Toniolo and Linder, Equation (10-)

Time bar (total: 7.8s)

start0.0ms (0%)

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

analyze682.0ms (8.7%)

Memory
-55.3MiB live, 1 062.7MiB allocated; 168ms 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)

sample3.1s (39.3%)

Memory
116.7MiB live, 4 337.0MiB allocated; 761ms collecting garbage
Samples
877.0ms4 208×0valid
781.0ms1 613×2valid
568.0ms1 346×3valid
315.0ms1 077×1valid
5.0ms12×4valid
Precisions
Click to see histograms. Total time spent on operations: 2.2s
ival-mult!: 386.0ms (17.9% of total)
ival-sin: 368.0ms (17% of total)
ival-pow2: 334.0ms (15.5% of total)
adjust: 316.0ms (14.6% of total)
ival-div!: 275.0ms (12.7% of total)
ival-pow: 197.0ms (9.1% of total)
ival-tan: 188.0ms (8.7% of total)
ival-sub!: 53.0ms (2.5% of total)
ival-add!: 43.0ms (2% of total)
Bogosity

explain305.0ms (3.9%)

Memory
-3.0MiB live, 521.2MiB allocated; 35ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
840-1(-5.776497879890501e-104 -13938.019043725373 33238851666.534)(*.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)))
570-1(4.130760071859456e-21 7.502765772496995e-156 7.226516897373951e-54)(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
550-0-(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
80-0-(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
70-0-(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
21(-1.4870446394173513e+24 -3.862782324914728e-135 649992461463095.0)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))cancellation550
*.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*o430
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))underflow85
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))underflow101
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))underflow92
(pow.f64 t #s(literal 3 binary64))underflow87
(*.f64 l l)underflow74
(/.f64 k t)overflow32
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))overflow70
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))overflow70
(pow.f64 (/.f64 k t) #s(literal 2 binary64))overflow70
*.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*u310
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))overflow88
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))overflow73
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))overflow81
(pow.f64 t #s(literal 3 binary64))overflow79
(*.f64 l l)overflow50
(/.f64 k t)underflow23
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))underflow67
(pow.f64 (/.f64 k t) #s(literal 2 binary64))underflow67
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))u/u240
(pow.f64 t #s(literal 3 binary64))underflow87
(*.f64 l l)underflow74
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))o/o100
(pow.f64 t #s(literal 3 binary64))overflow79
(*.f64 l l)overflow50
*.f64(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))n*o80
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))o/n70
(pow.f64 t #s(literal 3 binary64))overflow79
*.f64(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))n*o70
*.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*u70
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))n/o60
(*.f64 l l)overflow50
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))n/u60
(*.f64 l l)underflow74
/.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/o30
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))overflow73
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))overflow81
(*.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)))overflow81
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))overflow70
(/.f64 k t)overflow32
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))overflow88
(pow.f64 t #s(literal 3 binary64))overflow79
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))overflow70
(*.f64 l l)overflow50
(pow.f64 (/.f64 k t) #s(literal 2 binary64))overflow70
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))u/n30
(pow.f64 t #s(literal 3 binary64))underflow87
*.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*o20
Confusion
Predicted +Predicted -
+1541
-2774
Precision
0.850828729281768
Recall
0.9935483870967742
Confusion?
Predicted +Predicted MaybePredicted -
+15401
-27074
Precision?
0.850828729281768
Recall?
0.9935483870967742
Freqs
test
numberfreq
075
1150
231
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
46.0ms270×0valid
39.0ms110×2valid
36.0ms78×3valid
15.0ms54×1valid
Compiler

Compiled 265 to 61 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-mult!: 18.0ms (18.3% of total)
adjust: 17.0ms (17.3% of total)
ival-div!: 15.0ms (15.2% of total)
ival-tan: 12.0ms (12.2% of total)
ival-pow2: 11.0ms (11.2% of total)
ival-sin: 11.0ms (11.2% of total)
ival-pow: 10.0ms (10.2% of total)
ival-add!: 3.0ms (3% of total)
ival-sub!: 2.0ms (2% of total)

preprocess40.0ms (0.5%)

Memory
-4.2MiB live, 45.1MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
086256
1250230
21176210
37995210
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.6%
(/.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 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Symmetry

(abs l)

(abs k)

(negabs t)

Compiler

Compiled 50 to 38 computations (24% saved)

series56.0ms (0.7%)

Memory
2.2MiB live, 94.5MiB allocated; 6ms 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
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))
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)) (* (* (/ (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))
7.0ms
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))
7.0ms
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))
7.0ms
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)) (* (* (/ (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))

rewrite170.0ms (2.2%)

Memory
49.3MiB live, 233.0MiB allocated; 19ms 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))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.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))))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 6 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 k t) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))))) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 k t) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(/.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)) (+.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 k k (*.f64 t t)))) (neg.f64 (neg.f64 (*.f64 t t))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 k t) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (neg.f64 (*.f64 k k)) (*.f64 t t) (*.f64 (neg.f64 (*.f64 t t)) (*.f64 t t))) (*.f64 (neg.f64 (*.f64 t t)) (*.f64 t t)))
(/.f64 (+.f64 (pow.f64 (*.f64 k t) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64))) (pow.f64 t #s(literal 4 binary64)))
(/.f64 (fma.f64 (neg.f64 (*.f64 k k)) #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 t t)) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 t t)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 k k) #s(literal 2 binary64) (*.f64 (*.f64 t t) #s(literal 2 binary64))) (*.f64 (*.f64 t t) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 k k)))) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 t t))))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 #s(literal 2 binary64) (*.f64 t t)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 k t) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 k k (*.f64 t t))) (neg.f64 (*.f64 t t)))
(/.f64 (fma.f64 k k (*.f64 t t)) (*.f64 t t))
(fma.f64 (neg.f64 (/.f64 k t)) (neg.f64 (/.f64 k t)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (/.f64 k t)) (fabs.f64 (/.f64 k t)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 (/.f64 k t))) (exp.f64 (log.f64 (/.f64 k t))) #s(literal 1 binary64))
(fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 k t) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 k t) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 k t) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 k t) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))))))
(+.f64 (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)
(*.f64 (neg.f64 (/.f64 k t)) (neg.f64 (/.f64 k t)))
(*.f64 (fabs.f64 (/.f64 k t)) (fabs.f64 (/.f64 k t)))
(*.f64 (exp.f64 (log.f64 (/.f64 k t))) (exp.f64 (log.f64 (/.f64 k t))))
(*.f64 (/.f64 k t) (/.f64 k t))
(pow.f64 (exp.f64 (log.f64 (/.f64 k t))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 k k))) (neg.f64 (neg.f64 (*.f64 t t))))
(/.f64 (*.f64 (neg.f64 k) k) (*.f64 (neg.f64 t) t))
(/.f64 (*.f64 k (neg.f64 k)) (*.f64 t (neg.f64 t)))
(/.f64 (neg.f64 (*.f64 k k)) (neg.f64 (*.f64 t t)))
(/.f64 (*.f64 k k) (*.f64 t t))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal -2 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 k) #s(literal 2 binary64)) (*.f64 (log.f64 t) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 k t)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 k t)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 k t)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 k t) #s(literal 1/2 binary64)) (pow.f64 (/.f64 k t) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 k t) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 k)) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 k) (neg.f64 t))
(/.f64 k t)
(exp.f64 (*.f64 (log.f64 (/.f64 k t)) #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)))))
#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(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))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)))
#s(approx (/ (pow t 3) (* l l)) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l))
#s(approx (pow t 3) (pow.f64 t #s(literal 3 binary64)))
#s(approx t t)
#s(approx (- (+ 1 (pow (/ k t) 2)) 1) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
#s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
#s(approx (+ 1 (pow (/ k t) 2)) (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (pow (/ k t) 2) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
#s(approx (/ k t) (/.f64 k t))
#s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64))
#s(approx (+ 1 (pow (/ k t) 2)) (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (* l l) (*.f64 l l))
#s(approx 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 #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 (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))))
#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 t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)))
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#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 (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 k 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 (sin k) (sin.f64 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))))

eval22.0ms (0.3%)

Memory
-7.1MiB live, 39.6MiB allocated; 2ms collecting garbage
Compiler

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

prune19.0ms (0.2%)

Memory
-20.0MiB live, 33.9MiB allocated; 4ms collecting garbage
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New18417201
Fresh000
Picked101
Done000
Total18517202
Accuracy
85.8%
Counts
202 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.1%
(/.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) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
36.7%
(/.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))))
23.9%
(/.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)) #s(literal 1 binary64)) #s(literal 1 binary64))))
40.6%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.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))))
49.8%
(/.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))))
48.3%
(/.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))))
41.0%
(/.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))))
42.0%
(/.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))))
61.3%
(/.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)))))
61.3%
(/.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)))))
61.3%
(/.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)))))
69.4%
(/.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))))
75.0%
(/.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 (*.f64 k k) t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
25.4%
#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))))
48.0%
#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))))
61.2%
#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)))
74.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
Compiler

Compiled 1 336 to 922 computations (31% saved)

series114.0ms (1.5%)

Memory
10.7MiB live, 196.8MiB allocated; 35ms collecting garbage
Counts
55 → 128
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 (/.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))))
(*.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)))
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k))
(*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k))
(*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l))
(/.f64 (*.f64 t t) l)
(*.f64 t t)
(/.f64 t l)
(-.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)))
(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 (/ 2 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))))
#s(approx (* (* (/ (* t t) l) (/ t l)) (sin k)) #s(hole binary64 (/ (* (pow t 3) (sin k)) (pow l 2))))
#s(approx (* (/ (* t t) l) (/ t l)) #s(hole binary64 (/ (pow t 3) (pow l 2))))
#s(approx (/ (* t t) l) #s(hole binary64 (/ (pow t 2) l)))
#s(approx (* t t) #s(hole binary64 (pow t 2)))
#s(approx (/ t l) #s(hole binary64 (/ t l)))
#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 (/ 2 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow k 2) (pow t 3)) (pow l 2))))
#s(approx (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (/ (* t t) l) (/ t 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 (* (* (/ (* t t) l) (/ t l)) (sin k)) #s(hole binary64 (/ (* k (pow t 3)) (pow l 2))))
#s(approx (* (* (/ (* t t) l) (/ t 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 (* (* (/ (* t t) l) (/ t 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 (* (* (/ (* t t) l) (/ t 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 (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
18.0ms
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 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (* (* (/ (* t t) l) (/ t l)) (sin k)) (* (/ (* t t) l) (/ t l)) (/ (* t t) l) (* t t) (/ t l) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) (pow (/ k t) 2) (/ k t))
11.0ms
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 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (* (* (/ (* t t) l) (/ t l)) (sin k)) (* (/ (* t t) l) (/ t l)) (/ (* t t) l) (* t t) (/ t l) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) (pow (/ k t) 2) (/ k t))
11.0ms
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 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 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (* (* (/ (* t t) l) (/ t l)) (sin k)) (* (/ (* t t) l) (/ t l)) (/ (* t t) l) (* t t) (/ t l) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) (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)) (* (/ (* (* 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 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (* (* (/ (* t t) l) (/ t l)) (sin k)) (* (/ (* t t) l) (/ t l)) (/ (* t t) l) (* t t) (/ t l) (- (+ 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 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (* (* (/ (* t t) l) (/ t l)) (sin k)) (* (/ (* t t) l) (/ t l)) (/ (* t t) l) (* t t) (/ t l) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) (pow (/ k t) 2) (/ k t))

rewrite197.0ms (2.5%)

