Toniolo and Linder, Equation (10-)

Time bar (total: 9.1s)

start0.0ms (0%)

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

analyze758.0ms (8.4%)

Memory
24.2MiB live, 718.8MiB allocated; 221ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
0%0%99.9%0.1%0%0%0%7
0%0%99.9%0.1%0%0%0%8
0%0%99.9%0.1%0%0%0%9
2%2%97.9%0.1%0%0%0%10
2.9%2.9%96.9%0.1%0%0%0%11
3.8%3.8%96.1%0.1%0%0%0%12
Compiler

Compiled 27 to 21 computations (22.2% saved)

sample4.1s (45.3%)

Memory
-38.7MiB live, 3 704.8MiB allocated; 2.0s collecting garbage
Samples
1.6s1 630×2valid
934.0ms4 099×0valid
643.0ms1 405×3valid
420.0ms1 116×1valid
3.0ms4valid
Precisions
Click to see histograms. Total time spent on operations: 3.2s
adjust: 1.4s (43.7% of total)
ival-mult: 335.0ms (10.5% of total)
ival-pow: 278.0ms (8.7% of total)
ival-div: 276.0ms (8.7% of total)
ival-pow2: 249.0ms (7.8% of total)
ival-tan: 228.0ms (7.2% of total)
ival-sin: 223.0ms (7% of total)
ival-sub: 93.0ms (2.9% of total)
ival-add: 90.0ms (2.8% of total)
exact: 16.0ms (0.5% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

explain418.0ms (4.6%)

Memory
-9.9MiB live, 809.6MiB allocated; 104ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
830-3(4.218833661367371e+183 2.473449310728592e+131 -2.7527604241154933e+28)(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
750-2(1.012463209440202e-107 7.753904720075035e-111 4.5694894650467684e+219)(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
671(1.8041630621215663e+111 -4.305512584593768e-124 -4.915839302771713e-51)1(-6.349757717430712e+34 -1.8667288818981575e+21 -6.805917476889416e+33)(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
110-0-(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
40-0-(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
10-0-(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
00-0-k
00-0-(/.f64 k t)
00-0-t
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-(tan.f64 k)
00-0-(pow.f64 (/.f64 k t) #s(literal 2 binary64))
00-0-(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
00-0-(*.f64 l l)
00-0-(sin.f64 k)
00-0-(pow.f64 t #s(literal 3 binary64))
00-0-#s(literal 2 binary64)
00-0-l
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))cancellation671
*.f64(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))u*o380
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))underflow78
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))underflow99
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))underflow88
(pow.f64 t #s(literal 3 binary64))underflow73
(*.f64 l l)underflow52
(/.f64 k t)overflow28
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))overflow62
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))overflow62
(pow.f64 (/.f64 k t) #s(literal 2 binary64))overflow62
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))o/o250
(pow.f64 t #s(literal 3 binary64))overflow88
(*.f64 l l)overflow72
*.f64(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))o*u230
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))overflow80
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))overflow65
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))overflow69
(pow.f64 t #s(literal 3 binary64))overflow88
(*.f64 l l)overflow72
(/.f64 k t)underflow29
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))underflow68
(pow.f64 (/.f64 k t) #s(literal 2 binary64))underflow68
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))u/u150
(pow.f64 t #s(literal 3 binary64))underflow73
(*.f64 l l)underflow52
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))n/o120
(*.f64 l l)overflow72
*.f64(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))n*o110
*.f64(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))n*u100
*.f64(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))n*o90
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))o/n90
(pow.f64 t #s(literal 3 binary64))overflow88
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))n/u70
(*.f64 l l)underflow52
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))u/n50
(pow.f64 t #s(literal 3 binary64))underflow73
*.f64(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))n*o40
/.f64(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))n/o10
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))overflow65
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))overflow69
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))overflow66
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))overflow62
(/.f64 k t)overflow28
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))overflow80
(pow.f64 t #s(literal 3 binary64))overflow88
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))overflow62
(*.f64 l l)overflow72
(pow.f64 (/.f64 k t) #s(literal 2 binary64))overflow62
Confusion
Predicted +Predicted -
+1630
-2865
Precision
0.8534031413612565
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+16300
-28164
Precision?
0.8489583333333334
Recall?
1.0
Freqs
test
numberfreq
065
1148
241
32
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
68.0ms242×0valid
50.0ms114×2valid
38.0ms80×3valid
24.0ms74×1valid
1.0ms4valid
Compiler

Compiled 265 to 61 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 140.0ms
ival-mult: 30.0ms (21.4% of total)
adjust: 29.0ms (20.7% of total)
ival-div: 17.0ms (12.1% of total)
ival-sin: 17.0ms (12.1% of total)
ival-pow2: 14.0ms (10% of total)
ival-tan: 11.0ms (7.9% of total)
ival-pow: 10.0ms (7.1% of total)
ival-add: 6.0ms (4.3% of total)
ival-sub: 5.0ms (3.6% of total)
ival-true: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)

preprocess156.0ms (1.7%)

Memory
14.0MiB live, 103.1MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
086256
1250230
21176210
37995210
01925
03225
16223
220721
3144121
0876321
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (*.f64 (tan.f64 k) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64)))))
Symmetry

(abs l)

(abs k)

(negabs t)

Compiler

Compiled 25 to 19 computations (24% saved)

eval0.0ms (0%)

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

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.8%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Compiler

Compiled 25 to 19 computations (24% saved)

series117.0ms (1.3%)

Memory
-14.7MiB live, 128.3MiB allocated; 22ms collecting garbage
Counts
19 → 44
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
(pow.f64 t #s(literal 3 binary64))
t
#s(literal 3 binary64)
(*.f64 l l)
l
(sin.f64 k)
k
(tan.f64 k)
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 k t)
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (/ (* (pow t 3) (sin k)) (pow l 2))))
#s(approx (/ (pow t 3) (* l l)) #s(hole binary64 (/ (pow t 3) (pow l 2))))
#s(approx (pow t 3) #s(hole binary64 (pow t 3)))
#s(approx t #s(hole binary64 t))
#s(approx (- (+ 1 (pow (/ k t) 2)) 1) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (/ (+ (pow k 2) (pow t 2)) (pow t 2))))
#s(approx (pow (/ k t) 2) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (/ k t) #s(hole binary64 (/ k t)))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 1))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (+ 1 (/ (pow k 2) (pow t 2)))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx l #s(hole binary64 l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow k 2) (pow t 3)) (pow l 2))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/6 (/ (pow t 3) (pow l 2))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* 1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 31/360 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (/ (* k (pow t 3)) (pow l 2))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* -1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* 1/120 (/ (* (pow k 2) (pow t 3)) (pow l 2))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* -1/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/120 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))))
#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
#s(approx k #s(hole binary64 k))
#s(approx (tan k) #s(hole binary64 k))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* 1/3 (pow k 2))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* 2/15 (pow k 2))))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 2/15 (* 17/315 (pow k 2))))))))))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (tan k) #s(hole binary64 (/ (sin k) (cos k))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))))
Calls

9 calls:

TimeVariablePointExpression
44.0ms
k
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))
30.0ms
k
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))
11.0ms
t
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))
8.0ms
t
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))
6.0ms
k
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))

rewrite185.0ms (2%)

Memory
7.0MiB live, 287.3MiB allocated; 53ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02391361
02611320
113671264
081101229
Stop Event
iter limit
node limit
iter limit
Counts
63 → 192
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
(pow.f64 t #s(literal 3 binary64))
t
#s(literal 3 binary64)
(*.f64 l l)
l
(sin.f64 k)
k
(tan.f64 k)
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 k t)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (/ (* (pow t 3) (sin k)) (pow l 2))))
#s(approx (/ (pow t 3) (* l l)) #s(hole binary64 (/ (pow t 3) (pow l 2))))
#s(approx (pow t 3) #s(hole binary64 (pow t 3)))
#s(approx t #s(hole binary64 t))
#s(approx (- (+ 1 (pow (/ k t) 2)) 1) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (/ (+ (pow k 2) (pow t 2)) (pow t 2))))
#s(approx (pow (/ k t) 2) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (/ k t) #s(hole binary64 (/ k t)))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 1))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (+ 1 (/ (pow k 2) (pow t 2)))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx l #s(hole binary64 l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow k 2) (pow t 3)) (pow l 2))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/6 (/ (pow t 3) (pow l 2))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* 1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 31/360 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (/ (* k (pow t 3)) (pow l 2))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* -1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* 1/120 (/ (* (pow k 2) (pow t 3)) (pow l 2))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* -1/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/120 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))))
#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
#s(approx k #s(hole binary64 k))
#s(approx (tan k) #s(hole binary64 k))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* 1/3 (pow k 2))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* 2/15 (pow k 2))))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 2/15 (* 17/315 (pow k 2))))))))))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (tan k) #s(hole binary64 (/ (sin k) (cos k))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))))
Outputs
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)))) (-.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)))))))
(/.f64 #s(literal 2 binary64) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))))))
#s(literal 2 binary64)
(*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))))
(*.f64 (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (-.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)) (*.f64 (tan.f64 k) (-.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l) (*.f64 (sin.f64 k) (tan.f64 k)))
(*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)))
(*.f64 (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)) (tan.f64 k))
(/.f64 (*.f64 (neg.f64 (sin.f64 k)) (neg.f64 (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (neg.f64 (cos.f64 k)) (neg.f64 (*.f64 l l))))
(/.f64 (*.f64 (neg.f64 (sin.f64 k)) (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (neg.f64 (cos.f64 k)) (*.f64 l l)))
(/.f64 (*.f64 (sin.f64 k) (neg.f64 (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (cos.f64 k) (neg.f64 (*.f64 l l))))
(/.f64 (*.f64 (sin.f64 k) (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (cos.f64 k) (*.f64 l l)))
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (sin.f64 k))) (*.f64 (neg.f64 (*.f64 l l)) (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64)))) (sin.f64 k)) (*.f64 (neg.f64 (*.f64 l l)) (cos.f64 k)))
(/.f64 (*.f64 (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64))) (neg.f64 (sin.f64 k))) (*.f64 (*.f64 l l) (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64))) (sin.f64 k)) (*.f64 (cos.f64 k) (*.f64 l l)))
(*.f64 (/.f64 (sin.f64 k) (neg.f64 l)) (/.f64 (pow.f64 t #s(literal 3 binary64)) (neg.f64 l)))
(*.f64 (/.f64 (sin.f64 k) (fabs.f64 l)) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fabs.f64 l)))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (neg.f64 l)) (/.f64 (sin.f64 k) (neg.f64 l)))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fabs.f64 l)) (/.f64 (sin.f64 k) (fabs.f64 l)))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (/.f64 (sin.f64 k) l))
(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l) (sin.f64 k))
(*.f64 (sin.f64 k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l))
(*.f64 (pow.f64 t #s(literal 3 binary64)) (/.f64 (sin.f64 k) (*.f64 l l)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (neg.f64 (*.f64 l l))))
(/.f64 (neg.f64 (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (*.f64 l l)))
(/.f64 (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64))) (*.f64 l l))
(*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (neg.f64 l)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (neg.f64 l)))
(*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (fabs.f64 l)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (fabs.f64 l)))
(*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l))
(*.f64 (/.f64 (*.f64 t t) (neg.f64 l)) (/.f64 t (neg.f64 l)))
(*.f64 (/.f64 t (neg.f64 l)) (/.f64 (*.f64 t t) (neg.f64 l)))
(*.f64 (/.f64 (*.f64 t t) (fabs.f64 l)) (/.f64 t (fabs.f64 l)))
(*.f64 (/.f64 t (fabs.f64 l)) (/.f64 (*.f64 t t) (fabs.f64 l)))
(*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l))
(*.f64 (/.f64 t l) (/.f64 (*.f64 t t) l))
(/.f64 (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l)) (neg.f64 l))
(/.f64 (neg.f64 (pow.f64 (neg.f64 t) #s(literal 3 binary64))) (neg.f64 (neg.f64 (*.f64 l l))))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)
(/.f64 (pow.f64 (neg.f64 t) #s(literal 3 binary64)) (neg.f64 (*.f64 l l)))
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
(exp.f64 (-.f64 (*.f64 (log.f64 t) #s(literal 3 binary64)) (*.f64 (log.f64 l) #s(literal 2 binary64))))
(*.f64 (neg.f64 (pow.f64 t #s(literal 3/2 binary64))) (neg.f64 (pow.f64 t #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 t #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 t #s(literal 3/2 binary64))))
(*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64)))
(*.f64 (*.f64 t t) t)
(*.f64 t (*.f64 t t))
(pow.f64 (exp.f64 (log.f64 t)) #s(literal 3 binary64))
(pow.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 t t) #s(literal 3/2 binary64))
(pow.f64 t #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 t) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 t) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 t) #s(literal 3 binary64))))
t
#s(literal 3 binary64)
(*.f64 (neg.f64 (neg.f64 l)) (neg.f64 (neg.f64 l)))
(*.f64 (neg.f64 (fabs.f64 l)) (neg.f64 (fabs.f64 l)))
(*.f64 (fabs.f64 (fabs.f64 l)) (fabs.f64 (fabs.f64 l)))
(*.f64 (exp.f64 (log.f64 l)) (exp.f64 (log.f64 l)))
(*.f64 (neg.f64 l) (neg.f64 l))
(*.f64 (fabs.f64 l) (fabs.f64 l))
(*.f64 l l)
(pow.f64 (exp.f64 (log.f64 l)) #s(literal 2 binary64))
(pow.f64 (neg.f64 l) #s(literal 2 binary64))
(pow.f64 (fabs.f64 l) #s(literal 2 binary64))
(pow.f64 (*.f64 l l) #s(literal 1 binary64))
(pow.f64 l #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal -2 binary64)))
(fabs.f64 (*.f64 l l))
(exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))))
l
(*.f64 (pow.f64 (sin.f64 k) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 k) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 k) #s(literal 1 binary64))
(sin.f64 k)
(exp.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 1 binary64)))
k
(/.f64 (neg.f64 (neg.f64 (sin.f64 k))) (neg.f64 (neg.f64 (cos.f64 k))))
(/.f64 (+.f64 (tan.f64 k) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 k) (tan.f64 (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 k)) (neg.f64 (cos.f64 k)))
(/.f64 (sin.f64 k) (cos.f64 k))
(tan.f64 (+.f64 (+.f64 k (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 k (PI.f64)))
(tan.f64 k)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
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#s(approx (tan k) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 k k) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
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eval25.0ms (0.3%)