Memory
5.5MiB live, 277.7MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05505112
06374870
129764750
084144638
Stop Event
iter-limit
node-limit
iter-limit
Counts
183 → 644
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)
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#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 (/ 2 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow k 2) (pow t 3)) (pow l 2))))
#s(approx (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (/ (* t t) l) (/ t 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 (* (* (/ (* t t) l) (/ t l)) (sin k)) #s(hole binary64 (/ (* k (pow t 3)) (pow l 2))))
#s(approx (* (* (/ (* t t) l) (/ t 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 (* (* (/ (* t t) l) (/ t 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 (* (* (/ (* t t) l) (/ t 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 (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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (*.f64 k k) l) (/.f64 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)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l) (/.f64 (*.f64 k k) l))) (neg.f64 (cos.f64 k)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l))) (neg.f64 (cos.f64 k)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (neg.f64 (*.f64 l l)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 (cos.f64 k) (*.f64 l l)))))
(/.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 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (neg.f64 (*.f64 (*.f64 k k) t))) (*.f64 l (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (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 (*.f64 l l)) (neg.f64 (cos.f64 k))))
(/.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 (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)) (*.f64 (*.f64 k k) t)) (*.f64 (cos.f64 k) (*.f64 l l)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l)) (*.f64 (neg.f64 (cos.f64 k)) l))
(/.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 (cos.f64 k)) (*.f64 l l)))
(/.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 (*.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 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l) (/.f64 (*.f64 k k) l)) (cos.f64 k))
(/.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 k k) (/.f64 t (cos.f64 k))) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l l))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (neg.f64 (*.f64 (cos.f64 k) (*.f64 l l))))
(/.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (cos.f64 k) (*.f64 l l)))
(*.f64 (*.f64 k k) (/.f64 t (cos.f64 k)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 k k) t))) (neg.f64 (neg.f64 (cos.f64 k))))
(/.f64 (neg.f64 (*.f64 (*.f64 k k) t)) (neg.f64 (cos.f64 k)))
(/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k))
(*.f64 (*.f64 k k) t)
(*.f64 k (*.f64 k t))
(*.f64 t (*.f64 k k))
(*.f64 (neg.f64 (fabs.f64 k)) (neg.f64 (fabs.f64 k)))
(*.f64 (fabs.f64 (fabs.f64 k)) (fabs.f64 (fabs.f64 k)))
(*.f64 (exp.f64 (log.f64 k)) (exp.f64 (log.f64 k)))
(*.f64 (neg.f64 (neg.f64 k)) (neg.f64 (neg.f64 k)))
(*.f64 (fabs.f64 k) (fabs.f64 k))
(*.f64 (neg.f64 k) (neg.f64 k))
(*.f64 k k)
(pow.f64 (exp.f64 (log.f64 k)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 k) #s(literal 2 binary64))
(pow.f64 (neg.f64 k) #s(literal 2 binary64))
(pow.f64 (*.f64 k k) #s(literal 1 binary64))
(pow.f64 k #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 k #s(literal -2 binary64)))
(fabs.f64 (*.f64 k k))
(exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))))
k
t
(fma.f64 (sin.f64 k) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 k) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 k) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 k (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 k)))
(cos.f64 (neg.f64 k))
(cos.f64 k)
(+.f64 (*.f64 (sin.f64 k) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 k) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 k) (neg.f64 l)) (/.f64 (sin.f64 k) (neg.f64 l)))
(*.f64 (/.f64 (sin.f64 k) (fabs.f64 l)) (/.f64 (sin.f64 k) (fabs.f64 l)))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (sin.f64 k) l))
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l)) (neg.f64 l))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (*.f64 l l))))
(/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l)
(/.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 (*.f64 l l)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l))
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 2 binary64)) (*.f64 (log.f64 l) #s(literal 2 binary64))))
(*.f64 (fabs.f64 (sin.f64 k)) (fabs.f64 (sin.f64 k)))
(*.f64 (exp.f64 (log.f64 (sin.f64 k))) (exp.f64 (log.f64 (sin.f64 k))))
(*.f64 (neg.f64 (sin.f64 k)) (neg.f64 (sin.f64 k)))
(*.f64 (sin.f64 k) (sin.f64 k))
(pow.f64 (exp.f64 (log.f64 (sin.f64 k))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 k k)) (cos.f64 (+.f64 k k))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 k) #s(literal -2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k))))
(exp.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 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)))
(*.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
#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)))))
(*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)))
(*.f64 (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) t))
(*.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))))
(*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
(/.f64 (+.f64 (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64)))) t)
(/.f64 (+.f64 (neg.f64 (*.f64 l l)) (neg.f64 (*.f64 l l))) (neg.f64 (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l l))) (neg.f64 t))
(/.f64 (*.f64 (neg.f64 (*.f64 l l)) #s(literal -2 binary64)) (*.f64 (neg.f64 t) (neg.f64 (pow.f64 k #s(literal 4 binary64)))))
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#s(approx (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)))
#s(approx (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (/ (* t t) l) (/ t 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 (* (* (/ (* t t) l) (/ t l)) (sin k)) (*.f64 (/.f64 k l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)))
#s(approx (* (* (/ (* t t) l) (/ t 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 (* (* (/ (* t t) l) (/ t 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 (* (* (/ (* t t) l) (/ t 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 (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))))

eval124.0ms (1.6%)

Memory
15.6MiB live, 197.5MiB allocated; 59ms collecting garbage
Compiler

Compiled 40 104 to 3 652 computations (90.9% saved)

prune42.0ms (0.5%)

Memory
21.4MiB live, 68.6MiB allocated; 2ms collecting garbage
Pruning

35 alts after pruning (34 fresh and 1 done)

PrunedKeptTotal
New79032822
Fresh10212
Picked415
Done000
Total80435839
Accuracy
97.4%
Counts
839 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.0%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
23.9%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.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))))
48.3%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (/.f64 (sin.f64 k) (cos.f64 k))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
35.9%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (/.f64 (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)))))))
48.3%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
35.4%
(/.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) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
44.0%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
51.7%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 t (/.f64 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))))
74.5%
(/.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 (*.f64 k k) t)) (*.f64 (cos.f64 k) (*.f64 l l)))))
85.9%
(/.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)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
74.5%
(/.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) (/.f64 t (cos.f64 k))) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l l))))
69.4%
(/.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))))
75.5%
(/.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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k)))))
90.7%
(/.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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l)))))
86.1%
(/.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))))
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 (*.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)))))
66.3%
(/.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 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
62.0%
(/.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 (*.f64 k k) t) (cos.f64 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))))))
74.3%
(/.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 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
78.4%
(/.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 (*.f64 k t)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
84.7%
(/.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) l) (/.f64 t l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
65.1%
(/.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 (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
45.3%
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)) (tan.f64 k))))
25.4%
#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))))
27.3%
#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))))
48.0%
#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))))
10.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (-.f64 (pow.f64 (*.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)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.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))))
62.8%
#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 (pow.f64 k #s(literal 4 binary64)) t)))
62.1%
#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))))
61.2%
#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)))
61.2%
#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)))
74.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
60.9%
#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)))
69.4%
#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)))
22.4%
#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 3 047 to 1 981 computations (35% saved)

series94.0ms (1.2%)

Memory
-23.3MiB live, 122.8MiB allocated; 24ms collecting garbage
Counts
47 → 131
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 (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) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l)))
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
k
t
(cos.f64 k)
(*.f64 (/.f64 k l) (/.f64 k l))
(/.f64 k l)
l
#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)
(/.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 (* (* (* (/ (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)))))
(*.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))))
(/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k))
(*.f64 (*.f64 k k) t)
(*.f64 k k)
#s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k))
(*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k))
(*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l))
(/.f64 (*.f64 t t) l)
(*.f64 t t)
(/.f64 t l)
#s(approx (tan k) 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)
(/.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))))
#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 (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l l))
(*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(*.f64 (*.f64 k k) (/.f64 t (cos.f64 k)))
(/.f64 t (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 (* (/ (* (pow (sin k) 2) t) (cos k)) (* (/ k l) (/ k l))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (/ (* t (pow (sin k) 2)) (cos k))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* t (pow (sin k) 2))))
#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 (* (/ (* (* 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 (/ 2 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))))
#s(approx (* (* (/ (* t t) l) (/ t l)) (sin k)) #s(hole binary64 (/ (* (pow t 3) (sin k)) (pow l 2))))
#s(approx (* (/ (* t t) l) (/ t l)) #s(hole binary64 (/ (pow t 3) (pow l 2))))
#s(approx (/ (* t t) l) #s(hole binary64 (/ (pow t 2) l)))
#s(approx (* t t) #s(hole binary64 (pow t 2)))
#s(approx (/ t l) #s(hole binary64 (/ t l)))
#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 (/ (* (* (* 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))) (pow (sin k) 2)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (cos k))))
#s(approx (* (* k k) (/ t (cos k))) #s(hole binary64 (/ (* (pow k 2) t) (cos k))))
#s(approx (/ t (cos k)) #s(hole binary64 (/ t (cos k))))
#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 (* (/ k l) (/ k l)) #s(hole binary64 (/ (pow k 2) (pow l 2))))
#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 (/ (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 (* (/ (* (pow (sin k) 2) t) (cos k)) (* (/ k l) (/ k l))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ (* (pow (sin k) 2) t) (cos k)) (* (/ k l) (/ k 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 (* (/ (* (pow (sin k) 2) t) (cos k)) (* (/ k l) (/ k 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 (* (/ (* (pow (sin k) 2) t) (cos k)) (* (/ k l) (/ k 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 (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* -1/3 t) (* -1/2 t)))))))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (+ (* -1/3 t) (* (pow k 2) (- (* 2/45 t) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t))))) (* -1/2 t)))))))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (+ (* -1/3 t) (* (pow k 2) (- (+ (* 2/45 t) (* (pow k 2) (- (* -1/315 t) (+ (* -1/2 (- (* 2/45 t) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t)))) (+ (* -1/720 t) (* 1/24 (- (* -1/3 t) (* -1/2 t)))))))) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t))))) (* -1/2 t)))))))
#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 (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 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 (/ (+ (* (+ (* (* -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 (* (/ (* (* 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 (/ 2 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow k 2) (pow t 3)) (pow l 2))))
#s(approx (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (/ (* t t) l) (/ t 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 (* (* (/ (* t t) l) (/ t l)) (sin k)) #s(hole binary64 (/ (* k (pow t 3)) (pow l 2))))
#s(approx (* (* (/ (* t t) l) (/ t 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 (* (* (/ (* t t) l) (/ t 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 (* (* (/ (* t t) l) (/ t 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 (/ (* (* (* 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))) (pow (sin k) 2)) #s(hole binary64 (* (pow k 4) t)))
#s(approx (* (* (* k k) (/ t (cos k))) (pow (sin k) 2)) #s(hole binary64 (* (pow k 4) (+ t (* (pow k 2) (- (* -1/3 t) (* -1/2 t)))))))
#s(approx (* (* (* k k) (/ t (cos k))) (pow (sin k) 2)) #s(hole binary64 (* (pow k 4) (+ t (* (pow k 2) (- (+ (* -1/3 t) (* (pow k 2) (- (* 2/45 t) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t))))) (* -1/2 t)))))))
#s(approx (* (* (* k k) (/ t (cos k))) (pow (sin k) 2)) #s(hole binary64 (* (pow k 4) (+ t (* (pow k 2) (- (+ (* -1/3 t) (* (pow k 2) (- (+ (* 2/45 t) (* (pow k 2) (- (* -1/315 t) (+ (* -1/2 (- (* 2/45 t) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t)))) (+ (* -1/720 t) (* 1/24 (- (* -1/3 t) (* -1/2 t)))))))) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t))))) (* -1/2 t)))))))
#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 (/ t (cos k)) #s(hole binary64 t))
#s(approx (/ t (cos k)) #s(hole binary64 (+ t (* 1/2 (* (pow k 2) t)))))
#s(approx (/ t (cos k)) #s(hole binary64 (+ t (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t))))))
#s(approx (/ t (cos k)) #s(hole binary64 (+ 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 (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 (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
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)) (* (/ (* (pow (sin k) 2) t) (cos k)) (* (/ k l) (/ k l))) (/ (* (pow (sin k) 2) t) (cos k)) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) k t (cos k) (* (/ k l) (/ k l)) (/ k l) l (/ 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))) (* (* (* (/ (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 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (* (* (/ (* t t) l) (/ t l)) (sin k)) (* (/ (* t t) l) (/ t l)) (/ (* t t) l) (* t t) (/ t l) (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t) (/ 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))) (pow (sin k) 2)) (* (* k k) (/ t (cos k))) (/ t (cos k)))
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)) (* (/ (* (pow (sin k) 2) t) (cos k)) (* (/ k l) (/ k l))) (/ (* (pow (sin k) 2) t) (cos k)) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) k t (cos k) (* (/ k l) (/ k l)) (/ k l) l (/ 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))) (* (* (* (/ (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 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (* (* (/ (* t t) l) (/ t l)) (sin k)) (* (/ (* t t) l) (/ t l)) (/ (* t t) l) (* t t) (/ t l) (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t) (/ 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))) (pow (sin k) 2)) (* (* k k) (/ t (cos k))) (/ t (cos k)))
9.0ms
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)) (* (/ (* (pow (sin k) 2) t) (cos k)) (* (/ k l) (/ k l))) (/ (* (pow (sin k) 2) t) (cos k)) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) k t (cos k) (* (/ k l) (/ k l)) (/ k l) l (/ 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))) (* (* (* (/ (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 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (* (* (/ (* t t) l) (/ t l)) (sin k)) (* (/ (* t t) l) (/ t l)) (/ (* t t) l) (* t t) (/ t l) (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t) (/ 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))) (pow (sin k) 2)) (* (* k k) (/ t (cos k))) (/ t (cos k)))
9.0ms
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 (sin k) 2) t) (cos k)) (* (/ k l) (/ k l))) (/ (* (pow (sin k) 2) t) (cos k)) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) k t (cos k) (* (/ k l) (/ k l)) (/ k l) l (/ 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))) (* (* (* (/ (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 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (* (* (/ (* t t) l) (/ t l)) (sin k)) (* (/ (* t t) l) (/ t l)) (/ (* t t) l) (* t t) (/ t l) (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t) (/ 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))) (pow (sin k) 2)) (* (* k k) (/ t (cos k))) (/ t (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)) (* (/ (* (pow (sin k) 2) t) (cos k)) (* (/ k l) (/ k l))) (/ (* (pow (sin k) 2) t) (cos k)) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) k t (cos k) (* (/ k l) (/ k l)) (/ k l) l (/ 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))) (* (* (* (/ (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 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (* (* (/ (* t t) l) (/ t l)) (sin k)) (* (/ (* t t) l) (/ t l)) (/ (* t t) l) (* t t) (/ t l) (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t) (/ 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))) (pow (sin k) 2)) (* (* k k) (/ t (cos k))) (/ t (cos k)))

rewrite214.0ms (2.7%)