Memory
-0.4MiB live, 55.4MiB allocated; 11ms collecting garbage
Compiler

Compiled 6 485 to 1 101 computations (83% saved)

prune19.0ms (0.2%)

Memory
-6.8MiB live, 40.1MiB allocated; 2ms collecting garbage
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New18318201
Fresh000
Picked101
Done000
Total18418202
Accuracy
85.0%
Counts
202 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.3%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)) (*.f64 (tan.f64 k) (-.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
32.6%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
29.4%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
31.9%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
28.8%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
49.1%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
44.7%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
37.7%
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
36.2%
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
65.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) l) (/.f64 t l) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
65.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
65.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
68.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
78.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
34.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
51.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (pow.f64 k #s(literal 4 binary64))))
65.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
78.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
Compiler

Compiled 1 426 to 974 computations (31.7% saved)

series97.0ms (1.1%)

Memory
15.9MiB live, 206.1MiB allocated; 15ms collecting garbage
Counts
49 → 104
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l))))
(*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k))
(*.f64 (*.f64 k k) t)
(*.f64 k k)
k
t
(cos.f64 k)
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
(*.f64 l l)
l
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t))
(/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64)))
(pow.f64 k #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (*.f64 l l) t)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 k k))
#s(literal -2 binary64)
(*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64))
#s(literal 7/120 binary64)
(*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
(pow.f64 t #s(literal 3 binary64))
#s(literal 3 binary64)
(tan.f64 k)
(-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
#s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 k t)
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (/ (* (pow k 2) t) (cos k))))
#s(approx (* (* k k) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ 2 (pow k 4)) (/ (* l l) t)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (* l l) t) #s(hole binary64 (/ (pow l 2) t)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1/3 (pow l 2)) (* -7/60 (* (pow k 2) (pow l 2)))))) (* (pow k 4) t))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1/3 (pow l 2)) (* -7/60 (* (pow k 2) (pow l 2)))))) t)))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (/ (+ (* -1/3 (pow l 2)) (* -7/60 (* (pow k 2) (pow l 2)))) t)))
#s(approx (* (/ (* l l) t) 7/120) #s(hole binary64 (* 7/120 (/ (pow l 2) t))))
#s(approx (* (/ (* l l) t) -1/3) #s(hole binary64 (* -1/3 (/ (pow l 2) t))))
#s(approx (* (/ (* l l) t) 2) #s(hole binary64 (* 2 (/ (pow l 2) t))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (/ (* (pow t 3) (sin k)) (pow l 2))))
#s(approx (/ (pow t 3) (* l l)) #s(hole binary64 (/ (pow t 3) (pow l 2))))
#s(approx (pow t 3) #s(hole binary64 (pow t 3)))
#s(approx (- (+ 1 (pow (/ k t) 2)) 1) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (/ (+ (pow k 2) (pow t 2)) (pow t 2))))
#s(approx (pow (/ k t) 2) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (/ k t) #s(hole binary64 (/ k t)))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 1))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (+ 1 (/ (pow k 2) (pow t 2)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* -1 (/ (+ (* -2 (pow l 2)) (* (pow k 2) (+ (* 7/60 (* (pow k 2) (pow l 2))) (* 1/3 (pow l 2))))) (* (pow k 4) t)))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (* -1 (/ (+ (* -2 (pow l 2)) (* (pow k 2) (+ (* 7/60 (* (pow k 2) (pow l 2))) (* 1/3 (pow l 2))))) t))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* -1 (/ (+ (* 7/60 (* (pow k 2) (pow l 2))) (* 1/3 (pow l 2))) t))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (/ (pow (sin k) 2) (pow l 2))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx l #s(hole binary64 l))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (* (pow l 2) (+ (* (pow k 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t)))) (pow k 4))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (* (pow l 2) (+ (* (pow k 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t))))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* (pow l 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* 1/2 (* (pow k 2) t))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/720 t) (+ (* 1/48 t) (* 1/2 (+ (* -1/4 t) (* 1/24 t))))))) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
#s(approx (* k k) #s(hole binary64 (pow k 2)))
#s(approx k #s(hole binary64 k))
#s(approx (cos k) #s(hole binary64 1))
#s(approx (cos k) #s(hole binary64 (+ 1 (* -1/2 (pow k 2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (/ (pow k 2) (pow l 2))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (pow k 2) (pow l 2))) (/ 1 (pow l 2))))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* 2/45 (/ (pow k 2) (pow l 2))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* (pow k 2) (+ (* -1/315 (/ (pow k 2) (pow l 2))) (* 2/45 (/ 1 (pow l 2))))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow k 2)))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))))
#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
#s(approx (/ 2 (pow k 4)) #s(hole binary64 (/ 2 (pow k 4))))
#s(approx (pow k 4) #s(hole binary64 (pow k 4)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* -7/60 (/ (* (pow k 2) (pow l 2)) t))))) (pow k 4))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (* 2 (/ (pow l 2) t))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t)))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* -7/60 (/ (* (pow k 2) (pow l 2)) t)))))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* -1/3 (/ (pow l 2) t))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) t)) (* -7/60 (/ (* (pow k 2) (pow l 2)) t)))))
#s(approx (* -2 (* k k)) #s(hole binary64 (* -2 (pow k 2))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow k 2) (pow t 3)) (pow l 2))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/6 (/ (pow t 3) (pow l 2))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* 1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 31/360 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (/ (* k (pow t 3)) (pow l 2))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* -1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* 1/120 (/ (* (pow k 2) (pow t 3)) (pow l 2))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* -1/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/120 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))))
#s(approx (tan k) #s(hole binary64 k))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* 1/3 (pow k 2))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* 2/15 (pow k 2))))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 2/15 (* 17/315 (pow k 2))))))))))
#s(approx (cos k) #s(hole binary64 (cos k)))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow (sin k) 2)))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* -7/60 (/ (pow l 2) t))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (* -7/60 (/ (pow l 2) t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (+ (* -7/60 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 4) t)))))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (* -7/60 (/ (* (pow k 4) (pow l 2)) t))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (* (pow k 4) (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (* -7/60 (/ (pow l 2) t))))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (* (pow k 4) (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (+ (* -7/60 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 4) t))))))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* -7/60 (/ (* (pow k 2) (pow l 2)) t))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (* -7/60 (/ (pow l 2) t))))))
#s(approx (tan k) #s(hole binary64 (/ (sin k) (cos k))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))))
Calls

9 calls:

TimeVariablePointExpression
16.0ms
t
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (* k k) k t (cos k) (/ (pow (sin k) 2) (* l l)) (pow (sin k) 2) (sin k) (* l l) l (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (pow k 4)) (/ (* l l) t)) (/ 2 (pow k 4)) (pow k 4) 4 (/ (* l l) t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* -2 (* k k)) -2 (* (/ (* l l) t) 7/120) 7/120 (* (/ (* l l) t) -1/3) -1/3 (* (/ (* l l) t) 2) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) 3 (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) (pow (/ k t) 2) (/ k t))
12.0ms
t
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (* k k) k t (cos k) (/ (pow (sin k) 2) (* l l)) (pow (sin k) 2) (sin k) (* l l) l (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (pow k 4)) (/ (* l l) t)) (/ 2 (pow k 4)) (pow k 4) 4 (/ (* l l) t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* -2 (* k k)) -2 (* (/ (* l l) t) 7/120) 7/120 (* (/ (* l l) t) -1/3) -1/3 (* (/ (* l l) t) 2) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) 3 (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) (pow (/ k t) 2) (/ k t))
11.0ms
l
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (* k k) k t (cos k) (/ (pow (sin k) 2) (* l l)) (pow (sin k) 2) (sin k) (* l l) l (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (pow k 4)) (/ (* l l) t)) (/ 2 (pow k 4)) (pow k 4) 4 (/ (* l l) t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* -2 (* k k)) -2 (* (/ (* l l) t) 7/120) 7/120 (* (/ (* l l) t) -1/3) -1/3 (* (/ (* l l) t) 2) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) 3 (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) (pow (/ k t) 2) (/ k t))
10.0ms
k
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (* k k) k t (cos k) (/ (pow (sin k) 2) (* l l)) (pow (sin k) 2) (sin k) (* l l) l (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (pow k 4)) (/ (* l l) t)) (/ 2 (pow k 4)) (pow k 4) 4 (/ (* l l) t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* -2 (* k k)) -2 (* (/ (* l l) t) 7/120) 7/120 (* (/ (* l l) t) -1/3) -1/3 (* (/ (* l l) t) 2) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) 3 (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) (pow (/ k t) 2) (/ k t))
10.0ms
t
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (* k k) k t (cos k) (/ (pow (sin k) 2) (* l l)) (pow (sin k) 2) (sin k) (* l l) l (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (pow k 4)) (/ (* l l) t)) (/ 2 (pow k 4)) (pow k 4) 4 (/ (* l l) t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* -2 (* k k)) -2 (* (/ (* l l) t) 7/120) 7/120 (* (/ (* l l) t) -1/3) -1/3 (* (/ (* l l) t) 2) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) 3 (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) (pow (/ k t) 2) (/ k t))

rewrite176.0ms (1.9%)