Memory
15.4MiB live, 196.0MiB allocated; 63ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05925465
06545035
133405011
082814839
Stop Event
iter-limit
node-limit
iter-limit
Counts
178 → 474
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 (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) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l)))
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
k
t
(cos.f64 k)
(*.f64 (/.f64 k l) (/.f64 k l))
(/.f64 k l)
l
#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)
(/.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 (* (* (* (/ (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)))))
(*.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))))
(/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k))
(*.f64 (*.f64 k k) t)
(*.f64 k k)
#s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k))
(*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k))
(*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l))
(/.f64 (*.f64 t t) l)
(*.f64 t t)
(/.f64 t l)
#s(approx (tan k) 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)
(/.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))))
#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 (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l l))
(*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(*.f64 (*.f64 k k) (/.f64 t (cos.f64 k)))
(/.f64 t (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 (* (/ (* (pow (sin k) 2) t) (cos k)) (* (/ k l) (/ k l))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (/ (* t (pow (sin k) 2)) (cos k))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* t (pow (sin k) 2))))
#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 (* (/ (* (* 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 (/ 2 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))))
#s(approx (* (* (/ (* t t) l) (/ t l)) (sin k)) #s(hole binary64 (/ (* (pow t 3) (sin k)) (pow l 2))))
#s(approx (* (/ (* t t) l) (/ t l)) #s(hole binary64 (/ (pow t 3) (pow l 2))))
#s(approx (/ (* t t) l) #s(hole binary64 (/ (pow t 2) l)))
#s(approx (* t t) #s(hole binary64 (pow t 2)))
#s(approx (/ t l) #s(hole binary64 (/ t l)))
#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 (/ (* (* (* 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))) (pow (sin k) 2)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (cos k))))
#s(approx (* (* k k) (/ t (cos k))) #s(hole binary64 (/ (* (pow k 2) t) (cos k))))
#s(approx (/ t (cos k)) #s(hole binary64 (/ t (cos k))))
#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 (* (/ k l) (/ k l)) #s(hole binary64 (/ (pow k 2) (pow l 2))))
#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 (/ (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 (* (/ (* (pow (sin k) 2) t) (cos k)) (* (/ k l) (/ k l))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ (* (pow (sin k) 2) t) (cos k)) (* (/ k l) (/ k 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 (* (/ (* (pow (sin k) 2) t) (cos k)) (* (/ k l) (/ k 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 (* (/ (* (pow (sin k) 2) t) (cos k)) (* (/ k l) (/ k 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 (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* -1/3 t) (* -1/2 t)))))))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (+ (* -1/3 t) (* (pow k 2) (- (* 2/45 t) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t))))) (* -1/2 t)))))))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (+ (* -1/3 t) (* (pow k 2) (- (+ (* 2/45 t) (* (pow k 2) (- (* -1/315 t) (+ (* -1/2 (- (* 2/45 t) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t)))) (+ (* -1/720 t) (* 1/24 (- (* -1/3 t) (* -1/2 t)))))))) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t))))) (* -1/2 t)))))))
#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 (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 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 (/ (+ (* (+ (* (* -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 (* (/ (* (* 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 (/ 2 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow k 2) (pow t 3)) (pow l 2))))
#s(approx (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (/ (* t t) l) (/ t 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 (* (* (/ (* t t) l) (/ t l)) (sin k)) #s(hole binary64 (/ (* k (pow t 3)) (pow l 2))))
#s(approx (* (* (/ (* t t) l) (/ t 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 (* (* (/ (* t t) l) (/ t 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 (* (* (/ (* t t) l) (/ t 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 (/ (* (* (* 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))) (pow (sin k) 2)) #s(hole binary64 (* (pow k 4) t)))
#s(approx (* (* (* k k) (/ t (cos k))) (pow (sin k) 2)) #s(hole binary64 (* (pow k 4) (+ t (* (pow k 2) (- (* -1/3 t) (* -1/2 t)))))))
#s(approx (* (* (* k k) (/ t (cos k))) (pow (sin k) 2)) #s(hole binary64 (* (pow k 4) (+ t (* (pow k 2) (- (+ (* -1/3 t) (* (pow k 2) (- (* 2/45 t) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t))))) (* -1/2 t)))))))
#s(approx (* (* (* k k) (/ t (cos k))) (pow (sin k) 2)) #s(hole binary64 (* (pow k 4) (+ t (* (pow k 2) (- (+ (* -1/3 t) (* (pow k 2) (- (+ (* 2/45 t) (* (pow k 2) (- (* -1/315 t) (+ (* -1/2 (- (* 2/45 t) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t)))) (+ (* -1/720 t) (* 1/24 (- (* -1/3 t) (* -1/2 t)))))))) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t))))) (* -1/2 t)))))))
#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 (/ t (cos k)) #s(hole binary64 t))
#s(approx (/ t (cos k)) #s(hole binary64 (+ t (* 1/2 (* (pow k 2) t)))))
#s(approx (/ t (cos k)) #s(hole binary64 (+ t (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t))))))
#s(approx (/ t (cos k)) #s(hole binary64 (+ 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 (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 (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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k))) (pow.f64 (/.f64 k l) #s(literal 2 binary64))))))
(/.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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k))) (pow.f64 (/.f64 k l) #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 t (cos.f64 k))) (pow.f64 (/.f64 k l) #s(literal 2 binary64)))))
#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 t (cos.f64 k))) (pow.f64 (/.f64 k l) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k))) (/.f64 k l)) (/.f64 k l))
(*.f64 (/.f64 (*.f64 (/.f64 t (cos.f64 k)) (*.f64 k k)) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(*.f64 (*.f64 (/.f64 t (cos.f64 k)) (*.f64 k k)) (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l))
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k))) (pow.f64 (/.f64 k l) #s(literal 2 binary64)))
(*.f64 (*.f64 k k) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (cos.f64 k) (*.f64 l l))))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l) (*.f64 (/.f64 t (cos.f64 k)) (*.f64 k k)))
(*.f64 (pow.f64 (/.f64 k l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k))))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l l))) (neg.f64 (cos.f64 k)))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (/.f64 t (cos.f64 k)) (*.f64 k k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) l)) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (pow.f64 (/.f64 k l) #s(literal 2 binary64)))) (neg.f64 (cos.f64 k)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l))) (neg.f64 (cos.f64 k)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (/.f64 t (cos.f64 k)) (*.f64 k k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 l l))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 (cos.f64 k) (*.f64 l l)))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l)) (*.f64 (neg.f64 (cos.f64 k)) l))
(/.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 (cos.f64 k)) (*.f64 l l)))
(/.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 (*.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 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 k (/.f64 k l))) (*.f64 (neg.f64 (cos.f64 k)) l))
(/.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 k l) k)) (*.f64 (neg.f64 (cos.f64 k)) l))
(/.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (neg.f64 (*.f64 k k))) (*.f64 (neg.f64 (cos.f64 k)) (neg.f64 (*.f64 l l))))
(/.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 k k)) (*.f64 (neg.f64 (cos.f64 k)) (*.f64 l l)))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 k (/.f64 k l))) (*.f64 (cos.f64 k) l))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (/.f64 k l) k)) (*.f64 (cos.f64 k) l))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (neg.f64 (*.f64 k k))) (*.f64 (cos.f64 k) (neg.f64 (*.f64 l l))))
(/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (neg.f64 (*.f64 (*.f64 k k) t))) (*.f64 l (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (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 (*.f64 l l)) (neg.f64 (cos.f64 k))))
(/.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 (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)) (*.f64 (*.f64 k k) t)) (*.f64 (cos.f64 k) (*.f64 l l)))
(/.f64 (*.f64 (*.f64 k (/.f64 k l)) (neg.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) (*.f64 l (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (*.f64 k (/.f64 k l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 l (cos.f64 k)))
(/.f64 (*.f64 (*.f64 (/.f64 k l) k) (neg.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) (*.f64 l (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (*.f64 (/.f64 k l) k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 l (cos.f64 k)))
(/.f64 (*.f64 (neg.f64 (*.f64 k k)) (neg.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) (*.f64 (neg.f64 (*.f64 l l)) (neg.f64 (cos.f64 k))))
(/.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 (*.f64 (*.f64 k k) (neg.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) (*.f64 (*.f64 l l) (neg.f64 (cos.f64 k))))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l l)) (cos.f64 k))
(/.f64 (/.f64 (*.f64 (*.f64 (/.f64 t (cos.f64 k)) (*.f64 k k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) l) l)
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (pow.f64 (/.f64 k l) #s(literal 2 binary64))) (cos.f64 k))
(/.f64 (*.f64 (*.f64 (*.f64 k k) t) (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l)) (cos.f64 k))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 t (cos.f64 k)) (*.f64 k k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (neg.f64 (*.f64 l l)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (neg.f64 (*.f64 (cos.f64 k) (*.f64 l l))))
(/.f64 (*.f64 (*.f64 (/.f64 t (cos.f64 k)) (*.f64 k k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l l))
(/.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (cos.f64 k) (*.f64 l l)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k)))
(*.f64 t (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) (neg.f64 (neg.f64 (cos.f64 k))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (neg.f64 (cos.f64 k)))
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(*.f64 (fabs.f64 (sin.f64 k)) (fabs.f64 (sin.f64 k)))
(*.f64 (exp.f64 (log.f64 (sin.f64 k))) (exp.f64 (log.f64 (sin.f64 k))))
(*.f64 (neg.f64 (sin.f64 k)) (neg.f64 (sin.f64 k)))
(*.f64 (sin.f64 k) (sin.f64 k))
(pow.f64 (exp.f64 (log.f64 (sin.f64 k))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 k k)) (cos.f64 (+.f64 k k))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 k) #s(literal -2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k))))
(exp.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 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
t
(fma.f64 (sin.f64 k) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 k) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 k) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 k (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 k)))
(cos.f64 (neg.f64 k))
(cos.f64 k)
(+.f64 (*.f64 (sin.f64 k) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 k) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (neg.f64 (/.f64 k l))) (neg.f64 (neg.f64 (/.f64 k l))))
(*.f64 (neg.f64 (fabs.f64 (/.f64 k l))) (neg.f64 (fabs.f64 (/.f64 k l))))
(*.f64 (fabs.f64 (fabs.f64 (/.f64 k l))) (fabs.f64 (fabs.f64 (/.f64 k l))))
(*.f64 (pow.f64 (/.f64 k l) #s(literal 1 binary64)) (pow.f64 (/.f64 k l) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 k l) #s(literal 1 binary64)) (/.f64 k l))
(*.f64 (neg.f64 (/.f64 k l)) (neg.f64 (/.f64 k l)))
(*.f64 (fabs.f64 (/.f64 k l)) (fabs.f64 (/.f64 k l)))
(*.f64 (/.f64 k l) (/.f64 k l))
(pow.f64 (neg.f64 (/.f64 k l)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (/.f64 k l)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 k l) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 k l) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 k (/.f64 k l))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (/.f64 k l) k)) (neg.f64 l))
(/.f64 (neg.f64 (neg.f64 (*.f64 k k))) (neg.f64 (neg.f64 (*.f64 l l))))
(/.f64 (*.f64 (neg.f64 k) k) (*.f64 (neg.f64 l) l))
(/.f64 (*.f64 k (neg.f64 k)) (*.f64 l (neg.f64 l)))
(/.f64 (*.f64 k (/.f64 k l)) l)
(/.f64 (*.f64 (/.f64 k l) k) l)
(/.f64 (neg.f64 (*.f64 k k)) (neg.f64 (*.f64 l l)))
(/.f64 (*.f64 k k) (*.f64 l l))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k l) #s(literal -2 binary64)))
(fabs.f64 (pow.f64 (/.f64 k l) #s(literal 2 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 k) #s(literal 2 binary64)) (*.f64 (log.f64 l) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 k l)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 k)) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 k) (neg.f64 l))
(/.f64 k l)
l
#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 (*.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)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64)))
(*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))
(*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))
(/.f64 (neg.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l))) (neg.f64 t))
(/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)
#s(literal -7/60 binary64)
(*.f64 l (/.f64 l t))
(/.f64 (neg.f64 (neg.f64 (*.f64 l l))) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 (*.f64 l l)) (neg.f64 t))
(/.f64 (*.f64 l l) t)
(*.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))))
(/.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 t (cos.f64 k)) (*.f64 k k)) #s(approx (/ (pow (sin k) 2) (* l l)) (pow.f64 (/.f64 k l) #s(literal 2 binary64)))))))
(/.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 t (cos.f64 k)) (*.f64 k k)) #s(approx (/ (pow (sin k) 2) (* l l)) (pow.f64 (/.f64 k l) #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 (/.f64 t (cos.f64 k)) (*.f64 k k)) #s(approx (/ (pow (sin k) 2) (* l l)) (pow.f64 (/.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 t (cos.f64 k)) (*.f64 k k)) #s(approx (/ (pow (sin k) 2) (* l l)) (pow.f64 (/.f64 k l) #s(literal 2 binary64)))))
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(/.f64 t (cos.f64 k))
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#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 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 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)) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) t) #s(literal -1/3 binary64) (*.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)) (pow k 4)) (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) t) #s(literal -7/60 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))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (*.f64 (pow.f64 k #s(literal 4 binary64)) (/.f64 t (*.f64 l 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 (*.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 (/.f64 t (*.f64 l l)) #s(literal -1/3 binary64))) (*.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 (fma.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) (*.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 (/.f64 t (*.f64 l l)) #s(literal -1/3 binary64))) (*.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)) (pow.f64 (/.f64 k l) #s(literal 2 binary64)))
#s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 k l) #s(literal 2 binary64)) (pow.f64 l #s(literal -2 binary64))) (*.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 (fma.f64 (pow.f64 l #s(literal -2 binary64)) #s(literal 2/45 binary64) (*.f64 #s(literal -1/315 binary64) (pow.f64 (/.f64 k l) #s(literal 2 binary64)))) (*.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 (/ 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))) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) t) #s(literal -1/3 binary64) (*.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 (/.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 (pow.f64 k #s(literal 4 binary64)) (/.f64 t (*.f64 l l))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 t (*.f64 l l))) #s(literal 1/6 binary64) (/.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 t (*.f64 l l)) #s(literal 1/6 binary64) (/.f64 (*.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 (fma.f64 (/.f64 t (*.f64 l l)) #s(literal 31/360 binary64) (/.f64 (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t)) (*.f64 l l))) (*.f64 k k) (*.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 (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)))
#s(approx (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (*.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) #s(literal 1/6 binary64) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) (*.f64 k k)))
#s(approx (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.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 (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) #s(literal 173/5040 binary64) (/.f64 (*.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) (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 (* (* (/ (* t t) l) (/ t l)) (sin k)) (/.f64 (*.f64 k (pow.f64 t #s(literal 3 binary64))) (*.f64 l l)))
#s(approx (* (* (/ (* t t) l) (/ t l)) (sin k)) (*.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) #s(literal -1/6 binary64) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) k))
#s(approx (* (* (/ (* t t) l) (/ t l)) (sin k)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) #s(literal 1/120 binary64) (/.f64 (*.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 (* (* (/ (* t t) l) (/ t l)) (sin k)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) #s(literal -1/5040 binary64) (/.f64 (*.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) (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 (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 (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (*.f64 (pow.f64 k #s(literal 4 binary64)) (/.f64 t (*.f64 l 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 (*.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 (/.f64 t (*.f64 l l)) #s(literal -1/3 binary64))) (*.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 (fma.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) (*.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 (/.f64 t (*.f64 l l)) #s(literal -1/3 binary64))) (*.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)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t))
#s(approx (* (* (* k k) (/ t (cos k))) (pow (sin k) 2)) (*.f64 (fma.f64 (*.f64 t #s(literal 1/6 binary64)) (*.f64 k k) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* k k) (/ t (cos k))) (pow (sin k) 2)) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) t) (fma.f64 (*.f64 t #s(literal 1/6 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) t))) (*.f64 k k) (*.f64 #s(literal -1/3 binary64) t)) (*.f64 #s(literal -1/2 binary64) t)) (*.f64 k k) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* k k) (/ t (cos k))) (pow (sin k) 2)) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/315 binary64) t) (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) t) (fma.f64 (*.f64 t #s(literal 1/6 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) t))) #s(literal -1/2 binary64) (fma.f64 (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) t)))) (*.f64 k k) (*.f64 #s(literal 2/45 binary64) t)) (fma.f64 (*.f64 t #s(literal 1/6 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) t))) (*.f64 k k) (*.f64 #s(literal -1/3 binary64) t)) (*.f64 #s(literal -1/2 binary64) t)) (*.f64 k k) t) (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 (/ t (cos k)) t)
#s(approx (/ t (cos k)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 k k) t) t))
#s(approx (/ t (cos k)) (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))
#s(approx (/ t (cos k)) (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))
#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) (*.f64 (*.f64 k k) t)) #s(literal -1/3 binary64) (*.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) (*.f64 (*.f64 k k) t)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64)))))
#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))))

eval478.0ms (6.1%)

Memory
-138.7MiB live, 108.9MiB allocated; 873ms collecting garbage
Compiler

Compiled 27 770 to 2 756 computations (90.1% saved)

prune82.0ms (1.1%)

Memory
-12.4MiB live, 80.1MiB allocated; 7ms collecting garbage
Pruning

39 alts after pruning (38 fresh and 1 done)

PrunedKeptTotal
New56620586
Fresh111829
Picked415
Done101
Total58239621
Accuracy
98.9%
Counts
621 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.9%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.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))))
48.3%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
35.4%
(/.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) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
44.0%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
27.0%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
52.1%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))))
43.5%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) #s(approx (sin k) k)) #s(approx (tan k) k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
85.9%
(/.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)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
89.3%
(/.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)) t) (*.f64 (/.f64 k l) k)) (*.f64 (cos.f64 k) l))))
68.5%
(/.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) (/.f64 t (cos.f64 k))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k))))) (*.f64 l l))))
65.0%
(/.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 (*.f64 k k) (/.f64 t (cos.f64 k))) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l l))))
64.7%
(/.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) #s(approx (/ t (cos k)) t)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l l))))
69.4%
(/.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))))
75.3%
(/.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)) t) #s(approx (cos k) #s(literal 1 binary64))) (*.f64 (/.f64 k l) (/.f64 k l)))))
82.9%
(/.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 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l)))))
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 (*.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)))))
74.3%
(/.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 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (/.f64 (*.f64 (/.f64 k l) k) l)))))
48.5%
(/.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) #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 (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
55.0%
(/.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 (*.f64 k k) t) #s(approx (cos k) (fma.f64 #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))))))
78.4%
(/.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 (*.f64 k t)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
75.7%
(/.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 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
84.7%
(/.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) l) (/.f64 t l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
94.2%
(/.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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k))) (/.f64 k l)) (/.f64 k l))))
75.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (cos.f64 k) (*.f64 l l))))))
72.9%
(/.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) (cos k)) (*.f64 (*.f64 k k) t)) (*.f64 (/.f64 k l) (/.f64 k l)))))
65.1%
(/.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 (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
25.4%
#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))))
27.3%
#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))))
48.0%
#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))))
10.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (-.f64 (pow.f64 (*.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)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.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))))
62.8%
#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 (pow.f64 k #s(literal 4 binary64)) t)))
62.1%
#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))))
61.2%
#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)))
74.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
74.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
69.4%
#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)))
22.4%
#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)))
22.4%
#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))))
19.3%
#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 3 615 to 2 327 computations (35.6% saved)

series116.0ms (1.5%)

Memory
22.2MiB live, 158.7MiB allocated; 17ms collecting garbage
Counts
47 → 119
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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k))) (/.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)) (/.f64 t (cos.f64 k))) (/.f64 k l)) (/.f64 k l)))
(*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k))) (/.f64 k l)) (/.f64 k l))
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k))) (/.f64 k l))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k)))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
k
(/.f64 t (cos.f64 k))
t
(cos.f64 k)
(/.f64 k l)
l
#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 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64))
(*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t))
(/.f64 l (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 l l)
(/.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) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 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) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k))
(*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k))
(*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l))
(/.f64 (*.f64 t t) l)
(*.f64 t t)
(/.f64 t l)
(tan.f64 k)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t)))
#s(literal 1 binary64)
(/.f64 (*.f64 k k) (*.f64 t 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 (sin k) 2) (/ t (cos k))) (/ k l)) (/ k l)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (* (pow (sin k) 2) (/ t (cos k))) (/ k l)) #s(hole binary64 (/ (* k (* t (pow (sin k) 2))) (* l (cos k)))))
#s(approx (* (pow (sin k) 2) (/ t (cos k))) #s(hole binary64 (/ (* t (pow (sin k) 2)) (cos k))))
#s(approx (/ t (cos k)) #s(hole binary64 (/ t (cos k))))
#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 (* (* (/ l (pow k 4)) (/ l t)) 2) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* (/ l (pow k 4)) (/ l t)) #s(hole binary64 (/ (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 (/ 2 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))))
#s(approx (* (* (/ (* t t) l) (/ t l)) (sin k)) #s(hole binary64 (/ (* (pow t 3) (sin k)) (pow l 2))))
#s(approx (* (/ (* t t) l) (/ t l)) #s(hole binary64 (/ (pow t 3) (pow l 2))))
#s(approx (/ (* t t) l) #s(hole binary64 (/ (pow t 2) l)))
#s(approx (* t t) #s(hole binary64 (pow t 2)))
#s(approx (/ t l) #s(hole binary64 (/ t l)))
#s(approx (- (+ 1 (/ (* k k) (* t t))) 1) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (/ (* k k) (* t t))) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (/ (* k k) (* t t))) #s(hole binary64 (/ (+ (pow k 2) (pow t 2)) (pow t 2))))
#s(approx (/ (* k k) (* t t)) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (/ (* k k) (* t t))) #s(hole binary64 1))
#s(approx (+ 1 (/ (* k k) (* t t))) #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 (/ 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 (pow k 4)) #s(hole binary64 (/ l (pow k 4))))
#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 (/ 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 (sin k) 2) (/ t (cos k))) (/ k l)) (/ k l)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (pow (sin k) 2) (/ t (cos k))) (/ k l)) (/ k 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 (* (* (* (pow (sin k) 2) (/ t (cos k))) (/ k l)) (/ k 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 (* (* (* (pow (sin k) 2) (/ t (cos k))) (/ k l)) (/ k 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 (* (* (pow (sin k) 2) (/ t (cos k))) (/ k l)) #s(hole binary64 (/ (* (pow k 3) t) l)))
#s(approx (* (* (pow (sin k) 2) (/ t (cos k))) (/ k l)) #s(hole binary64 (* (pow k 3) (+ (* (pow k 2) (- (* -1/3 (/ t l)) (* -1/2 (/ t l)))) (/ t l)))))
#s(approx (* (* (pow (sin k) 2) (/ t (cos k))) (/ k l)) #s(hole binary64 (* (pow k 3) (+ (* (pow k 2) (- (+ (* -1/3 (/ t l)) (* (pow k 2) (- (* 2/45 (/ t l)) (+ (* -1/2 (- (* -1/3 (/ t l)) (* -1/2 (/ t l)))) (* 1/24 (/ t l)))))) (* -1/2 (/ t l)))) (/ t l)))))
#s(approx (* (* (pow (sin k) 2) (/ t (cos k))) (/ k l)) #s(hole binary64 (* (pow k 3) (+ (* (pow k 2) (- (+ (* -1/3 (/ t l)) (* (pow k 2) (- (+ (* 2/45 (/ t l)) (* (pow k 2) (- (* -1/315 (/ t l)) (+ (* -1/2 (- (* 2/45 (/ t l)) (+ (* -1/2 (- (* -1/3 (/ t l)) (* -1/2 (/ t l)))) (* 1/24 (/ t l))))) (+ (* -1/720 (/ t l)) (* 1/24 (- (* -1/3 (/ t l)) (* -1/2 (/ t l))))))))) (+ (* -1/2 (- (* -1/3 (/ t l)) (* -1/2 (/ t l)))) (* 1/24 (/ t l)))))) (* -1/2 (/ t l)))) (/ t l)))))
#s(approx (* (pow (sin k) 2) (/ t (cos k))) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* (pow (sin k) 2) (/ t (cos k))) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* -1/3 t) (* -1/2 t)))))))
#s(approx (* (pow (sin k) 2) (/ t (cos k))) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (+ (* -1/3 t) (* (pow k 2) (- (* 2/45 t) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t))))) (* -1/2 t)))))))
#s(approx (* (pow (sin k) 2) (/ t (cos k))) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (+ (* -1/3 t) (* (pow k 2) (- (+ (* 2/45 t) (* (pow k 2) (- (* -1/315 t) (+ (* -1/2 (- (* 2/45 t) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t)))) (+ (* -1/720 t) (* 1/24 (- (* -1/3 t) (* -1/2 t)))))))) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t))))) (* -1/2 t)))))))
#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 k #s(hole binary64 k))
#s(approx (/ t (cos k)) #s(hole binary64 t))
#s(approx (/ t (cos k)) #s(hole binary64 (+ t (* 1/2 (* (pow k 2) t)))))
#s(approx (/ t (cos k)) #s(hole binary64 (+ t (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t))))))
#s(approx (/ t (cos k)) #s(hole binary64 (+ 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 (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 (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 (/ 2 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 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 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 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 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 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 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 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 (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow k 2) (pow t 3)) (pow l 2))))
#s(approx (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (/ (* t t) l) (/ t 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 (* (* (/ (* t t) l) (/ t l)) (sin k)) #s(hole binary64 (/ (* k (pow t 3)) (pow l 2))))
#s(approx (* (* (/ (* t t) l) (/ t 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 (* (* (/ (* t t) l) (/ t 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 (* (* (/ (* t t) l) (/ t 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 (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 (tan k) #s(hole binary64 (/ (sin k) (cos k))))
#s(approx (+ 1 (/ (* k k) (* t t))) #s(hole binary64 (* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))))
Calls

9 calls:

TimeVariablePointExpression
27.0ms
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 (sin k) 2) (/ t (cos k))) (/ k l)) (/ k l)) (* (* (pow (sin k) 2) (/ t (cos k))) (/ k l)) (* (pow (sin k) 2) (/ t (cos k))) (pow (sin k) 2) (sin k) k (/ t (cos k)) t (cos k) (/ k l) l (/ 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))) (* (* (/ l (pow k 4)) (/ l t)) 2) (* (/ l (pow k 4)) (/ l t)) (/ l (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)) (* l l) (/ 2 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1))) (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (* (* (/ (* t t) l) (/ t l)) (sin k)) (* (/ (* t t) l) (/ t l)) (/ (* t t) l) (* t t) (/ t l) (tan k) (- (+ 1 (/ (* k k) (* t t))) 1) (+ 1 (/ (* k k) (* t t))) 1 (/ (* k k) (* t t)))
17.0ms
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 (sin k) 2) (/ t (cos k))) (/ k l)) (/ k l)) (* (* (pow (sin k) 2) (/ t (cos k))) (/ k l)) (* (pow (sin k) 2) (/ t (cos k))) (pow (sin k) 2) (sin k) k (/ t (cos k)) t (cos k) (/ k l) l (/ 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))) (* (* (/ l (pow k 4)) (/ l t)) 2) (* (/ l (pow k 4)) (/ l t)) (/ l (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)) (* l l) (/ 2 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1))) (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (* (* (/ (* t t) l) (/ t l)) (sin k)) (* (/ (* t t) l) (/ t l)) (/ (* t t) l) (* t t) (/ t l) (tan k) (- (+ 1 (/ (* k k) (* t t))) 1) (+ 1 (/ (* k k) (* t t))) 1 (/ (* k k) (* t t)))
15.0ms
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)) (* (* (* (pow (sin k) 2) (/ t (cos k))) (/ k l)) (/ k l)) (* (* (pow (sin k) 2) (/ t (cos k))) (/ k l)) (* (pow (sin k) 2) (/ t (cos k))) (pow (sin k) 2) (sin k) k (/ t (cos k)) t (cos k) (/ k l) l (/ 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))) (* (* (/ l (pow k 4)) (/ l t)) 2) (* (/ l (pow k 4)) (/ l t)) (/ l (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)) (* l l) (/ 2 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1))) (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (* (* (/ (* t t) l) (/ t l)) (sin k)) (* (/ (* t t) l) (/ t l)) (/ (* t t) l) (* t t) (/ t l) (tan k) (- (+ 1 (/ (* k k) (* t t))) 1) (+ 1 (/ (* k k) (* t t))) 1 (/ (* k k) (* t t)))
10.0ms
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 (sin k) 2) (/ t (cos k))) (/ k l)) (/ k l)) (* (* (pow (sin k) 2) (/ t (cos k))) (/ k l)) (* (pow (sin k) 2) (/ t (cos k))) (pow (sin k) 2) (sin k) k (/ t (cos k)) t (cos k) (/ k l) l (/ 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))) (* (* (/ l (pow k 4)) (/ l t)) 2) (* (/ l (pow k 4)) (/ l t)) (/ l (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)) (* l l) (/ 2 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1))) (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (* (* (/ (* t t) l) (/ t l)) (sin k)) (* (/ (* t t) l) (/ t l)) (/ (* t t) l) (* t t) (/ t l) (tan k) (- (+ 1 (/ (* k k) (* t t))) 1) (+ 1 (/ (* k k) (* t t))) 1 (/ (* k k) (* t t)))
10.0ms
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)) (* (* (* (pow (sin k) 2) (/ t (cos k))) (/ k l)) (/ k l)) (* (* (pow (sin k) 2) (/ t (cos k))) (/ k l)) (* (pow (sin k) 2) (/ t (cos k))) (pow (sin k) 2) (sin k) k (/ t (cos k)) t (cos k) (/ k l) l (/ 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))) (* (* (/ l (pow k 4)) (/ l t)) 2) (* (/ l (pow k 4)) (/ l t)) (/ l (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)) (* l l) (/ 2 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1))) (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (* (* (/ (* t t) l) (/ t l)) (sin k)) (* (/ (* t t) l) (/ t l)) (/ (* t t) l) (* t t) (/ t l) (tan k) (- (+ 1 (/ (* k k) (* t t))) 1) (+ 1 (/ (* k k) (* t t))) 1 (/ (* k k) (* t t)))