Memory
2.4MiB live, 233.1MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05114047
05813893
129053815
082483726
Stop Event
iter limit
node limit
iter limit
Counts
153 → 503
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l))))
(*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k))
(*.f64 (*.f64 k k) t)
(*.f64 k k)
k
t
(cos.f64 k)
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
(*.f64 l l)
l
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t))
(/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64)))
(pow.f64 k #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (*.f64 l l) t)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 k k))
#s(literal -2 binary64)
(*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64))
#s(literal 7/120 binary64)
(*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
(pow.f64 t #s(literal 3 binary64))
#s(literal 3 binary64)
(tan.f64 k)
(-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
#s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 k t)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (/ (* (pow k 2) t) (cos k))))
#s(approx (* (* k k) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ 2 (pow k 4)) (/ (* l l) t)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (* l l) t) #s(hole binary64 (/ (pow l 2) t)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1/3 (pow l 2)) (* -7/60 (* (pow k 2) (pow l 2)))))) (* (pow k 4) t))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1/3 (pow l 2)) (* -7/60 (* (pow k 2) (pow l 2)))))) t)))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (/ (+ (* -1/3 (pow l 2)) (* -7/60 (* (pow k 2) (pow l 2)))) t)))
#s(approx (* (/ (* l l) t) 7/120) #s(hole binary64 (* 7/120 (/ (pow l 2) t))))
#s(approx (* (/ (* l l) t) -1/3) #s(hole binary64 (* -1/3 (/ (pow l 2) t))))
#s(approx (* (/ (* l l) t) 2) #s(hole binary64 (* 2 (/ (pow l 2) t))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (/ (* (pow t 3) (sin k)) (pow l 2))))
#s(approx (/ (pow t 3) (* l l)) #s(hole binary64 (/ (pow t 3) (pow l 2))))
#s(approx (pow t 3) #s(hole binary64 (pow t 3)))
#s(approx (- (+ 1 (pow (/ k t) 2)) 1) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (/ (+ (pow k 2) (pow t 2)) (pow t 2))))
#s(approx (pow (/ k t) 2) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (/ k t) #s(hole binary64 (/ k t)))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 1))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (+ 1 (/ (pow k 2) (pow t 2)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* -1 (/ (+ (* -2 (pow l 2)) (* (pow k 2) (+ (* 7/60 (* (pow k 2) (pow l 2))) (* 1/3 (pow l 2))))) (* (pow k 4) t)))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (* -1 (/ (+ (* -2 (pow l 2)) (* (pow k 2) (+ (* 7/60 (* (pow k 2) (pow l 2))) (* 1/3 (pow l 2))))) t))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* -1 (/ (+ (* 7/60 (* (pow k 2) (pow l 2))) (* 1/3 (pow l 2))) t))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (/ (pow (sin k) 2) (pow l 2))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx l #s(hole binary64 l))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (* (pow l 2) (+ (* (pow k 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t)))) (pow k 4))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (* (pow l 2) (+ (* (pow k 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t))))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* (pow l 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* 1/2 (* (pow k 2) t))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/720 t) (+ (* 1/48 t) (* 1/2 (+ (* -1/4 t) (* 1/24 t))))))) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
#s(approx (* k k) #s(hole binary64 (pow k 2)))
#s(approx k #s(hole binary64 k))
#s(approx (cos k) #s(hole binary64 1))
#s(approx (cos k) #s(hole binary64 (+ 1 (* -1/2 (pow k 2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (/ (pow k 2) (pow l 2))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (pow k 2) (pow l 2))) (/ 1 (pow l 2))))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* 2/45 (/ (pow k 2) (pow l 2))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* (pow k 2) (+ (* -1/315 (/ (pow k 2) (pow l 2))) (* 2/45 (/ 1 (pow l 2))))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow k 2)))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))))
#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
#s(approx (/ 2 (pow k 4)) #s(hole binary64 (/ 2 (pow k 4))))
#s(approx (pow k 4) #s(hole binary64 (pow k 4)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* -7/60 (/ (* (pow k 2) (pow l 2)) t))))) (pow k 4))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (* 2 (/ (pow l 2) t))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t)))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* -7/60 (/ (* (pow k 2) (pow l 2)) t)))))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* -1/3 (/ (pow l 2) t))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) t)) (* -7/60 (/ (* (pow k 2) (pow l 2)) t)))))
#s(approx (* -2 (* k k)) #s(hole binary64 (* -2 (pow k 2))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow k 2) (pow t 3)) (pow l 2))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/6 (/ (pow t 3) (pow l 2))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* 1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 31/360 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (/ (* k (pow t 3)) (pow l 2))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* -1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* 1/120 (/ (* (pow k 2) (pow t 3)) (pow l 2))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* -1/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/120 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))))
#s(approx (tan k) #s(hole binary64 k))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* 1/3 (pow k 2))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* 2/15 (pow k 2))))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 2/15 (* 17/315 (pow k 2))))))))))
#s(approx (cos k) #s(hole binary64 (cos k)))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow (sin k) 2)))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* -7/60 (/ (pow l 2) t))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (* -7/60 (/ (pow l 2) t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (+ (* -7/60 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 4) t)))))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (* -7/60 (/ (* (pow k 4) (pow l 2)) t))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (* (pow k 4) (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (* -7/60 (/ (pow l 2) t))))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (* (pow k 4) (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (+ (* -7/60 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 4) t))))))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* -7/60 (/ (* (pow k 2) (pow l 2)) t))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (* -7/60 (/ (pow l 2) t))))))
#s(approx (tan k) #s(hole binary64 (/ (sin k) (cos k))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))))
Outputs
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k))))
(*.f64 (/.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (neg.f64 l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (neg.f64 l)))
(*.f64 (/.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (fabs.f64 l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (fabs.f64 l)))
(*.f64 (/.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k)))
(*.f64 (/.f64 (*.f64 k k) (cos.f64 k)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l)))
(*.f64 (*.f64 (/.f64 k l) (/.f64 k l)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)))
(*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l) (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))))
(*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l))
(*.f64 (*.f64 k k) (*.f64 (/.f64 t (cos.f64 k)) (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l)))
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#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 k k)) #s(literal 1/3 binary64)) t) (*.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) k) k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 151/7560 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l)))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) l) (/.f64 t l) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l)))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (*.f64 (fma.f64 (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) l) (/.f64 t l) (*.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 t (*.f64 l l))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) (*.f64 k k))) (*.f64 #s(literal -1/2 binary64) (/.f64 t (*.f64 l l)))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) l) (/.f64 t l) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2/45 binary64) l) (/.f64 t l) (*.f64 (-.f64 (*.f64 #s(literal -1/315 binary64) (/.f64 t (*.f64 l l))) (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 t (*.f64 l l))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/720 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64)))))) (*.f64 k k))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) (*.f64 k k))) (*.f64 #s(literal -1/2 binary64) (/.f64 t (*.f64 l l)))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t))
#s(approx (/ (* (* k k) t) (cos k)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 k k)))
#s(approx (/ (* (* k k) t) (cos k)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 k k)) (*.f64 t #s(literal -5/24 binary64)) (*.f64 #s(literal 1/2 binary64) t)) (*.f64 k k) t) (*.f64 k k)))
#s(approx (/ (* (* k k) t) (cos k)) (*.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) t (fma.f64 #s(literal 1/48 binary64) t (*.f64 (*.f64 t #s(literal -5/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 k k))) (*.f64 t #s(literal -5/24 binary64))) (*.f64 k k) (*.f64 #s(literal 1/2 binary64) t)) (*.f64 k k) t) (*.f64 k k)))
#s(approx (* k k) (*.f64 k k))
#s(approx k k)
#s(approx (cos k) #s(literal 1 binary64))
#s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (cos k) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 k k) #s(literal 1/24 binary64)) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l)))
#s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 l l)) (*.f64 k k) (pow.f64 l #s(literal -2 binary64))) (*.f64 k k)))
#s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 k k) #s(literal 2/45 binary64)) (*.f64 l l)) (*.f64 k k) (*.f64 #s(literal -1/3 binary64) (pow.f64 l #s(literal -2 binary64)))) (*.f64 k k) (pow.f64 l #s(literal -2 binary64))) (*.f64 k k)))
#s(approx (pow (sin k) 2) (*.f64 k k))
#s(approx (pow (sin k) 2) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (pow (sin k) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (pow (sin k) 2) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 k k) #s(literal 2/45 binary64)) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (sin k) k)
#s(approx (sin k) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (sin k) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (sin k) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 k k) #s(literal 1/120 binary64)) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (/ 2 (pow k 4)) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))))
#s(approx (pow k 4) (pow.f64 k #s(literal 4 binary64)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) #s(literal -7/60 binary64) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) t) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) #s(literal -7/60 binary64) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) t) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64)))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (/.f64 (fma.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) #s(literal -7/60 binary64) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) t))
#s(approx (* -2 (* k k)) (*.f64 (*.f64 #s(literal -2 binary64) k) k))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) (pow.f64 t #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))) (*.f64 l l)) (*.f64 k k)))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) (pow.f64 t #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 t #s(literal 3 binary64)))) (*.f64 l l)) (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) (*.f64 k k)))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) (pow.f64 t #s(literal 3 binary64))) (*.f64 #s(literal 31/360 binary64) (pow.f64 t #s(literal 3 binary64)))) (*.f64 l l)) (*.f64 k k) (*.f64 (/.f64 #s(literal 1/6 binary64) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) (*.f64 k k)))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 k l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 k k) (pow.f64 t #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))) (*.f64 l l)) k))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 k k) (pow.f64 t #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 t #s(literal 3 binary64)))) (*.f64 l l)) (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) k))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 k k) (pow.f64 t #s(literal 3 binary64))) (*.f64 #s(literal 1/120 binary64) (pow.f64 t #s(literal 3 binary64)))) (*.f64 l l)) (*.f64 k k) (*.f64 (/.f64 #s(literal -1/6 binary64) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) k))
#s(approx (tan k) k)
#s(approx (tan k) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (tan k) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 k k) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (tan k) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 k k) #s(literal 2/15 binary64)) (*.f64 k k) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (cos k) (cos.f64 k))
#s(approx (pow (sin k) 2) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
#s(approx (sin k) (sin.f64 k))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 k k)) (/.f64 (*.f64 l l) t) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (fma.f64 (/.f64 #s(literal -1/3 binary64) k) (/.f64 (*.f64 l l) (*.f64 k t)) (/.f64 (fma.f64 #s(literal -7/60 binary64) (*.f64 l l) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l l))) t)))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (*.f64 (*.f64 (pow.f64 k #s(literal 4 binary64)) (/.f64 (*.f64 l l) t)) #s(literal -7/60 binary64)))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 k k)) (/.f64 (*.f64 l l) t) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) k) (/.f64 (*.f64 l l) (*.f64 k t)) (/.f64 (fma.f64 #s(literal -7/60 binary64) (*.f64 l l) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l l))) t)) (pow.f64 k #s(literal 4 binary64))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) t) #s(literal -7/60 binary64)))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 k k)) (/.f64 (*.f64 l l) t) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))) (*.f64 k k)))
#s(approx (tan k) (tan.f64 k))
#s(approx (+ 1 (pow (/ k t) 2)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 k k))))

eval145.0ms (1.6%)

Memory
-4.0MiB live, 160.0MiB allocated; 98ms collecting garbage
Compiler

Compiled 40 914 to 3 321 computations (91.9% saved)

prune80.0ms (0.9%)

Memory
-11.9MiB live, 81.3MiB allocated; 6ms collecting garbage
Pruning

31 alts after pruning (31 fresh and 0 done)

PrunedKeptTotal
New79529824
Fresh11213
Picked505
Done000
Total81131842
Accuracy
98.0%
Counts
842 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.9%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
77.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 (cos.f64 k) (*.f64 l l)))))
86.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
88.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l) (/.f64 (*.f64 k k) l)) (cos.f64 k))))
77.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l l))))
77.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (neg.f64 (*.f64 k k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (neg.f64 (*.f64 l l)) (cos.f64 k)))))
68.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
77.8%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k)))))
90.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l)))))
86.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))))
69.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
71.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
82.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (sin.f64 k) l)))))
74.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
81.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
94.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
82.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (/.f64 t (cos.f64 k)) (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l)))))
70.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
34.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
35.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
51.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
66.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l l)) t))
66.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
67.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
67.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
65.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
78.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
64.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) (/.f64 (*.f64 l l) t)))
68.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
65.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 l l) t)))
21.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
Compiler

Compiled 2 772 to 1 874 computations (32.4% saved)

series92.0ms (1%)

Memory
7.1MiB live, 107.6MiB allocated; 7ms collecting garbage
Counts
40 → 95
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))
(*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
(*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l))
(/.f64 k l)
k
l
(/.f64 (*.f64 k t) l)
(*.f64 k t)
t
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
(cos.f64 k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t)))
(*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))
#s(literal -7/60 binary64)
(/.f64 (*.f64 l l) t)
(*.f64 l l)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l l)) t))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l l)) t)
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l l))
(/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64)))
(pow.f64 k #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l))))
(*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
#s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t))
(*.f64 (*.f64 k k) t)
(*.f64 k k)
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k)))
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(/.f64 (*.f64 k k) (cos.f64 k))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (/ k l) (/ (* k t) l)) #s(hole binary64 (/ (* (pow k 2) t) (pow l 2))))
#s(approx (/ (* k t) l) #s(hole binary64 (/ (* k t) l)))
#s(approx (* k t) #s(hole binary64 (* k t)))
#s(approx t #s(hole binary64 t))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1/3 (pow l 2)) (* -7/60 (* (pow k 2) (pow l 2)))))) (* (pow k 4) t))))
#s(approx (* -7/60 (/ (* l l) t)) #s(hole binary64 (* -7/60 (/ (pow l 2) t))))
#s(approx (/ (* l l) t) #s(hole binary64 (/ (pow l 2) t)))
#s(approx (/ (* (/ 2 (pow k 4)) (* l l)) t) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (/ (* (pow k 2) t) (cos k))))
#s(approx (* (* k k) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) #s(hole binary64 (/ (* t (pow (sin k) 2)) (pow l 2))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* t (pow (sin k) 2))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* -1 (/ (+ (* -2 (pow l 2)) (* (pow k 2) (+ (* 7/60 (* (pow k 2) (pow l 2))) (* 1/3 (pow l 2))))) (* (pow k 4) t)))))
#s(approx (/ k l) #s(hole binary64 (/ k l)))
#s(approx l #s(hole binary64 l))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (* (pow l 2) (+ (* (pow k 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t)))) (pow k 4))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx (* (/ 2 (pow k 4)) (* l l)) #s(hole binary64 (* 2 (/ (pow l 2) (pow k 4)))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (/ (pow (sin k) 2) (pow l 2))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx k #s(hole binary64 k))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (pow k 2)))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* 1/6 (pow k 2))))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* 31/360 (pow k 2))))))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* (pow k 2) (+ 31/360 (* 173/5040 (pow k 2))))))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow k 2)))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))))
#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
#s(approx (cos k) #s(hole binary64 1))
#s(approx (cos k) #s(hole binary64 (+ 1 (* -1/2 (pow k 2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* -7/60 (/ (* (pow k 2) (pow l 2)) t))))) (pow k 4))))
#s(approx (/ 2 (pow k 4)) #s(hole binary64 (/ 2 (pow k 4))))
#s(approx (pow k 4) #s(hole binary64 (pow k 4)))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* 1/2 (* (pow k 2) t))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/720 t) (+ (* 1/48 t) (* 1/2 (+ (* -1/4 t) (* 1/24 t))))))) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
#s(approx (* k k) #s(hole binary64 (pow k 2)))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (/ (pow k 2) (pow l 2))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (pow k 2) (pow l 2))) (/ 1 (pow l 2))))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* 2/45 (/ (pow k 2) (pow l 2))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* (pow k 2) (+ (* -1/315 (/ (pow k 2) (pow l 2))) (* 2/45 (/ 1 (pow l 2))))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) #s(hole binary64 (/ (* (pow k 2) t) (pow l 2))))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* -1/3 (/ t (pow l 2))) (* 2/45 (/ (* (pow k 2) t) (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (+ (* -1/315 (/ (* (pow k 2) t) (pow l 2))) (* 2/45 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))))
#s(approx (/ (* k k) (cos k)) #s(hole binary64 (pow k 2)))
#s(approx (/ (* k k) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* 1/2 (pow k 2))))))
#s(approx (/ (* k k) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/2 (* 5/24 (pow k 2))))))))
#s(approx (/ (* k k) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/2 (* (pow k 2) (+ 5/24 (* 61/720 (pow k 2))))))))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (/ (pow (sin k) 2) (cos k))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow (sin k) 2)))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (cos k) #s(hole binary64 (cos k)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* -7/60 (/ (pow l 2) t))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (* -7/60 (/ (pow l 2) t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (+ (* -7/60 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 4) t)))))))
#s(approx (/ (* k k) (cos k)) #s(hole binary64 (/ (pow k 2) (cos k))))
Calls

9 calls:

TimeVariablePointExpression
21.0ms
k
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) (* (/ k l) (/ (* k t) l)) (/ k l) k l (/ (* k t) l) (* k t) t (/ (pow (sin k) 2) (cos k)) (pow (sin k) 2) (sin k) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (* -7/60 (/ (* l l) t)) -7/60 (/ (* l l) t) (* l l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (/ 2 (pow k 4)) (* l l)) t) (* (/ 2 (pow k 4)) (* l l)) (/ 2 (pow k 4)) (pow k 4) 4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (* k k) (/ (pow (sin k) 2) (* l l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) (/ (* (pow (sin k) 2) t) (* l l)) (* (pow (sin k) 2) t) (/ (* k k) (cos k)))
9.0ms
t
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) (* (/ k l) (/ (* k t) l)) (/ k l) k l (/ (* k t) l) (* k t) t (/ (pow (sin k) 2) (cos k)) (pow (sin k) 2) (sin k) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (* -7/60 (/ (* l l) t)) -7/60 (/ (* l l) t) (* l l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (/ 2 (pow k 4)) (* l l)) t) (* (/ 2 (pow k 4)) (* l l)) (/ 2 (pow k 4)) (pow k 4) 4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (* k k) (/ (pow (sin k) 2) (* l l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) (/ (* (pow (sin k) 2) t) (* l l)) (* (pow (sin k) 2) t) (/ (* k k) (cos k)))
8.0ms
l
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) (* (/ k l) (/ (* k t) l)) (/ k l) k l (/ (* k t) l) (* k t) t (/ (pow (sin k) 2) (cos k)) (pow (sin k) 2) (sin k) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (* -7/60 (/ (* l l) t)) -7/60 (/ (* l l) t) (* l l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (/ 2 (pow k 4)) (* l l)) t) (* (/ 2 (pow k 4)) (* l l)) (/ 2 (pow k 4)) (pow k 4) 4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (* k k) (/ (pow (sin k) 2) (* l l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) (/ (* (pow (sin k) 2) t) (* l l)) (* (pow (sin k) 2) t) (/ (* k k) (cos k)))
8.0ms
k
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) (* (/ k l) (/ (* k t) l)) (/ k l) k l (/ (* k t) l) (* k t) t (/ (pow (sin k) 2) (cos k)) (pow (sin k) 2) (sin k) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (* -7/60 (/ (* l l) t)) -7/60 (/ (* l l) t) (* l l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (/ 2 (pow k 4)) (* l l)) t) (* (/ 2 (pow k 4)) (* l l)) (/ 2 (pow k 4)) (pow k 4) 4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (* k k) (/ (pow (sin k) 2) (* l l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) (/ (* (pow (sin k) 2) t) (* l l)) (* (pow (sin k) 2) t) (/ (* k k) (cos k)))
8.0ms
t
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) (* (/ k l) (/ (* k t) l)) (/ k l) k l (/ (* k t) l) (* k t) t (/ (pow (sin k) 2) (cos k)) (pow (sin k) 2) (sin k) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (* -7/60 (/ (* l l) t)) -7/60 (/ (* l l) t) (* l l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (/ 2 (pow k 4)) (* l l)) t) (* (/ 2 (pow k 4)) (* l l)) (/ 2 (pow k 4)) (pow k 4) 4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (* k k) (/ (pow (sin k) 2) (* l l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) (/ (* (pow (sin k) 2) t) (* l l)) (* (pow (sin k) 2) t) (/ (* k k) (cos k)))

rewrite169.0ms (1.9%)

Memory
29.1MiB live, 213.2MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04933935
05443740
128493698
080213572
Stop Event
iter limit
node limit
iter limit
Counts
135 → 464
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))
(*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
(*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l))
(/.f64 k l)
k
l
(/.f64 (*.f64 k t) l)
(*.f64 k t)
t
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
(cos.f64 k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t)))
(*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))
#s(literal -7/60 binary64)
(/.f64 (*.f64 l l) t)
(*.f64 l l)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l l)) t))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l l)) t)
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l l))
(/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64)))
(pow.f64 k #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l))))
(*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
#s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t))
(*.f64 (*.f64 k k) t)
(*.f64 k k)
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k)))
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(/.f64 (*.f64 k k) (cos.f64 k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (/ k l) (/ (* k t) l)) #s(hole binary64 (/ (* (pow k 2) t) (pow l 2))))
#s(approx (/ (* k t) l) #s(hole binary64 (/ (* k t) l)))
#s(approx (* k t) #s(hole binary64 (* k t)))
#s(approx t #s(hole binary64 t))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1/3 (pow l 2)) (* -7/60 (* (pow k 2) (pow l 2)))))) (* (pow k 4) t))))
#s(approx (* -7/60 (/ (* l l) t)) #s(hole binary64 (* -7/60 (/ (pow l 2) t))))
#s(approx (/ (* l l) t) #s(hole binary64 (/ (pow l 2) t)))
#s(approx (/ (* (/ 2 (pow k 4)) (* l l)) t) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (/ (* (pow k 2) t) (cos k))))
#s(approx (* (* k k) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) #s(hole binary64 (/ (* t (pow (sin k) 2)) (pow l 2))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* t (pow (sin k) 2))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* -1 (/ (+ (* -2 (pow l 2)) (* (pow k 2) (+ (* 7/60 (* (pow k 2) (pow l 2))) (* 1/3 (pow l 2))))) (* (pow k 4) t)))))
#s(approx (/ k l) #s(hole binary64 (/ k l)))
#s(approx l #s(hole binary64 l))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (* (pow l 2) (+ (* (pow k 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t)))) (pow k 4))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx (* (/ 2 (pow k 4)) (* l l)) #s(hole binary64 (* 2 (/ (pow l 2) (pow k 4)))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (/ (pow (sin k) 2) (pow l 2))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx k #s(hole binary64 k))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (pow k 2)))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* 1/6 (pow k 2))))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* 31/360 (pow k 2))))))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* (pow k 2) (+ 31/360 (* 173/5040 (pow k 2))))))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow k 2)))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))))
#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
#s(approx (cos k) #s(hole binary64 1))
#s(approx (cos k) #s(hole binary64 (+ 1 (* -1/2 (pow k 2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* -7/60 (/ (* (pow k 2) (pow l 2)) t))))) (pow k 4))))
#s(approx (/ 2 (pow k 4)) #s(hole binary64 (/ 2 (pow k 4))))
#s(approx (pow k 4) #s(hole binary64 (pow k 4)))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* 1/2 (* (pow k 2) t))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/720 t) (+ (* 1/48 t) (* 1/2 (+ (* -1/4 t) (* 1/24 t))))))) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
#s(approx (* k k) #s(hole binary64 (pow k 2)))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (/ (pow k 2) (pow l 2))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (pow k 2) (pow l 2))) (/ 1 (pow l 2))))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* 2/45 (/ (pow k 2) (pow l 2))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* (pow k 2) (+ (* -1/315 (/ (pow k 2) (pow l 2))) (* 2/45 (/ 1 (pow l 2))))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) #s(hole binary64 (/ (* (pow k 2) t) (pow l 2))))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* -1/3 (/ t (pow l 2))) (* 2/45 (/ (* (pow k 2) t) (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (+ (* -1/315 (/ (* (pow k 2) t) (pow l 2))) (* 2/45 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))))
#s(approx (/ (* k k) (cos k)) #s(hole binary64 (pow k 2)))
#s(approx (/ (* k k) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* 1/2 (pow k 2))))))
#s(approx (/ (* k k) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/2 (* 5/24 (pow k 2))))))))
#s(approx (/ (* k k) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/2 (* (pow k 2) (+ 5/24 (* 61/720 (pow k 2))))))))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (/ (pow (sin k) 2) (cos k))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow (sin k) 2)))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (cos k) #s(hole binary64 (cos k)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* -7/60 (/ (pow l 2) t))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (* -7/60 (/ (pow l 2) t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (+ (* -7/60 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 4) t)))))))
#s(approx (/ (* k k) (cos k)) #s(hole binary64 (/ (pow k 2) (cos k))))
Outputs
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l)))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l))))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (neg.f64 l)) (/.f64 (*.f64 k (/.f64 k (cos.f64 k))) (neg.f64 l)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (fabs.f64 l)) (/.f64 (*.f64 k (/.f64 k (cos.f64 k))) (fabs.f64 l)))
(*.f64 (/.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (neg.f64 l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (neg.f64 l)))
(*.f64 (/.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (fabs.f64 l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (fabs.f64 l)))
(*.f64 (/.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l) (/.f64 (*.f64 k (/.f64 k (cos.f64 k))) l))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l)))
(*.f64 (*.f64 (/.f64 k l) (/.f64 k l)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)))
(*.f64 (*.f64 k (/.f64 k (cos.f64 k))) (*.f64 (/.f64 t l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l)))
(*.f64 (*.f64 (/.f64 t l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l)) (*.f64 k (/.f64 k (cos.f64 k))))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l) (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))))
(*.f64 (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
(*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l)))
(*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))
(*.f64 (*.f64 k k) (*.f64 (/.f64 t (cos.f64 k)) (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l)))
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(/.f64 (*.f64 (*.f64 (*.f64 k k) t) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l)) (*.f64 (cos.f64 k) l))
(/.f64 (*.f64 (*.f64 k (/.f64 (*.f64 k t) l)) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 l (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (*.f64 k (/.f64 (*.f64 k t) l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (cos.f64 k)))
(/.f64 (*.f64 (*.f64 (/.f64 k l) (*.f64 k t)) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 l (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (*.f64 (/.f64 k l) (*.f64 k t)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l (cos.f64 k)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 k k) t)) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (neg.f64 (*.f64 l l)) (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 k k) t)) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (neg.f64 (cos.f64 k)) (neg.f64 (*.f64 l l))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 k k) t)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 l l)) (cos.f64 k)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 k k) t)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (neg.f64 (cos.f64 k)) (*.f64 l l)))
(/.f64 (*.f64 (*.f64 (*.f64 k k) t) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 l l) (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (*.f64 (*.f64 k k) t) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (cos.f64 k) (neg.f64 (*.f64 l l))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 k (/.f64 (*.f64 k t) l))) (*.f64 (neg.f64 (cos.f64 k)) l))
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(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 k k) t))) (*.f64 (neg.f64 (*.f64 l l)) (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 k k) t))) (*.f64 (neg.f64 (cos.f64 k)) (neg.f64 (*.f64 l l))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 k k) t)) (*.f64 (neg.f64 (*.f64 l l)) (cos.f64 k)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 k k) t)) (*.f64 (neg.f64 (cos.f64 k)) (*.f64 l l)))
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 k (/.f64 (*.f64 k t) l))) (*.f64 (cos.f64 k) l))
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k l) (*.f64 k t))) (*.f64 (cos.f64 k) l))
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 k k) t))) (*.f64 (*.f64 l l) (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 k k) t))) (*.f64 (cos.f64 k) (neg.f64 (*.f64 l l))))
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 (*.f64 l l) (cos.f64 k)))
(/.f64 (*.f64 (/.f64 (*.f64 k k) l) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l)) (cos.f64 k))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 k (/.f64 k (cos.f64 k)))) (*.f64 l l))
(/.f64 (*.f64 (*.f64 (*.f64 k k) t) (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l)) (cos.f64 k))
(/.f64 (*.f64 (*.f64 (/.f64 t l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l)) (*.f64 k k)) (cos.f64 k))
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (cos.f64 k))
(/.f64 (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l l))
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 k k))) (neg.f64 (*.f64 (*.f64 l l) (cos.f64 k))))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 k k)) (*.f64 (*.f64 l l) (cos.f64 k)))
(*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (neg.f64 l)) (/.f64 t (neg.f64 l)))
(*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (fabs.f64 l)) (/.f64 t (fabs.f64 l)))
(*.f64 (/.f64 t (neg.f64 l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (neg.f64 l)))
(*.f64 (/.f64 t (fabs.f64 l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (fabs.f64 l)))
(*.f64 (/.f64 t l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (/.f64 t l))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (*.f64 l l)))
(*.f64 t (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l))
(/.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l)) (neg.f64 l))
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) (neg.f64 (neg.f64 (*.f64 l l))))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l) l)
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (neg.f64 (*.f64 l l)))
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(*.f64 k (/.f64 k (cos.f64 k)))
(/.f64 (neg.f64 (neg.f64 (*.f64 k k))) (neg.f64 (neg.f64 (cos.f64 k))))
(/.f64 (neg.f64 (*.f64 k k)) (neg.f64 (cos.f64 k)))
(/.f64 (*.f64 k k) (cos.f64 k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (cos.f64 k) k) (/.f64 (*.f64 l l) k))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l))))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l))))
#s(approx (* (/ k l) (/ (* k t) l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l)))
#s(approx (/ (* k t) l) (/.f64 (*.f64 k t) l))
#s(approx (* k t) (*.f64 k t))
#s(approx t t)
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) #s(literal -7/60 binary64) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal 2 binary64))) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (* -7/60 (/ (* l l) t)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64)))
#s(approx (/ (* l l) t) (/.f64 (*.f64 l l) t))
#s(approx (/ (* (/ 2 (pow k 4)) (* l l)) t) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l))))
#s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))))
#s(approx (* (* k k) t) (*.f64 (*.f64 k k) t))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l))))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 t l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l)))
#s(approx (* (pow (sin k) 2) t) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 7/60 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal -2 binary64))) (*.f64 (pow.f64 k #s(literal 4 binary64)) t))))
#s(approx (/ k l) (/.f64 k l))
#s(approx l l)
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 k k)) #s(literal 1/3 binary64)) t) (*.f64 k k) (/.f64 #s(literal 2 binary64) t)) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* l l) (*.f64 l l))
#s(approx (* (/ 2 (pow k 4)) (* l l)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) l))
#s(approx (/ (pow (sin k) 2) (* l l)) (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64) (*.f64 (*.f64 k k) (fma.f64 (*.f64 (*.f64 k k) #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 151/7560 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l)))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) l) (/.f64 t l) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l)))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) (*.f64 (fma.f64 (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) l) (/.f64 t l) (*.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 t (*.f64 l l))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) (*.f64 k k))) (*.f64 #s(literal -1/2 binary64) (/.f64 t (*.f64 l l)))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) l) (/.f64 t l) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2/45 binary64) l) (/.f64 t l) (*.f64 (-.f64 (*.f64 #s(literal -1/315 binary64) (/.f64 t (*.f64 l l))) (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 t (*.f64 l l))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/720 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64)))))) (*.f64 k k))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) (*.f64 k k))) (*.f64 #s(literal -1/2 binary64) (/.f64 t (*.f64 l l)))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx k k)
#s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k))
#s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 (fma.f64 #s(literal 31/360 binary64) (*.f64 k k) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64)) (*.f64 k k) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (pow (sin k) 2) (*.f64 k k))
#s(approx (pow (sin k) 2) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (pow (sin k) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (pow (sin k) 2) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 k k) #s(literal 2/45 binary64)) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (sin k) k)
#s(approx (sin k) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (sin k) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (sin k) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 k k) #s(literal 1/120 binary64)) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (cos k) #s(literal 1 binary64))
#s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (cos k) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 k k) #s(literal 1/24 binary64)) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) #s(literal -7/60 binary64) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) t) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (pow k 4)) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))))
#s(approx (pow k 4) (pow.f64 k #s(literal 4 binary64)))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l)))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) (*.f64 (fma.f64 (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) l) (/.f64 t l) (*.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 t (*.f64 l l))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) (*.f64 k k))) (*.f64 #s(literal -1/2 binary64) (/.f64 t (*.f64 l l)))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) l) (/.f64 t l) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2/45 binary64) l) (/.f64 t l) (*.f64 (-.f64 (*.f64 #s(literal -1/315 binary64) (/.f64 t (*.f64 l l))) (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 t (*.f64 l l))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/720 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64)))))) (*.f64 k k))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) (*.f64 k k))) (*.f64 #s(literal -1/2 binary64) (/.f64 t (*.f64 l l)))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t))
#s(approx (/ (* (* k k) t) (cos k)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 k k)))
#s(approx (/ (* (* k k) t) (cos k)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 k k)) (*.f64 t #s(literal -5/24 binary64)) (*.f64 #s(literal 1/2 binary64) t)) (*.f64 k k) t) (*.f64 k k)))
#s(approx (/ (* (* k k) t) (cos k)) (*.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) t (fma.f64 #s(literal 1/48 binary64) t (*.f64 (*.f64 t #s(literal -5/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 k k))) (*.f64 t #s(literal -5/24 binary64))) (*.f64 k k) (*.f64 #s(literal 1/2 binary64) t)) (*.f64 k k) t) (*.f64 k k)))
#s(approx (* k k) (*.f64 k k))
#s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l)))
#s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 l l)) (*.f64 k k) (pow.f64 l #s(literal -2 binary64))) (*.f64 k k)))
#s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 k k) #s(literal 2/45 binary64)) (*.f64 l l)) (*.f64 k k) (*.f64 #s(literal -1/3 binary64) (pow.f64 l #s(literal -2 binary64)))) (*.f64 k k) (pow.f64 l #s(literal -2 binary64))) (*.f64 k k)))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l)))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) (*.f64 (fma.f64 (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) l) (/.f64 t l) (*.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 t (*.f64 l l))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) (*.f64 k k))) (*.f64 #s(literal -1/2 binary64) (/.f64 t (*.f64 l l)))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) l) (/.f64 t l) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2/45 binary64) l) (/.f64 t l) (*.f64 (-.f64 (*.f64 #s(literal -1/315 binary64) (/.f64 t (*.f64 l l))) (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 t (*.f64 l l))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/720 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64)))))) (*.f64 k k))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) (*.f64 k k))) (*.f64 #s(literal -1/2 binary64) (/.f64 t (*.f64 l l)))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l)))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 k k) #s(literal -1/3 binary64)) t t) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 k k)) t (*.f64 #s(literal -1/3 binary64) t)) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (*.f64 k k)))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) l) (/.f64 t l) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/315 binary64) (*.f64 k k)) t (*.f64 #s(literal 2/45 binary64) t)) (*.f64 l l)) (*.f64 k k))) (*.f64 k k) (/.f64 t (*.f64 l l))) (*.f64 k k)))
#s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 k k) t))
#s(approx (* (pow (sin k) 2) t) (*.f64 (fma.f64 (*.f64 (*.f64 k k) #s(literal -1/3 binary64)) t t) (*.f64 k k)))
#s(approx (* (pow (sin k) 2) t) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 k k)) t (*.f64 #s(literal -1/3 binary64) t)) (*.f64 k k) t) (*.f64 k k)))
#s(approx (* (pow (sin k) 2) t) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/315 binary64) (*.f64 k k)) t (*.f64 #s(literal 2/45 binary64) t)) (*.f64 k k) (*.f64 #s(literal -1/3 binary64) t)) (*.f64 k k) t) (*.f64 k k)))
#s(approx (/ (* k k) (cos k)) (*.f64 k k))
#s(approx (/ (* k k) (cos k)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (/ (* k k) (cos k)) (*.f64 (fma.f64 (fma.f64 #s(literal 5/24 binary64) (*.f64 k k) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (/ (* k k) (cos k)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 61/720 binary64) (*.f64 k k) #s(literal 5/24 binary64)) (*.f64 k k) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (/ (pow (sin k) 2) (cos k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
#s(approx (pow (sin k) 2) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
#s(approx (sin k) (sin.f64 k))
#s(approx (cos k) (cos.f64 k))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (fma.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal -1/3 binary64) (*.f64 k t)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (fma.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal -1/3 binary64) (*.f64 k t)) (fma.f64 (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) t) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64)))))
#s(approx (/ (* k k) (cos k)) (*.f64 k (/.f64 k (cos.f64 k))))