rewrite175.0ms (2.2%)

Memory
-0.9MiB live, 234.2MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06044925
06674563
134754503
080234354
Stop Event
iter-limit
node-limit
iter-limit
Counts
166 → 426
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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k))) (/.f64 k l)) (/.f64 k l))))
#s(literal 2 binary64)
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(*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k))) (/.f64 k l)) (/.f64 k l))
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k))) (/.f64 k l))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k)))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
k
(/.f64 t (cos.f64 k))
t
(cos.f64 k)
(/.f64 k l)
l
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#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))
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(/.f64 l (pow.f64 k #s(literal 4 binary64)))
(pow.f64 k #s(literal 4 binary64))
#s(literal 4 binary64)
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(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l))
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(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k))
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#s(literal 1 binary64)
(/.f64 (*.f64 k k) (*.f64 t t))
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#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)))))
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#s(approx (* (* (pow (sin k) 2) (/ t (cos k))) (/ k l)) #s(hole binary64 (/ (* k (* t (pow (sin k) 2))) (* l (cos k)))))
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#s(approx (/ t (cos k)) #s(hole binary64 (/ t (cos k))))
#s(approx t #s(hole binary64 t))
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#s(approx (* l (/ l t)) #s(hole binary64 (/ (pow l 2) t)))
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#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)))
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#s(approx (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
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#s(approx (* t t) #s(hole binary64 (pow t 2)))
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#s(approx (/ k l) #s(hole binary64 (/ k l)))
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#s(approx k #s(hole binary64 k))
#s(approx (/ t (cos k)) #s(hole binary64 t))
#s(approx (/ t (cos k)) #s(hole binary64 (+ t (* 1/2 (* (pow k 2) t)))))
#s(approx (/ t (cos k)) #s(hole binary64 (+ t (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t))))))
#s(approx (/ t (cos k)) #s(hole binary64 (+ 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 (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 (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 (/ 2 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 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 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 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 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 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 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 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 (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow k 2) (pow t 3)) (pow l 2))))
#s(approx (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (/ (* t t) l) (/ t 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 (* (* (* (/ (* t t) l) (/ t 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 (* (* (/ (* t t) l) (/ t l)) (sin k)) #s(hole binary64 (/ (* k (pow t 3)) (pow l 2))))
#s(approx (* (* (/ (* t t) l) (/ t 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 (* (* (/ (* t t) l) (/ t 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 (* (* (/ (* t t) l) (/ t 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 (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 (tan k) #s(hole binary64 (/ (sin k) (cos k))))
#s(approx (+ 1 (/ (* k k) (* t t))) #s(hole binary64 (* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))))
Outputs
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (*.f64 (*.f64 (/.f64 t (cos.f64 k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (pow.f64 (/.f64 k l) #s(literal 2 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (*.f64 (*.f64 (/.f64 t (cos.f64 k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (pow.f64 (/.f64 k l) #s(literal 2 binary64)))))
#s(literal 2 binary64)
#s(approx (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (*.f64 (*.f64 (/.f64 t (cos.f64 k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (pow.f64 (/.f64 k l) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 t (cos.f64 k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (/.f64 k l)) (/.f64 k l))
(*.f64 (*.f64 (/.f64 t (cos.f64 k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (pow.f64 (/.f64 k l) #s(literal 2 binary64)))
(*.f64 (/.f64 k l) (*.f64 (*.f64 (/.f64 t (cos.f64 k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (/.f64 k l)))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (neg.f64 k)) (*.f64 (cos.f64 k) (neg.f64 l)))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l))
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 t (cos.f64 k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) k) (neg.f64 k)) (*.f64 l (neg.f64 l)))
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 t (cos.f64 k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) k) k) (*.f64 l l))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (neg.f64 k)) (*.f64 (neg.f64 (*.f64 (cos.f64 k) l)) (neg.f64 l)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) k) (*.f64 (neg.f64 (*.f64 (cos.f64 k) l)) l))
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) (neg.f64 k)) (*.f64 (*.f64 (cos.f64 k) l) (neg.f64 l)))
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) k) (*.f64 (*.f64 (cos.f64 k) l) l))
(/.f64 (*.f64 (neg.f64 k) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)) (*.f64 (neg.f64 l) (cos.f64 k)))
(/.f64 (*.f64 (neg.f64 k) (*.f64 (*.f64 (/.f64 t (cos.f64 k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) k)) (*.f64 (neg.f64 l) l))
(/.f64 (*.f64 (neg.f64 k) (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k))) (*.f64 (neg.f64 l) (neg.f64 (*.f64 (cos.f64 k) l))))
(/.f64 (*.f64 (neg.f64 k) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (*.f64 (neg.f64 l) (*.f64 (cos.f64 k) l)))
(/.f64 (*.f64 k (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)) (*.f64 (cos.f64 k) l))
(/.f64 (*.f64 k (*.f64 (*.f64 (/.f64 t (cos.f64 k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) k)) (*.f64 l l))
(/.f64 (*.f64 k (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k))) (*.f64 l (neg.f64 (*.f64 (cos.f64 k) l))))
(/.f64 (*.f64 k (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (*.f64 l (*.f64 (cos.f64 k) l)))
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 t (cos.f64 k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (/.f64 k l)) k) l)
(*.f64 (*.f64 (/.f64 t (cos.f64 k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (/.f64 k l))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 t (cos.f64 k)) (/.f64 k l)))
(*.f64 (/.f64 k l) (*.f64 (/.f64 t (cos.f64 k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(*.f64 k (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (cos.f64 k) l)))
(/.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (neg.f64 k)) (*.f64 (neg.f64 (cos.f64 k)) (neg.f64 l)))
(/.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) k) (*.f64 (neg.f64 (cos.f64 k)) l))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (neg.f64 k)) (*.f64 (cos.f64 k) (neg.f64 l)))
(/.f64 (*.f64 (neg.f64 k) (neg.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) (*.f64 (neg.f64 l) (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (neg.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (neg.f64 l) (cos.f64 k)))
(/.f64 (*.f64 k (neg.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) (*.f64 l (neg.f64 (cos.f64 k))))
(/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (cos.f64 k))
(/.f64 (*.f64 (*.f64 (/.f64 t (cos.f64 k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) k) l)
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (neg.f64 (*.f64 (cos.f64 k) l)))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) (*.f64 (cos.f64 k) l))
(*.f64 (/.f64 t (cos.f64 k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k)))
(*.f64 t (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (neg.f64 (cos.f64 k)))
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k))
(*.f64 (fabs.f64 (sin.f64 k)) (fabs.f64 (sin.f64 k)))
(*.f64 (exp.f64 (log.f64 (sin.f64 k))) (exp.f64 (log.f64 (sin.f64 k))))
(*.f64 (neg.f64 (sin.f64 k)) (neg.f64 (sin.f64 k)))
(*.f64 (sin.f64 k) (sin.f64 k))
(pow.f64 (exp.f64 (log.f64 (sin.f64 k))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 k k)) (cos.f64 (+.f64 k k))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 k) #s(literal -2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k))))
(exp.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 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 t) (neg.f64 (cos.f64 k)))
(/.f64 t (cos.f64 k))
t
(fma.f64 (sin.f64 k) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 k) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 k) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 k (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 k)))
(cos.f64 (neg.f64 k))
(cos.f64 k)
(+.f64 (*.f64 (sin.f64 k) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 k) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 k) (neg.f64 l))
(/.f64 k l)
l
#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 (/.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)) (*.f64 (*.f64 (/.f64 l t) l) #s(literal -7/60 binary64)))
(*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))
(*.f64 (*.f64 (/.f64 l t) l) #s(literal -7/60 binary64))
(*.f64 #s(literal -7/60 binary64) (*.f64 (/.f64 l t) l))
(/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)
#s(literal -7/60 binary64)
(*.f64 (/.f64 l t) l)
(*.f64 l (/.f64 l t))
(/.f64 (neg.f64 (*.f64 l l)) (neg.f64 t))
(/.f64 (*.f64 l l) t)
(/.f64 (neg.f64 l) (neg.f64 t))
(/.f64 l t)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (*.f64 (/.f64 l t) #s(literal 2 binary64))))
(*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (*.f64 (/.f64 l t) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
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#s(approx (* (pow (sin k) 2) (/ t (cos k))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/315 binary64) t) (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) t) (fma.f64 (*.f64 t #s(literal 1/6 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) t))) #s(literal -1/2 binary64) (fma.f64 (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) t)))) (*.f64 k k) (*.f64 #s(literal 2/45 binary64) t)) (fma.f64 (*.f64 t #s(literal 1/6 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) t))) (*.f64 k k) (*.f64 #s(literal -1/3 binary64) t)) (*.f64 #s(literal -1/2 binary64) t)) (*.f64 k k) t) (*.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 k k)
#s(approx (/ t (cos k)) t)
#s(approx (/ t (cos k)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 k k) t) t))
#s(approx (/ t (cos k)) (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))
#s(approx (/ t (cos k)) (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))
#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 l (pow.f64 k #s(literal 4 binary64))) (*.f64 (/.f64 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)) (pow k 4)) (/.f64 (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 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 (fma.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) t) #s(literal -7/60 binary64) (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (*.f64 (/.f64 l t) l) #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 (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (*.f64 (pow.f64 k #s(literal 4 binary64)) (/.f64 t (*.f64 l 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 (*.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 (/.f64 t (*.f64 l l)) #s(literal -1/3 binary64))) (*.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 (fma.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) (*.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 (/.f64 t (*.f64 l l)) #s(literal -1/3 binary64))) (*.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)) (pow.f64 (/.f64 k l) #s(literal 2 binary64)))
#s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (fma.f64 (pow.f64 (/.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (pow.f64 l #s(literal -2 binary64))) (*.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 (fma.f64 (pow.f64 l #s(literal -2 binary64)) #s(literal 2/45 binary64) (*.f64 (pow.f64 (/.f64 k l) #s(literal 2 binary64)) #s(literal -1/315 binary64))) (*.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 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (*.f64 (/.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 (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 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 (*.f64 (/.f64 l t) l) #s(literal 2 binary64) (*.f64 (*.f64 k k) (fma.f64 (*.f64 (*.f64 k k) #s(literal -2 binary64)) (*.f64 (*.f64 (/.f64 l t) l) #s(literal 7/120 binary64)) (*.f64 (*.f64 (/.f64 l t) l) #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 t) l) #s(literal 7/120 binary64)) (*.f64 (*.f64 (/.f64 l t) l) #s(literal 151/7560 binary64))) (*.f64 k k) (*.f64 (*.f64 (/.f64 l t) l) #s(literal 7/120 binary64)))) (*.f64 k k) (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (*.f64 (/.f64 l t) l) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (*.f64 (pow.f64 k #s(literal 4 binary64)) (/.f64 t (*.f64 l l))))
#s(approx (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (*.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 t (*.f64 l l))) #s(literal 1/6 binary64) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (*.f64 (fma.f64 (fma.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64) (/.f64 (*.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 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 t (*.f64 l l)) #s(literal 31/360 binary64) (/.f64 (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t)) (*.f64 l l))) (*.f64 k k) (*.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 (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)))
#s(approx (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (*.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) #s(literal 1/6 binary64) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) (*.f64 k k)))
#s(approx (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.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 (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) #s(literal 173/5040 binary64) (/.f64 (*.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) (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 (* (* (/ (* t t) l) (/ t l)) (sin k)) (/.f64 (*.f64 k (pow.f64 t #s(literal 3 binary64))) (*.f64 l l)))
#s(approx (* (* (/ (* t t) l) (/ t l)) (sin k)) (*.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) #s(literal -1/6 binary64) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) k))
#s(approx (* (* (/ (* t t) l) (/ t l)) (sin k)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) #s(literal 1/120 binary64) (/.f64 (*.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 (* (* (/ (* t t) l) (/ t l)) (sin k)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) #s(literal -1/5040 binary64) (/.f64 (*.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) (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 (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 (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 #s(literal -7/60 binary64) l) (/.f64 l t) (/.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (*.f64 k k) 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 (*.f64 l l) (*.f64 (*.f64 k k) t)) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t) (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (*.f64 (/.f64 l t) #s(literal 2 binary64))))))
#s(approx (tan k) (tan.f64 k))
#s(approx (+ 1 (/ (* k k) (* t t))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 k k))))

eval92.0ms (1.2%)

Memory
-23.5MiB live, 74.9MiB allocated; 28ms collecting garbage
Compiler

Compiled 24 793 to 2 653 computations (89.3% saved)

prune73.0ms (0.9%)

Memory
44.6MiB live, 134.3MiB allocated; 7ms collecting garbage
Pruning

40 alts after pruning (38 fresh and 2 done)

PrunedKeptTotal
New53413547
Fresh82533
Picked415
Done011
Total54640586
Accuracy
98.9%
Counts
586 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.5%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 1 binary64)) #s(literal 1 binary64))))
44.0%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
27.0%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
52.1%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))))
43.5%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) #s(approx (sin k) k)) #s(approx (tan k) k)) (-.f64 (+.f64 #s(literal 1 binary64) (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 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l))))
89.3%
(/.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)) t) (*.f64 (/.f64 k l) k)) (*.f64 (cos.f64 k) l))))
77.9%
(/.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 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) k) (*.f64 (*.f64 (cos.f64 k) l) l))))
68.5%
(/.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) (/.f64 t (cos.f64 k))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k))))) (*.f64 l l))))
65.0%
(/.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 (*.f64 k k) (/.f64 t (cos.f64 k))) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l l))))
64.7%
(/.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) #s(approx (/ t (cos k)) t)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l l))))
82.9%
(/.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 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l)))))
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 (*.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)))))
48.5%
(/.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) #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 (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
55.0%
(/.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 (*.f64 k k) t) #s(approx (cos k) (fma.f64 #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))))))
78.4%
(/.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 (*.f64 k t)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
75.7%
(/.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 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
84.7%
(/.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) l) (/.f64 t l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
76.0%
(/.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)) #s(approx (/ t (cos k)) t)) (/.f64 k l)) (/.f64 k l))))
85.9%
(/.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 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (/.f64 t (cos.f64 k))) (/.f64 k l)) (/.f64 k l))))
72.9%
(/.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) (cos k)) (*.f64 (*.f64 k k) t)) (*.f64 (/.f64 k l) (/.f64 k l)))))
58.7%
(/.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 (/ (* (* 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)))))
64.5%
(/.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)))))
65.9%
(/.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)))))
70.9%
(/.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 (cos k))) (/ k l)) (*.f64 (fma.f64 (*.f64 (/.f64 t l) #s(literal 1/6 binary64)) (*.f64 k k) (/.f64 t l)) (pow.f64 k #s(literal 3 binary64)))) (/.f64 k l))))
25.4%
#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))))
27.3%
#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))))
48.0%
#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))))
62.8%
#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 (pow.f64 k #s(literal 4 binary64)) t)))
62.1%
#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))))
71.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) l) t) #s(literal 2 binary64)))
65.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l t) l) (pow.f64 k #s(literal 4 binary64))) #s(literal 2 binary64)))
61.2%
#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)))
74.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
74.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
69.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 l t)) #s(literal 2 binary64)))
22.4%
#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)))
19.3%
#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))))
22.4%
#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))))
19.3%
#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 5 591 to 1 744 computations (68.8% saved)

regimes127.0ms (1.6%)

Memory
-32.8MiB live, 202.8MiB allocated; 23ms collecting garbage
Counts
83 → 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 (*.f64 (*.f64 k k) (*.f64 k k))) (/.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) (*.f64 (*.f64 k k) (*.f64 k k))) (/.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 (*.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))))
(/.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) (cos k)) (*.f64 (*.f64 k k) t)) (*.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 k k) t) #s(approx (cos k) (fma.f64 #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))))))
(/.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) #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 (/ (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 (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))) (*.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 (*.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 l t) l) (pow.f64 k #s(literal 4 binary64))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) l) t) #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 k #s(literal 4 binary64)) l) (/.f64 t 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 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (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 #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 (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 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 (*.f64 k t)) (cos.f64 k)) #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 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #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 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (/.f64 (*.f64 (/.f64 k l) 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 #s(approx (* (* (pow (sin k) 2) (/ t (cos k))) (/ k l)) (*.f64 (fma.f64 (*.f64 (/.f64 t l) #s(literal 1/6 binary64)) (*.f64 k k) (/.f64 t l)) (pow.f64 k #s(literal 3 binary64)))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) #s(approx (sin k) k)) #s(approx (tan k) 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) #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)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #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 (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 (*.f64 k k) #s(approx (/ t (cos k)) t)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l l))))
#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))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (/ t (cos k)) t)) (/.f64 k l)) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.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 #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) #s(approx (cos k) #s(literal 1 binary64))) (*.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 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 k k) (/.f64 t (cos.f64 k))) (-.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) (*.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) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (pow.f64 (/.f64 k t) #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 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (/.f64 t (cos.f64 k))) (/.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) 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 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 1 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) (/.f64 (*.f64 k k) (*.f64 t t))) #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)) #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))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #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)) #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 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) 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) (*.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 k k) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) 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 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) k) (*.f64 (*.f64 (cos.f64 k) 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 (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 (*.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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (/.f64 k 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 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) 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 (/.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 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k))) (/.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 k k) l) (/.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 (*.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 (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) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.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 (/.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 t (/.f64 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))))
(/.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))))
(/.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 (/.f64 #s(literal 2 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)) (tan.f64 k))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (/.f64 (sin.f64 k) (cos.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 (pow.f64 (*.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)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.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))))
(/.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 (/.f64 (*.f64 t t) l) (/.f64 t 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
(/.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)) (/.f64 t (cos.f64 k))) (/.f64 k l)) (/.f64 k l))))
Calls

6 calls:

24.0ms
t
23.0ms
l
20.0ms
k
18.0ms
(*.f64 l l)
18.0ms
(*.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
94.2%1(*.f64 l l)
94.2%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)))
94.2%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))))
94.2%1t
94.2%1l
94.2%1k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes122.0ms (1.6%)

Memory
23.6MiB live, 122.6MiB allocated; 7ms collecting garbage
Counts
67 → 3
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 (*.f64 (*.f64 k k) (*.f64 k k))) (/.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) (*.f64 (*.f64 k k) (*.f64 k k))) (/.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 (*.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))))
(/.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) (cos k)) (*.f64 (*.f64 k k) t)) (*.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 k k) t) #s(approx (cos k) (fma.f64 #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))))))
(/.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) #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 (/ (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 (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))) (*.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 (*.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 l t) l) (pow.f64 k #s(literal 4 binary64))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) l) t) #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 k #s(literal 4 binary64)) l) (/.f64 t 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 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (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 #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 (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 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 (*.f64 k t)) (cos.f64 k)) #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 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #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 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (/.f64 (*.f64 (/.f64 k l) 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 #s(approx (* (* (pow (sin k) 2) (/ t (cos k))) (/ k l)) (*.f64 (fma.f64 (*.f64 (/.f64 t l) #s(literal 1/6 binary64)) (*.f64 k k) (/.f64 t l)) (pow.f64 k #s(literal 3 binary64)))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) #s(approx (sin k) k)) #s(approx (tan k) 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) #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)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #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 (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 (*.f64 k k) #s(approx (/ t (cos k)) t)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l l))))
#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))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (/ t (cos k)) t)) (/.f64 k l)) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.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 #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) #s(approx (cos k) #s(literal 1 binary64))) (*.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 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 k k) (/.f64 t (cos.f64 k))) (-.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) (*.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) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (pow.f64 (/.f64 k t) #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 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (/.f64 t (cos.f64 k))) (/.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) 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 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 1 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) (/.f64 (*.f64 k k) (*.f64 t t))) #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)) #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))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #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)) #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 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) 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) (*.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 k k) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) 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 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) k) (*.f64 (*.f64 (cos.f64 k) 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 (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 (*.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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (/.f64 k 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 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) 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 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 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 (/.f64 (*.f64 k (*.f64 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 (/.f64 (*.f64 (/.f64 l t) l) (pow.f64 k #s(literal 4 binary64))) #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 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (/.f64 t (cos.f64 k))) (/.f64 k l)) (/.f64 k l))))
Calls