eval69.0ms (0.8%)

Memory
-8.0MiB live, 135.9MiB allocated; 20ms collecting garbage
Compiler

Compiled 28 025 to 2 438 computations (91.3% saved)

prune77.0ms (0.9%)

Memory
-40.9MiB live, 159.1MiB allocated; 20ms collecting garbage
Pruning

40 alts after pruning (39 fresh and 1 done)

PrunedKeptTotal
New53626562
Fresh131326
Picked415
Done000
Total55340593
Accuracy
98.0%
Counts
593 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.9%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
91.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 k (/.f64 (*.f64 k t) l))) (*.f64 (cos.f64 k) l))))
86.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
88.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l) (*.f64 k k)) (*.f64 l (cos.f64 k)))))
68.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
74.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l) #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)))))
69.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) #s(approx (/ (* k k) (cos k)) (*.f64 k k)))))
92.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (/.f64 k l) (*.f64 k t)) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
69.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k)))))
69.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
81.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
75.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))))
85.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (/.f64 t l)) (/.f64 (*.f64 k k) (cos.f64 k)))))
76.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
83.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (cos.f64 k)))))
73.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k))))))
74.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
94.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
73.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) (cos.f64 k)))))
61.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
69.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
74.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (sin.f64 k) l)))))
73.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
70.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 k (*.f64 k t))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
34.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
35.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
51.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
66.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l l)) t))
72.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (/.f64 l k) (/.f64 l k))) t))
69.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) l) t))
66.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 #s(literal 1 binary64) (*.f64 k k))) (*.f64 l l)) t))
66.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
67.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
65.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
78.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
68.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
21.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
22.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal -2 binary64))) t))))
21.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
19.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
Compiler

Compiled 3 817 to 2 517 computations (34.1% saved)

series106.0ms (1.2%)

Memory
12.7MiB live, 203.1MiB allocated; 16ms collecting garbage
Counts
47 → 110
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))
(*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
(*.f64 (/.f64 k l) (*.f64 k (/.f64 t l)))
(/.f64 k l)
k
l
(*.f64 k (/.f64 t l))
(/.f64 t l)
t
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
(cos.f64 k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t))))
(*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))
#s(literal -7/60 binary64)
(*.f64 l (/.f64 l t))
(/.f64 l t)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (/.f64 l k) (/.f64 l k))) t))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (/.f64 l k) (/.f64 l k))) t)
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (/.f64 l k) (/.f64 l k)))
(/.f64 #s(literal 2 binary64) (*.f64 k k))
(*.f64 k k)
(*.f64 (/.f64 l k) (/.f64 l k))
(/.f64 l k)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) (cos.f64 k)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) (cos.f64 k))))
(*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) (cos.f64 k)))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l)))
(*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))
(/.f64 (*.f64 k k) l)
(/.f64 (*.f64 k k) (cos.f64 k))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l))))
(*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))
(/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k))
(*.f64 (*.f64 k k) t)
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))
(cos.f64 (*.f64 #s(literal 2 binary64) k))
(*.f64 #s(literal 2 binary64) k)
(*.f64 l l)
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (* (/ k l) (* k (/ t l))) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (/ k l) (* k (/ t l))) #s(hole binary64 (/ (* (pow k 2) t) (pow l 2))))
#s(approx (* k (/ t l)) #s(hole binary64 (/ (* k t) l)))
#s(approx (/ t l) #s(hole binary64 (/ t l)))
#s(approx t #s(hole binary64 t))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1/3 (pow l 2)) (* -7/60 (* (pow k 2) (pow l 2)))))) (* (pow k 4) t))))
#s(approx (* -7/60 (* l (/ l t))) #s(hole binary64 (* -7/60 (/ (pow l 2) t))))
#s(approx (* l (/ l t)) #s(hole binary64 (/ (pow l 2) t)))
#s(approx (/ l t) #s(hole binary64 (/ l t)))
#s(approx (/ (* (/ 2 (* k k)) (* (/ l k) (/ l k))) t) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) #s(hole binary64 (/ (* t (pow (sin k) 2)) (pow l 2))))
#s(approx (* (/ (* k k) l) (/ t l)) #s(hole binary64 (/ (* (pow k 2) t) (pow l 2))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (/ (* (pow k 2) t) (cos k))))
#s(approx (* (* k k) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* -1 (/ (+ (* -2 (pow l 2)) (* (pow k 2) (+ (* 7/60 (* (pow k 2) (pow l 2))) (* 1/3 (pow l 2))))) (* (pow k 4) t)))))
#s(approx (/ k l) #s(hole binary64 (/ k l)))
#s(approx l #s(hole binary64 l))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (* (pow l 2) (+ (* (pow k 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t)))) (pow k 4))))
#s(approx (* (/ 2 (* k k)) (* (/ l k) (/ l k))) #s(hole binary64 (* 2 (/ (pow l 2) (pow k 4)))))
#s(approx (* (/ l k) (/ l k)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (/ l k) #s(hole binary64 (/ l k)))
#s(approx (/ (* k k) l) #s(hole binary64 (/ (pow k 2) l)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (pow l 2))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (* (/ k l) (* k (/ t l))) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (/ k l) (* k (/ t l))) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (/ k l) (* k (/ t l))) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (/ k l) (* k (/ t l))) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx k #s(hole binary64 k))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (pow k 2)))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* 1/6 (pow k 2))))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* 31/360 (pow k 2))))))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* (pow k 2) (+ 31/360 (* 173/5040 (pow k 2))))))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow k 2)))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))))
#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
#s(approx (cos k) #s(hole binary64 1))
#s(approx (cos k) #s(hole binary64 (+ 1 (* -1/2 (pow k 2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* -7/60 (/ (* (pow k 2) (pow l 2)) t))))) (pow k 4))))
#s(approx (/ 2 (* k k)) #s(hole binary64 (/ 2 (pow k 2))))
#s(approx (* k k) #s(hole binary64 (pow k 2)))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) #s(hole binary64 (/ (* (pow k 2) t) (pow l 2))))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* -1/3 (/ t (pow l 2))) (* 2/45 (/ (* (pow k 2) t) (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (+ (* -1/315 (/ (* (pow k 2) t) (pow l 2))) (* 2/45 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (/ (* k k) (cos k)) #s(hole binary64 (pow k 2)))
#s(approx (/ (* k k) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* 1/2 (pow k 2))))))
#s(approx (/ (* k k) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/2 (* 5/24 (pow k 2))))))))
#s(approx (/ (* k k) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/2 (* (pow k 2) (+ 5/24 (* 61/720 (pow k 2))))))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* 1/2 (* (pow k 2) t))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/720 t) (+ (* 1/48 t) (* 1/2 (+ (* -1/4 t) (* 1/24 t))))))) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) #s(hole binary64 (/ (pow k 2) (pow l 2))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (pow k 2) (pow l 2))) (/ 1 (pow l 2))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* 2/45 (/ (pow k 2) (pow l 2))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* (pow k 2) (+ (* -1/315 (/ (pow k 2) (pow l 2))) (* 2/45 (/ 1 (pow l 2))))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (pow k 2)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (+ 1/2 (* -1 (pow k 2)))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (+ 1/2 (* (pow k 2) (- (* 1/3 (pow k 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (+ 1/2 (* (pow k 2) (- (* (pow k 2) (+ 1/3 (* -2/45 (pow k 2)))) 1)))))
#s(approx (cos (* 2 k)) #s(hole binary64 1))
#s(approx (cos (* 2 k)) #s(hole binary64 (+ 1 (* -2 (pow k 2)))))
#s(approx (cos (* 2 k)) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 2/3 (pow k 2)) 2)))))
#s(approx (cos (* 2 k)) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/3 (* -4/45 (pow k 2)))) 2)))))
#s(approx (* 2 k) #s(hole binary64 (* 2 k)))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (/ (pow (sin k) 2) (cos k))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow (sin k) 2)))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (cos k) #s(hole binary64 (cos k)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* -7/60 (/ (pow l 2) t))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (* -7/60 (/ (pow l 2) t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (+ (* -7/60 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 4) t)))))))
#s(approx (/ (* k k) (cos k)) #s(hole binary64 (/ (pow k 2) (cos k))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 k))))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (* 1/2 (cos (* 2 k)))))
#s(approx (cos (* 2 k)) #s(hole binary64 (cos (* 2 k))))
Calls

9 calls:

TimeVariablePointExpression
24.0ms
t
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ k l) (* k (/ t l))) (/ (pow (sin k) 2) (cos k))) (* (/ k l) (* k (/ t l))) (/ k l) k l (* k (/ t l)) (/ t l) t (/ (pow (sin k) 2) (cos k)) (pow (sin k) 2) (sin k) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (* -7/60 (* l (/ l t))) -7/60 (* l (/ l t)) (/ l t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (/ 2 (* k k)) (* (/ l k) (/ l k))) t) (* (/ 2 (* k k)) (* (/ l k) (/ l k))) (/ 2 (* k k)) (* k k) (* (/ l k) (/ l k)) (/ l k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) (/ (* (pow (sin k) 2) t) (* l l)) (* (/ (* k k) l) (/ t l)) (/ (* k k) l) (/ (* k k) (cos k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k) (* l l))
12.0ms
k
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ k l) (* k (/ t l))) (/ (pow (sin k) 2) (cos k))) (* (/ k l) (* k (/ t l))) (/ k l) k l (* k (/ t l)) (/ t l) t (/ (pow (sin k) 2) (cos k)) (pow (sin k) 2) (sin k) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (* -7/60 (* l (/ l t))) -7/60 (* l (/ l t)) (/ l t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (/ 2 (* k k)) (* (/ l k) (/ l k))) t) (* (/ 2 (* k k)) (* (/ l k) (/ l k))) (/ 2 (* k k)) (* k k) (* (/ l k) (/ l k)) (/ l k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) (/ (* (pow (sin k) 2) t) (* l l)) (* (/ (* k k) l) (/ t l)) (/ (* k k) l) (/ (* k k) (cos k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k) (* l l))
12.0ms
l
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ k l) (* k (/ t l))) (/ (pow (sin k) 2) (cos k))) (* (/ k l) (* k (/ t l))) (/ k l) k l (* k (/ t l)) (/ t l) t (/ (pow (sin k) 2) (cos k)) (pow (sin k) 2) (sin k) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (* -7/60 (* l (/ l t))) -7/60 (* l (/ l t)) (/ l t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (/ 2 (* k k)) (* (/ l k) (/ l k))) t) (* (/ 2 (* k k)) (* (/ l k) (/ l k))) (/ 2 (* k k)) (* k k) (* (/ l k) (/ l k)) (/ l k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) (/ (* (pow (sin k) 2) t) (* l l)) (* (/ (* k k) l) (/ t l)) (/ (* k k) l) (/ (* k k) (cos k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k) (* l l))
11.0ms
l
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ k l) (* k (/ t l))) (/ (pow (sin k) 2) (cos k))) (* (/ k l) (* k (/ t l))) (/ k l) k l (* k (/ t l)) (/ t l) t (/ (pow (sin k) 2) (cos k)) (pow (sin k) 2) (sin k) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (* -7/60 (* l (/ l t))) -7/60 (* l (/ l t)) (/ l t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (/ 2 (* k k)) (* (/ l k) (/ l k))) t) (* (/ 2 (* k k)) (* (/ l k) (/ l k))) (/ 2 (* k k)) (* k k) (* (/ l k) (/ l k)) (/ l k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) (/ (* (pow (sin k) 2) t) (* l l)) (* (/ (* k k) l) (/ t l)) (/ (* k k) l) (/ (* k k) (cos k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k) (* l l))
10.0ms
t
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ k l) (* k (/ t l))) (/ (pow (sin k) 2) (cos k))) (* (/ k l) (* k (/ t l))) (/ k l) k l (* k (/ t l)) (/ t l) t (/ (pow (sin k) 2) (cos k)) (pow (sin k) 2) (sin k) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (* -7/60 (* l (/ l t))) -7/60 (* l (/ l t)) (/ l t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (/ 2 (* k k)) (* (/ l k) (/ l k))) t) (* (/ 2 (* k k)) (* (/ l k) (/ l k))) (/ 2 (* k k)) (* k k) (* (/ l k) (/ l k)) (/ l k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) (/ (* (pow (sin k) 2) t) (* l l)) (* (/ (* k k) l) (/ t l)) (/ (* k k) l) (/ (* k k) (cos k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k) (* l l))

rewrite208.0ms (2.3%)

Memory
48.4MiB live, 268.3MiB allocated; 54ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05434281
06063973
130253919
082133787
Stop Event
iter limit
node limit
iter limit
Counts
157 → 599
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))
(*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
(*.f64 (/.f64 k l) (*.f64 k (/.f64 t l)))
(/.f64 k l)
k
l
(*.f64 k (/.f64 t l))
(/.f64 t l)
t
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
(cos.f64 k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t))))
(*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))
#s(literal -7/60 binary64)
(*.f64 l (/.f64 l t))
(/.f64 l t)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (/.f64 l k) (/.f64 l k))) t))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (/.f64 l k) (/.f64 l k))) t)
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (/.f64 l k) (/.f64 l k)))
(/.f64 #s(literal 2 binary64) (*.f64 k k))
(*.f64 k k)
(*.f64 (/.f64 l k) (/.f64 l k))
(/.f64 l k)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) (cos.f64 k)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) (cos.f64 k))))
(*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) (cos.f64 k)))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l)))
(*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))
(/.f64 (*.f64 k k) l)
(/.f64 (*.f64 k k) (cos.f64 k))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l))))
(*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))
(/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k))
(*.f64 (*.f64 k k) t)
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))
(cos.f64 (*.f64 #s(literal 2 binary64) k))
(*.f64 #s(literal 2 binary64) k)
(*.f64 l l)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (* (/ k l) (* k (/ t l))) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (/ k l) (* k (/ t l))) #s(hole binary64 (/ (* (pow k 2) t) (pow l 2))))
#s(approx (* k (/ t l)) #s(hole binary64 (/ (* k t) l)))
#s(approx (/ t l) #s(hole binary64 (/ t l)))
#s(approx t #s(hole binary64 t))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1/3 (pow l 2)) (* -7/60 (* (pow k 2) (pow l 2)))))) (* (pow k 4) t))))
#s(approx (* -7/60 (* l (/ l t))) #s(hole binary64 (* -7/60 (/ (pow l 2) t))))
#s(approx (* l (/ l t)) #s(hole binary64 (/ (pow l 2) t)))
#s(approx (/ l t) #s(hole binary64 (/ l t)))
#s(approx (/ (* (/ 2 (* k k)) (* (/ l k) (/ l k))) t) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) #s(hole binary64 (/ (* t (pow (sin k) 2)) (pow l 2))))
#s(approx (* (/ (* k k) l) (/ t l)) #s(hole binary64 (/ (* (pow k 2) t) (pow l 2))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (/ (* (pow k 2) t) (cos k))))
#s(approx (* (* k k) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* -1 (/ (+ (* -2 (pow l 2)) (* (pow k 2) (+ (* 7/60 (* (pow k 2) (pow l 2))) (* 1/3 (pow l 2))))) (* (pow k 4) t)))))
#s(approx (/ k l) #s(hole binary64 (/ k l)))
#s(approx l #s(hole binary64 l))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (* (pow l 2) (+ (* (pow k 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t)))) (pow k 4))))
#s(approx (* (/ 2 (* k k)) (* (/ l k) (/ l k))) #s(hole binary64 (* 2 (/ (pow l 2) (pow k 4)))))
#s(approx (* (/ l k) (/ l k)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (/ l k) #s(hole binary64 (/ l k)))
#s(approx (/ (* k k) l) #s(hole binary64 (/ (pow k 2) l)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (pow l 2))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (* (/ k l) (* k (/ t l))) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (/ k l) (* k (/ t l))) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (/ k l) (* k (/ t l))) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (/ k l) (* k (/ t l))) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx k #s(hole binary64 k))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (pow k 2)))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* 1/6 (pow k 2))))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* 31/360 (pow k 2))))))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* (pow k 2) (+ 31/360 (* 173/5040 (pow k 2))))))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow k 2)))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))))
#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
#s(approx (cos k) #s(hole binary64 1))
#s(approx (cos k) #s(hole binary64 (+ 1 (* -1/2 (pow k 2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* -7/60 (/ (* (pow k 2) (pow l 2)) t))))) (pow k 4))))
#s(approx (/ 2 (* k k)) #s(hole binary64 (/ 2 (pow k 2))))
#s(approx (* k k) #s(hole binary64 (pow k 2)))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (pow (sin k) 2) t) (* l l)) (/ (* k k) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) #s(hole binary64 (/ (* (pow k 2) t) (pow l 2))))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* -1/3 (/ t (pow l 2))) (* 2/45 (/ (* (pow k 2) t) (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (+ (* -1/315 (/ (* (pow k 2) t) (pow l 2))) (* 2/45 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (/ (* k k) (cos k)) #s(hole binary64 (pow k 2)))
#s(approx (/ (* k k) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* 1/2 (pow k 2))))))
#s(approx (/ (* k k) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/2 (* 5/24 (pow k 2))))))))
#s(approx (/ (* k k) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/2 (* (pow k 2) (+ 5/24 (* 61/720 (pow k 2))))))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* 1/2 (* (pow k 2) t))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/720 t) (+ (* 1/48 t) (* 1/2 (+ (* -1/4 t) (* 1/24 t))))))) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) #s(hole binary64 (/ (pow k 2) (pow l 2))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (pow k 2) (pow l 2))) (/ 1 (pow l 2))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* 2/45 (/ (pow k 2) (pow l 2))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* (pow k 2) (+ (* -1/315 (/ (pow k 2) (pow l 2))) (* 2/45 (/ 1 (pow l 2))))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (pow k 2)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (+ 1/2 (* -1 (pow k 2)))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (+ 1/2 (* (pow k 2) (- (* 1/3 (pow k 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (+ 1/2 (* (pow k 2) (- (* (pow k 2) (+ 1/3 (* -2/45 (pow k 2)))) 1)))))
#s(approx (cos (* 2 k)) #s(hole binary64 1))
#s(approx (cos (* 2 k)) #s(hole binary64 (+ 1 (* -2 (pow k 2)))))
#s(approx (cos (* 2 k)) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 2/3 (pow k 2)) 2)))))
#s(approx (cos (* 2 k)) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/3 (* -4/45 (pow k 2)))) 2)))))
#s(approx (* 2 k) #s(hole binary64 (* 2 k)))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (/ (pow (sin k) 2) (cos k))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow (sin k) 2)))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (cos k) #s(hole binary64 (cos k)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* -7/60 (/ (pow l 2) t))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (* -7/60 (/ (pow l 2) t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (+ (* -7/60 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 4) t)))))))
#s(approx (/ (* k k) (cos k)) #s(hole binary64 (/ (pow k 2) (cos k))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 k))))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (* 1/2 (cos (* 2 k)))))
#s(approx (cos (* 2 k)) #s(hole binary64 (cos (* 2 k))))
Outputs
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l))))
(*.f64 (/.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (neg.f64 l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (neg.f64 l)))
(*.f64 (/.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (fabs.f64 l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (fabs.f64 l)))
(*.f64 (/.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (neg.f64 l)) (/.f64 (*.f64 k (/.f64 k (cos.f64 k))) (neg.f64 l)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (fabs.f64 l)) (/.f64 (*.f64 k (/.f64 k (cos.f64 k))) (fabs.f64 l)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l) (/.f64 (*.f64 k (/.f64 k (cos.f64 k))) l))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l)))
(*.f64 (*.f64 (/.f64 k l) (/.f64 k l)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l) (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))))
(*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l))
(*.f64 (*.f64 k (/.f64 k (cos.f64 k))) (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (/.f64 t l)))
(*.f64 (*.f64 (*.f64 (/.f64 k l) k) (/.f64 t l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
(*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 (/.f64 k l) k) (/.f64 t l)))
(*.f64 (/.f64 k l) (*.f64 (*.f64 (/.f64 t l) k) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))
(*.f64 (*.f64 k k) (*.f64 (/.f64 t (cos.f64 k)) (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l)))
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#s(approx (* l (/ l t)) (*.f64 (/.f64 l t) l))
#s(approx (/ l t) (/.f64 l t))
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#s(approx (* (* k k) t) (*.f64 (*.f64 k k) t))
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#s(approx (/ k l) (/.f64 k l))
#s(approx l l)
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#s(approx (* (/ l k) (/ l k)) (pow.f64 (/.f64 l k) #s(literal 2 binary64)))
#s(approx (/ l k) (/.f64 l k))
#s(approx (/ (* k k) l) (*.f64 k (/.f64 k l)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l))
#s(approx (* l l) (*.f64 l l))
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#s(approx k k)
#s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k))
#s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 (fma.f64 #s(literal 31/360 binary64) (*.f64 k k) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64)) (*.f64 k k) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (pow (sin k) 2) (*.f64 k k))
#s(approx (pow (sin k) 2) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (pow (sin k) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (pow (sin k) 2) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 k k) #s(literal 2/45 binary64)) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (sin k) k)
#s(approx (sin k) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (sin k) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (sin k) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 k k) #s(literal 1/120 binary64)) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (cos k) #s(literal 1 binary64))
#s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (cos k) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 k k) #s(literal 1/24 binary64)) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 (/.f64 l t) l)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
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#s(approx (/ 2 (* k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k)))
#s(approx (* k k) (*.f64 k k))
#s(approx (* (* (/ k l) (* k (/ t l))) (/ (pow (sin k) 2) (cos k))) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l)))
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#s(approx (* (* (/ k l) (* k (/ t l))) (/ (pow (sin k) 2) (cos k))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) l) (/.f64 t l) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2/45 binary64) l) (/.f64 t l) (*.f64 (-.f64 (*.f64 #s(literal -1/315 binary64) (/.f64 t (*.f64 l l))) (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 t (*.f64 l l))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/720 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64)))))) (*.f64 k k))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) (*.f64 k k))) (*.f64 #s(literal -1/2 binary64) (/.f64 t (*.f64 l l)))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (*.f64 (/.f64 k l) k) (/.f64 t l)))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 k k) t) (*.f64 #s(literal -1/3 binary64) t)) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (*.f64 k k)))
#s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) l) (/.f64 t l) (*.f64 (/.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 (*.f64 k k) t) (*.f64 #s(literal 2/45 binary64) t)) (*.f64 l l)) (*.f64 k k))) (*.f64 k k) (/.f64 t (*.f64 l l))) (*.f64 k k)))
#s(approx (/ (* k k) (cos k)) (*.f64 k k))
#s(approx (/ (* k k) (cos k)) (*.f64 (fma.f64 (*.f64 k k) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (/ (* k k) (cos k)) (*.f64 (fma.f64 (fma.f64 #s(literal 5/24 binary64) (*.f64 k k) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (/ (* k k) (cos k)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 61/720 binary64) (*.f64 k k) #s(literal 5/24 binary64)) (*.f64 k k) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (* (* (/ k l) (* k (/ t l))) (/ (pow (sin k) 2) (cos k))) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l)))
#s(approx (* (* (/ k l) (* k (/ t l))) (/ (pow (sin k) 2) (cos k))) (*.f64 (fma.f64 (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (/ k l) (* k (/ t l))) (/ (pow (sin k) 2) (cos k))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) l) (/.f64 t l) (*.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 t (*.f64 l l))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) (*.f64 k k))) (*.f64 #s(literal -1/2 binary64) (/.f64 t (*.f64 l l)))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
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#s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t))
#s(approx (/ (* (* k k) t) (cos k)) (*.f64 (fma.f64 (*.f64 (*.f64 k k) #s(literal 1/2 binary64)) t t) (*.f64 k k)))
#s(approx (/ (* (* k k) t) (cos k)) (*.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 k k)) (*.f64 t #s(literal -5/24 binary64)) (*.f64 #s(literal 1/2 binary64) t)) (*.f64 k k) t) (*.f64 k k)))
#s(approx (/ (* (* k k) t) (cos k)) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (*.f64 k k)) (fma.f64 #s(literal -1/720 binary64) t (fma.f64 #s(literal 1/48 binary64) t (*.f64 (*.f64 t #s(literal -5/24 binary64)) #s(literal 1/2 binary64))))) (*.f64 t #s(literal -5/24 binary64))) (*.f64 k k) (*.f64 #s(literal 1/2 binary64) t)) (*.f64 k k) t) (*.f64 k k)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) (*.f64 (/.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 l l)) (*.f64 k k) (pow.f64 l #s(literal -2 binary64))) (*.f64 k k)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 k k) #s(literal 2/45 binary64)) (*.f64 l l)) (*.f64 k k) (*.f64 #s(literal -1/3 binary64) (pow.f64 l #s(literal -2 binary64)))) (*.f64 k k) (pow.f64 l #s(literal -2 binary64))) (*.f64 k k)))
#s(approx (pow (sin k) 2) (*.f64 k k))
#s(approx (pow (sin k) 2) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (pow (sin k) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (pow (sin k) 2) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 k k) #s(literal 2/45 binary64)) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 k))) (fma.f64 #s(literal -1 binary64) (*.f64 k k) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 k))) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 k k)) #s(literal 1 binary64)) (*.f64 k k) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 k))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 k k) #s(literal 1/3 binary64)) (*.f64 k k)) #s(literal 1 binary64)) (*.f64 k k) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 k)) #s(literal 1 binary64))
#s(approx (cos (* 2 k)) (fma.f64 (*.f64 k k) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (cos (* 2 k)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 k k)) #s(literal 2 binary64)) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (cos (* 2 k)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 k k) #s(literal 2/3 binary64)) (*.f64 k k)) #s(literal 2 binary64)) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (* 2 k) (*.f64 k #s(literal 2 binary64)))
#s(approx (/ (pow (sin k) 2) (cos k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
#s(approx (pow (sin k) 2) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
#s(approx (sin k) (sin.f64 k))
#s(approx (cos k) (cos.f64 k))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 (/.f64 l t) l) #s(literal -7/60 binary64)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (fma.f64 (/.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) t) #s(literal -1/3 binary64) (*.f64 (*.f64 (/.f64 l t) l) #s(literal -7/60 binary64))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (fma.f64 (/.f64 #s(literal -1/3 binary64) t) (pow.f64 (/.f64 l k) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 (/.f64 l t) l) (*.f64 (*.f64 (/.f64 l t) l) #s(literal -7/60 binary64)))))
#s(approx (/ (* k k) (cos k)) (*.f64 k (/.f64 k (cos.f64 k))))
#s(approx (pow (sin k) 2) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos (* 2 k))) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 k)) (cos.f64 (*.f64 k #s(literal 2 binary64))))

eval84.0ms (0.9%)

Memory
-21.2MiB live, 123.1MiB allocated; 34ms collecting garbage
Compiler

Compiled 30 563 to 2 821 computations (90.8% saved)

prune116.0ms (1.3%)

Memory
-0.4MiB live, 192.4MiB allocated; 45ms collecting garbage
Pruning

49 alts after pruning (45 fresh and 4 done)

PrunedKeptTotal
New58725612
Fresh142034
Picked235
Done011
Total60349652
Accuracy
99.9%
Counts
652 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.9%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
91.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 k (/.f64 (*.f64 k t) l))) (*.f64 (cos.f64 k) l))))
89.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 k (*.f64 (/.f64 t l) k))) (*.f64 (cos.f64 k) l))))
91.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) k) (/.f64 t l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (cos.f64 k))))
74.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l) #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)))))
69.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) #s(approx (/ (* k k) (cos k)) (*.f64 k k)))))
69.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k)))))
30.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (*.f64 (*.f64 l l) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (*.f64 l l) (*.f64 l l))))))
69.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 l l)))))
57.8%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l l)) (*.f64 (/.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) l) (/.f64 #s(literal 1/2 binary64) l))))))
81.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
72.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
75.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))))
76.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
83.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (cos.f64 k)))))
74.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
94.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
74.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
84.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) (cos.f64 k)))))
71.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k))))))
69.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
53.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) #s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))))))
59.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))))))
72.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) #s(approx (/ (* k k) (cos k)) (*.f64 k k)))))
61.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
69.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
74.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (sin.f64 k) l)))))
73.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
70.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 k (*.f64 k t))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
35.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
67.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 k k))) t))
69.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 l k) l) #s(literal 2 binary64)) (*.f64 k (*.f64 k k))) t))
72.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) k) k) (*.f64 (/.f64 l k) (/.f64 l k))) t))
72.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (/.f64 l k) (/.f64 l k))) t))
72.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (exp.f64 (*.f64 (log.f64 (/.f64 l k)) #s(literal 2 binary64)))) t))
75.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t)))
74.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) k)) t))
69.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 (*.f64 k k) t))))
73.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 l k)) (/.f64 l k)) t))
72.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 #s(literal 1 binary64) k)) (*.f64 (/.f64 l k) (/.f64 l k))) t))
67.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
67.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
65.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
78.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
90.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) #s(literal 2 binary64)))
21.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
19.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
21.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
19.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
Compiler

Compiled 6 918 to 2 132 computations (69.2% saved)

regimes144.0ms (1.6%)

Memory
17.9MiB live, 254.1MiB allocated; 22ms collecting garbage
Counts
99 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
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(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (neg.f64 (*.f64 k k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (neg.f64 (*.f64 l l)) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l) (*.f64 k k)) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 k (*.f64 (/.f64 t l) k))) (*.f64 (cos.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 k (/.f64 (*.f64 k t) l))) (*.f64 (cos.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (/.f64 t (cos.f64 k)) (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (/.f64 t l)) (/.f64 (*.f64 k k) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (/.f64 k l) (*.f64 k t)) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) k) (/.f64 t l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l) (/.f64 (*.f64 k k) l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (sin.f64 k) l)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)) (*.f64 (tan.f64 k) (-.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
Calls

6 calls:

27.0ms
k
25.0ms
t
25.0ms
l
22.0ms
(*.f64 l l)
21.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
98.0%2(*.f64 l l)
94.5%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
94.5%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
96.8%2t
98.0%2l
98.8%2k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes67.0ms (0.7%)

Memory
-26.4MiB live, 116.5MiB allocated; 12ms collecting garbage
Counts
80 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l l)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 l k) l) #s(literal 2 binary64)) (*.f64 k (*.f64 k k))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 k k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) #s(approx (/ (* k k) (cos k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 #s(literal 1 binary64) (*.f64 k k))) (*.f64 l l)) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 l k)) (/.f64 l k)) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (/.f64 l k) (/.f64 l k))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) k) k) (*.f64 (/.f64 l k) (/.f64 l k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 #s(literal 1 binary64) k)) (*.f64 (/.f64 l k) (/.f64 l k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) #s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal -2 binary64))) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) l) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l l)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) k)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) l) (/.f64 t l) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 k (*.f64 k t))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) #s(approx (/ (* k k) (cos k)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (exp.f64 (*.f64 (log.f64 (/.f64 l k)) #s(literal 2 binary64)))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l) #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (sin.f64 k) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l l)) (*.f64 (/.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) l) (/.f64 #s(literal 1/2 binary64) l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (*.f64 (*.f64 l l) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (*.f64 l l) (*.f64 l l))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 (cos.f64 k) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (neg.f64 (*.f64 k k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (neg.f64 (*.f64 l l)) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l) (*.f64 k k)) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 k (*.f64 (/.f64 t l) k))) (*.f64 (cos.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 k (/.f64 (*.f64 k t) l))) (*.f64 (cos.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (/.f64 t (cos.f64 k)) (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l)))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) (cos.f64 k)))))
Calls

3 calls:

22.0ms
l
21.0ms
k
20.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
98.2%3(*.f64 l l)
98.2%3l
97.9%2k
Compiler

Compiled 5 to 10 computations (-100% saved)

regimes92.0ms (1%)

Memory
25.5MiB live, 164.5MiB allocated; 9ms collecting garbage
Counts
63 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l l)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 l k) l) #s(literal 2 binary64)) (*.f64 k (*.f64 k k))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 k k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) #s(approx (/ (* k k) (cos k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 #s(literal 1 binary64) (*.f64 k k))) (*.f64 l l)) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 l k)) (/.f64 l k)) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (/.f64 l k) (/.f64 l k))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) k) k) (*.f64 (/.f64 l k) (/.f64 l k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 #s(literal 1 binary64) k)) (*.f64 (/.f64 l k) (/.f64 l k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) #s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal -2 binary64))) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) l) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l l)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) k)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) l) (/.f64 t l) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 k (*.f64 k t))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) #s(approx (/ (* k k) (cos k)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (exp.f64 (*.f64 (log.f64 (/.f64 l k)) #s(literal 2 binary64)))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l) #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (sin.f64 k) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
Calls

6 calls:

17.0ms
t
16.0ms
l
15.0ms
k
15.0ms
(*.f64 l l)
13.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
77.9%2(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
79.2%2(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
84.4%2(*.f64 l l)
84.4%2l
84.2%4t
87.7%2k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes21.0ms (0.2%)

Memory
-13.7MiB live, 36.4MiB allocated; 7ms collecting garbage
Counts
59 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l l)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 l k) l) #s(literal 2 binary64)) (*.f64 k (*.f64 k k))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 k k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) #s(approx (/ (* k k) (cos k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 #s(literal 1 binary64) (*.f64 k k))) (*.f64 l l)) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 l k)) (/.f64 l k)) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (/.f64 l k) (/.f64 l k))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) k) k) (*.f64 (/.f64 l k) (/.f64 l k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 #s(literal 1 binary64) k)) (*.f64 (/.f64 l k) (/.f64 l k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) #s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal -2 binary64))) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) l) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l l)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) k)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) l) (/.f64 t l) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 k (*.f64 k t))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) #s(approx (/ (* k k) (cos k)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (exp.f64 (*.f64 (log.f64 (/.f64 l k)) #s(literal 2 binary64)))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l) #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (sin.f64 k) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
Calls

1 calls:

18.0ms
k
Results
AccuracySegmentsBranch
84.7%2k
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes19.0ms (0.2%)

Memory
-12.1MiB live, 34.2MiB allocated; 3ms collecting garbage
Counts
58 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l l)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 l k) l) #s(literal 2 binary64)) (*.f64 k (*.f64 k k))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 k k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) #s(approx (/ (* k k) (cos k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 #s(literal 1 binary64) (*.f64 k k))) (*.f64 l l)) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 l k)) (/.f64 l k)) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (/.f64 l k) (/.f64 l k))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) k) k) (*.f64 (/.f64 l k) (/.f64 l k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 #s(literal 1 binary64) k)) (*.f64 (/.f64 l k) (/.f64 l k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) #s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal -2 binary64))) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) l) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l l)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) k)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) l) (/.f64 t l) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 k (*.f64 k t))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) #s(approx (/ (* k k) (cos k)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (exp.f64 (*.f64 (log.f64 (/.f64 l k)) #s(literal 2 binary64)))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l) #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (sin.f64 k) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 l l)))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 l l)))))
Calls

1 calls:

14.0ms
k
Results
AccuracySegmentsBranch
84.7%2k
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes71.0ms (0.8%)

Memory
37.7MiB live, 130.3MiB allocated; 5ms collecting garbage
Counts
57 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l l)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 l k) l) #s(literal 2 binary64)) (*.f64 k (*.f64 k k))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 k k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) #s(approx (/ (* k k) (cos k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 #s(literal 1 binary64) (*.f64 k k))) (*.f64 l l)) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 l k)) (/.f64 l k)) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (/.f64 l k) (/.f64 l k))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) k) k) (*.f64 (/.f64 l k) (/.f64 l k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 #s(literal 1 binary64) k)) (*.f64 (/.f64 l k) (/.f64 l k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) #s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal -2 binary64))) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) l) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l l)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) k)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) l) (/.f64 t l) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 k (*.f64 k t))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) #s(approx (/ (* k k) (cos k)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (exp.f64 (*.f64 (log.f64 (/.f64 l k)) #s(literal 2 binary64)))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l) #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (sin.f64 k) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
Calls

5 calls:

15.0ms
t
14.0ms
l
14.0ms
k
14.0ms
(*.f64 l l)
11.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
76.2%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
77.9%2t
78.5%2l
78.5%2(*.f64 l l)
78.8%2k
Compiler

Compiled 31 to 32 computations (-3.2% saved)

regimes54.0ms (0.6%)

Memory
-13.8MiB live, 82.8MiB allocated; 21ms collecting garbage
Counts
55 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l l)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 l k) l) #s(literal 2 binary64)) (*.f64 k (*.f64 k k))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 k k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) #s(approx (/ (* k k) (cos k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 #s(literal 1 binary64) (*.f64 k k))) (*.f64 l l)) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 l k)) (/.f64 l k)) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (/.f64 l k) (/.f64 l k))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) k) k) (*.f64 (/.f64 l k) (/.f64 l k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 #s(literal 1 binary64) k)) (*.f64 (/.f64 l k) (/.f64 l k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) #s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal -2 binary64))) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) l) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l l)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) k)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) l) (/.f64 t l) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 k (*.f64 k t))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) #s(approx (/ (* k k) (cos k)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (exp.f64 (*.f64 (log.f64 (/.f64 l k)) #s(literal 2 binary64)))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l) #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (sin.f64 k) l)))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
Calls

3 calls:

23.0ms
k
14.0ms
(*.f64 l l)
14.0ms
l
Results
AccuracySegmentsBranch
78.2%2(*.f64 l l)
78.2%2l
78.1%2k
Compiler

Compiled 5 to 10 computations (-100% saved)

regimes58.0ms (0.6%)

Memory
18.0MiB live, 110.8MiB allocated; 7ms collecting garbage
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l l)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 l k) l) #s(literal 2 binary64)) (*.f64 k (*.f64 k k))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 k k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) #s(approx (/ (* k k) (cos k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 #s(literal 1 binary64) (*.f64 k k))) (*.f64 l l)) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 l k)) (/.f64 l k)) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (/.f64 l k) (/.f64 l k))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) k) k) (*.f64 (/.f64 l k) (/.f64 l k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 #s(literal 1 binary64) k)) (*.f64 (/.f64 l k) (/.f64 l k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) #s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal -2 binary64))) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) l) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l l)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) k)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t)))
Calls

6 calls:

11.0ms
l
11.0ms
t
10.0ms
k
8.0ms
(*.f64 l l)
7.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
75.3%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
75.3%1t
75.3%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
75.3%1k
75.3%1l
75.3%1(*.f64 l l)
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes53.0ms (0.6%)

Memory
-1.0MiB live, 97.0MiB allocated; 8ms collecting garbage
Counts
34 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l l)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 l k) l) #s(literal 2 binary64)) (*.f64 k (*.f64 k k))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 k k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) #s(approx (/ (* k k) (cos k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 #s(literal 1 binary64) (*.f64 k k))) (*.f64 l l)) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 l k)) (/.f64 l k)) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (/.f64 l k) (/.f64 l k))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) k) k) (*.f64 (/.f64 l k) (/.f64 l k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 #s(literal 1 binary64) k)) (*.f64 (/.f64 l k) (/.f64 l k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) (/.f64 (*.f64 k k) #s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal -2 binary64))) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) l) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l l)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 l l) t)))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
Calls

6 calls:

11.0ms
l
9.0ms
t
9.0ms
k
8.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
8.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
74.0%1(*.f64 l l)
74.0%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
74.0%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
74.0%1t
74.0%1k
74.0%1l
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes26.0ms (0.3%)

Memory
3.5MiB live, 50.1MiB allocated; 3ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l l)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 l k) l) #s(literal 2 binary64)) (*.f64 k (*.f64 k k))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 k k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) #s(approx (/ (* k k) (cos k)) (*.f64 k k)))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) #s(approx (/ (* k k) (cos k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
Calls

6 calls:

6.0ms
l
4.0ms
t
4.0ms
k
4.0ms
(*.f64 l l)
3.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
73.0%1(*.f64 l l)
75.2%2t
73.0%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
73.0%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
73.0%1l
73.0%1k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes11.0ms (0.1%)

Memory
-25.4MiB live, 21.1MiB allocated; 4ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l l)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 l k) l) #s(literal 2 binary64)) (*.f64 k (*.f64 k k))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 k k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
Calls

2 calls:

6.0ms
t
4.0ms
k
Results
AccuracySegmentsBranch
73.0%1k
73.0%1t
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes24.0ms (0.3%)

Memory
-7.1MiB live, 43.1MiB allocated; 5ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l l)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 l k) l) #s(literal 2 binary64)) (*.f64 k (*.f64 k k))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 k k))) t))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 l k) l) #s(literal 2 binary64)) (*.f64 k (*.f64 k k))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
Calls

6 calls:

6.0ms
l
4.0ms
t
4.0ms
k
3.0ms
(*.f64 l l)
3.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
72.0%2l
72.0%2(*.f64 l l)
69.6%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
69.6%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
69.6%1t
71.9%2k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes64.0ms (0.7%)

Memory
6.6MiB live, 51.4MiB allocated; 6ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l l)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
Calls

6 calls:

48.0ms
t
3.0ms
k
3.0ms
l
3.0ms
(*.f64 l l)
3.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
69.5%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
69.5%1t
69.5%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
69.5%1k
69.5%1(*.f64 l l)
69.5%1l
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes20.0ms (0.2%)

Memory
-3.7MiB live, 42.5MiB allocated; 5ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l l)) t))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 (*.f64 k k) t))))
Calls

6 calls:

6.0ms
(*.f64 l l)
3.0ms
l
3.0ms
k
3.0ms
t
2.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
69.0%1(*.f64 l l)
69.0%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
69.0%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
69.0%1t
69.0%1l
69.0%1k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes14.0ms (0.1%)

Memory
27.7MiB live, 27.7MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
Calls

6 calls:

2.0ms
k
2.0ms
t
2.0ms
l
2.0ms
(*.f64 l l)
2.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
67.8%1(*.f64 l l)
67.8%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
67.8%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
67.8%1t
67.8%1l
67.8%1k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes29.0ms (0.3%)

Memory
-21.7MiB live, 24.7MiB allocated; 4ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
Calls

6 calls:

20.0ms
l
2.0ms
t
2.0ms
k
2.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
2.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
21.8%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
21.8%1t
21.8%1l
21.8%1(*.f64 l l)
21.8%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
21.8%1k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes6.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
Calls

6 calls:

1.0ms
k
1.0ms
l
1.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
1.0ms
t
1.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
19.6%1(*.f64 l l)
19.6%1l
19.6%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
19.6%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
19.6%1t
19.6%1k
Compiler

Compiled 54 to 50 computations (7.4% saved)

bsearch32.0ms (0.3%)

Memory
-25.0MiB live, 26.3MiB allocated; 10ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
29.0ms
3.5481670850248897e-66
4.7236091784405676e-66
Samples
20.0ms12×3valid
4.0ms15×2valid
2.0ms1valid
1.0ms13×0valid
Compiler

Compiled 274 to 202 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
adjust: 3.0ms (30.5% of total)
ival-div: 2.0ms (20.3% of total)
ival-pow2: 1.0ms (10.2% of total)
ival-sub: 1.0ms (10.2% of total)
ival-add: 1.0ms (10.2% of total)
ival-pow: 1.0ms (10.2% of total)
ival-mult: 1.0ms (10.2% of total)
ival-assert: 0.0ms (0% of total)
ival-tan: 0.0ms (0% of total)
ival-sin: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch49.0ms (0.5%)

Memory
4.3MiB live, 49.8MiB allocated; 8ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
46.0ms
1.0474164671285561e-6
2.058276976592972e-5
Samples
10.0ms32×2valid
7.0ms57×0valid
3.0ms3valid
3.0ms14×1valid
Compiler

Compiled 630 to 459 computations (27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
adjust: 5.0ms (26.6% of total)
ival-div: 3.0ms (16% of total)
ival-mult: 3.0ms (16% of total)
ival-pow2: 2.0ms (10.6% of total)
ival-sub: 1.0ms (5.3% of total)
ival-tan: 1.0ms (5.3% of total)
ival-add: 1.0ms (5.3% of total)
ival-pow: 1.0ms (5.3% of total)
ival-sin: 1.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch7.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
6.0ms
1.0474164671285561e-6
2.058276976592972e-5
Samples
2.0ms2valid
1.0ms1valid
1.0ms0valid
0.0ms3valid
Compiler

Compiled 630 to 459 computations (27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (31.8% of total)
adjust: 1.0ms (31.8% of total)
ival-pow2: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-tan: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-pow: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-sin: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.0474164671285561e-6
2.058276976592972e-5
Compiler

Compiled 630 to 459 computations (27.1% saved)

bsearch2.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.0474164671285561e-6
2.058276976592972e-5
Compiler

Compiled 630 to 459 computations (27.1% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.5481670850248897e-66
4.7236091784405676e-66
Compiler

Compiled 280 to 208 computations (25.7% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.826278900784868e-276
1.324767699989232e-273
Compiler

Compiled 28 to 25 computations (10.7% saved)

bsearch44.0ms (0.5%)

Memory
4.6MiB live, 50.4MiB allocated; 10ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
41.0ms
2.6331801820421733e-40
6.817472806980135e-38
Samples
17.0ms21×1valid
12.0ms67×0valid
7.0ms24×2valid
Compiler

Compiled 826 to 515 computations (37.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-add: 13.0ms (41.5% of total)
adjust: 3.0ms (9.6% of total)
ival-div: 3.0ms (9.6% of total)
ival-mult: 3.0ms (9.6% of total)
ival-sin: 3.0ms (9.6% of total)
ival-pow2: 2.0ms (6.4% of total)
ival-tan: 2.0ms (6.4% of total)
ival-sub: 1.0ms (3.2% of total)
ival-pow: 1.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.122436817e-315
Compiler

Compiled 28 to 25 computations (10.7% saved)

simplify58.0ms (0.6%)

Memory
9.6MiB live, 56.8MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01751264
12751264
27121200
335591200
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 k #s(literal 995997234783699/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))))
(if (<=.f64 k #s(literal 7791904696734915/590295810358705651712 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) (cos.f64 k))))))
(if (<=.f64 k #s(literal 4073041091475069/295147905179352825856 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l))))))
(if (<=.f64 k #s(literal 4073041091475069/295147905179352825856 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l))))))
(if (<=.f64 k #s(literal 4073041091475069/295147905179352825856 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 l l))))))
(if (<=.f64 k #s(literal 995997234783699/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 l l) #s(literal 6237000967295999/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
(if (<=.f64 t #s(literal 5363734393030611/766247770432944429179173513575154591809369561091801088 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) #s(approx (/ (* k k) (cos k)) (*.f64 k k))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(if (<=.f64 (*.f64 l l) #s(literal 0 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 l k) l) #s(literal 2 binary64)) (*.f64 k (*.f64 k k))) t)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
Outputs
(if (<=.f64 k #s(literal 995997234783699/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))))
(if (<=.f64 k #s(literal 7791904696734915/590295810358705651712 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) (cos.f64 k))))))
(if (<=.f64 k #s(literal 4073041091475069/295147905179352825856 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l))))))
(if (<=.f64 k #s(literal 4073041091475069/295147905179352825856 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l))))))
(if (<=.f64 k #s(literal 4073041091475069/295147905179352825856 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 l l))))))
(if (<=.f64 k #s(literal 995997234783699/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 l l) #s(literal 6237000967295999/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 k t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
(if (<=.f64 t #s(literal 5363734393030611/766247770432944429179173513575154591809369561091801088 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (pow (sin k) 2) t) (* l l)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l))) #s(approx (/ (* k k) (cos k)) (*.f64 k k))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(if (<=.f64 (*.f64 l l) #s(literal 0 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 l k) l) #s(literal 2 binary64)) (*.f64 k (*.f64 k k))) t)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l l)) (*.f64 k (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))

derivations739.0ms (8.2%)

Memory
-7.4MiB live, 620.3MiB allocated; 196ms collecting garbage
Stop Event
fuel
Compiler

Compiled 1 264 to 177 computations (86% saved)

preprocess156.0ms (1.7%)

Memory
-8.6MiB live, 178.7MiB allocated; 72ms collecting garbage
Remove

(negabs t)

(abs l)

Compiler

Compiled 3 266 to 720 computations (78% saved)

end0.0ms (0%)

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

Profiling

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