6 calls:

44.0ms
l
16.0ms
k
16.0ms
t
15.0ms
(*.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)))
14.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
93.2%2(*.f64 l l)
91.5%1t
95.0%3l
96.7%3k
91.5%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)))
91.5%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))))
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes83.0ms (1.1%)

Memory
11.6MiB live, 101.6MiB allocated; 8ms collecting garbage
Counts
47 → 3
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 (*.f64 (*.f64 k k) (*.f64 k k))) (/.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) (*.f64 (*.f64 k k) (*.f64 k k))) (/.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 (*.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))))
(/.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) (cos k)) (*.f64 (*.f64 k k) t)) (*.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 k k) t) #s(approx (cos k) (fma.f64 #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))))))
(/.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) #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 (/ (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 (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))) (*.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 (*.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 l t) l) (pow.f64 k #s(literal 4 binary64))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) l) t) #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 k #s(literal 4 binary64)) l) (/.f64 t 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 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (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 #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 (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 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 (*.f64 k t)) (cos.f64 k)) #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 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #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 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (/.f64 (*.f64 (/.f64 k l) 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 #s(approx (* (* (pow (sin k) 2) (/ t (cos k))) (/ k l)) (*.f64 (fma.f64 (*.f64 (/.f64 t l) #s(literal 1/6 binary64)) (*.f64 k k) (/.f64 t l)) (pow.f64 k #s(literal 3 binary64)))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) #s(approx (sin k) k)) #s(approx (tan k) 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) #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)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #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 (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 (*.f64 k k) #s(approx (/ t (cos k)) t)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l l))))
#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))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (/ t (cos k)) t)) (/.f64 k l)) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.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 #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) #s(approx (cos k) #s(literal 1 binary64))) (*.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 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 k k) (/.f64 t (cos.f64 k))) (-.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) (*.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) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))))
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 (*.f64 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 (/.f64 (*.f64 (/.f64 l t) l) (pow.f64 k #s(literal 4 binary64))) #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 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (-.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:

24.0ms
k
13.0ms
(/.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))))
12.0ms
t
12.0ms
l
10.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
77.7%2t
78.9%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)))
79.5%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))))
80.8%2(*.f64 l l)
80.8%2l
86.7%3k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes18.0ms (0.2%)

Memory
-18.4MiB live, 30.5MiB allocated; 8ms collecting garbage
Counts
44 → 3
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 (*.f64 (*.f64 k k) (*.f64 k k))) (/.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) (*.f64 (*.f64 k k) (*.f64 k k))) (/.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 (*.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))))
(/.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) (cos k)) (*.f64 (*.f64 k k) t)) (*.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 k k) t) #s(approx (cos k) (fma.f64 #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))))))
(/.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) #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 (/ (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 (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))) (*.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 (*.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 l t) l) (pow.f64 k #s(literal 4 binary64))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) l) t) #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 k #s(literal 4 binary64)) l) (/.f64 t 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 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (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 #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 (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 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 (*.f64 k t)) (cos.f64 k)) #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 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #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 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (/.f64 (*.f64 (/.f64 k l) 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 #s(approx (* (* (pow (sin k) 2) (/ t (cos k))) (/ k l)) (*.f64 (fma.f64 (*.f64 (/.f64 t l) #s(literal 1/6 binary64)) (*.f64 k k) (/.f64 t l)) (pow.f64 k #s(literal 3 binary64)))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) #s(approx (sin k) k)) #s(approx (tan k) 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) #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)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #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 (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 (*.f64 k k) #s(approx (/ t (cos k)) t)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l l))))
#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))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (/ t (cos k)) t)) (/.f64 k l)) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.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 #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) #s(approx (cos k) #s(literal 1 binary64))) (*.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 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)))))
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 (*.f64 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 (/.f64 (*.f64 (/.f64 l t) l) (pow.f64 k #s(literal 4 binary64))) #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 (*.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)))))
Calls

1 calls:

11.0ms
k
Results
AccuracySegmentsBranch
86.6%3k
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes73.0ms (0.9%)

Memory
-6.0MiB live, 128.4MiB allocated; 19ms collecting garbage
Counts
43 → 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 (*.f64 (*.f64 k k) (*.f64 k k))) (/.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) (*.f64 (*.f64 k k) (*.f64 k k))) (/.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 (*.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))))
(/.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) (cos k)) (*.f64 (*.f64 k k) t)) (*.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 k k) t) #s(approx (cos k) (fma.f64 #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))))))
(/.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) #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 (/ (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 (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))) (*.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 (*.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 l t) l) (pow.f64 k #s(literal 4 binary64))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) l) t) #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 k #s(literal 4 binary64)) l) (/.f64 t 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 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (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 #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 (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 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 (*.f64 k t)) (cos.f64 k)) #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 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #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 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (/.f64 (*.f64 (/.f64 k l) 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 #s(approx (* (* (pow (sin k) 2) (/ t (cos k))) (/ k l)) (*.f64 (fma.f64 (*.f64 (/.f64 t l) #s(literal 1/6 binary64)) (*.f64 k k) (/.f64 t l)) (pow.f64 k #s(literal 3 binary64)))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) #s(approx (sin k) k)) #s(approx (tan k) 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) #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)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #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 (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 (*.f64 k k) #s(approx (/ t (cos k)) t)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l l))))
#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))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (/ t (cos k)) t)) (/.f64 k l)) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.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 #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) #s(approx (cos k) #s(literal 1 binary64))) (*.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 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #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 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (/ t (cos k)) t)) (/.f64 k l)) (/.f64 k l))))
Calls

6 calls:

15.0ms
k
15.0ms
t
12.0ms
(/.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))))
11.0ms
l
9.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
76.0%1t
76.0%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)))
76.0%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))))
76.0%1(*.f64 l l)
76.0%1l
77.6%2k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes67.0ms (0.9%)

Memory
14.5MiB live, 123.1MiB allocated; 16ms collecting garbage
Counts
40 → 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 (*.f64 (*.f64 k k) (*.f64 k k))) (/.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) (*.f64 (*.f64 k k) (*.f64 k k))) (/.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 (*.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))))
(/.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) (cos k)) (*.f64 (*.f64 k k) t)) (*.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 k k) t) #s(approx (cos k) (fma.f64 #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))))))
(/.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) #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 (/ (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 (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))) (*.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 (*.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 l t) l) (pow.f64 k #s(literal 4 binary64))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) l) t) #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 k #s(literal 4 binary64)) l) (/.f64 t 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 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (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 #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 (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 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 (*.f64 k t)) (cos.f64 k)) #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 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #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 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (/.f64 (*.f64 (/.f64 k l) 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 #s(approx (* (* (pow (sin k) 2) (/ t (cos k))) (/ k l)) (*.f64 (fma.f64 (*.f64 (/.f64 t l) #s(literal 1/6 binary64)) (*.f64 k k) (/.f64 t l)) (pow.f64 k #s(literal 3 binary64)))) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) #s(approx (sin k) k)) #s(approx (tan k) 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) #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)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #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 (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 (*.f64 k k) #s(approx (/ t (cos k)) t)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l l))))
#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))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
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 (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
Calls

6 calls:

18.0ms
l
10.0ms
(*.f64 l l)
10.0ms
t
10.0ms
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))))
Results
AccuracySegmentsBranch
75.7%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))))
75.7%1(*.f64 l l)
75.7%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)))
75.7%1t
75.7%1l
75.7%1k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes38.0ms (0.5%)

Memory
-27.2MiB live, 65.8MiB allocated; 4ms collecting garbage
Counts
23 → 3
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 (*.f64 (*.f64 k k) (*.f64 k k))) (/.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) (*.f64 (*.f64 k k) (*.f64 k k))) (/.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 (*.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))))
(/.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) (cos k)) (*.f64 (*.f64 k k) t)) (*.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 k k) t) #s(approx (cos k) (fma.f64 #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))))))
(/.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) #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 (/ (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 (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))) (*.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 (*.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 l t) l) (pow.f64 k #s(literal 4 binary64))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) l) t) #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 k #s(literal 4 binary64)) l) (/.f64 t 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 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (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 #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 (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 l l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
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) (cos k)) (*.f64 (*.f64 k k) t)) (*.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 (/.f64 (*.f64 (/.f64 l t) l) (pow.f64 k #s(literal 4 binary64))) #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 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
Calls

6 calls:

7.0ms
k
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)))
6.0ms
l
6.0ms
t
5.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
72.9%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)))
72.9%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))))
74.9%2(*.f64 l l)
72.9%1t
74.9%2l
76.6%3k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes17.0ms (0.2%)

Memory
27.0MiB live, 27.0MiB allocated; 0ms collecting garbage
Counts
20 → 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 (*.f64 (*.f64 k k) (*.f64 k k))) (/.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) (*.f64 (*.f64 k k) (*.f64 k k))) (/.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 (*.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))))
(/.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) (cos k)) (*.f64 (*.f64 k k) t)) (*.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 k k) t) #s(approx (cos k) (fma.f64 #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))))))
(/.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) #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 (/ (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 (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))) (*.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 (*.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 l t) l) (pow.f64 k #s(literal 4 binary64))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) l) t) #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 k #s(literal 4 binary64)) l) (/.f64 t 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 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (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 #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
(/.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) #s(approx (cos k) (fma.f64 #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))))))
(/.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) (cos k)) (*.f64 (*.f64 k k) t)) (*.f64 (/.f64 k l) (/.f64 k l)))))
Calls

3 calls:

5.0ms
k
5.0ms
l
5.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
74.4%2(*.f64 l l)
74.4%2l
74.5%2k
Compiler

Compiled 5 to 10 computations (-100% saved)

regimes67.0ms (0.9%)

Memory
-33.5MiB live, 17.9MiB allocated; 5ms collecting garbage
Counts
9 → 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 (*.f64 (*.f64 k k) (*.f64 k k))) (/.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) (*.f64 (*.f64 k k) (*.f64 k k))) (/.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 (*.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))))
(/.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) (cos k)) (*.f64 (*.f64 k k) t)) (*.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 (/ (* (pow (sin k) 2) t) (cos k)) (*.f64 (*.f64 k k) t)) (*.f64 (/.f64 k l) (/.f64 k l)))))
Calls

3 calls:

60.0ms
(*.f64 l l)
3.0ms
k
3.0ms
l
Results
AccuracySegmentsBranch
72.9%1(*.f64 l l)
72.9%1l
72.9%1k
Compiler

Compiled 5 to 10 computations (-100% saved)

regimes16.0ms (0.2%)

Memory
28.6MiB live, 28.6MiB allocated; 0ms collecting garbage
Counts
8 → 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 (*.f64 (*.f64 k k) (*.f64 k k))) (/.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) (*.f64 (*.f64 k k) (*.f64 k k))) (/.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 (*.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
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 l t)) #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 #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:

3.0ms
k
3.0ms
l
3.0ms
t
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
69.4%1k
69.4%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)))
69.4%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))))
71.3%2t
71.1%2l
71.1%2(*.f64 l l)
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes7.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB 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 (*.f64 (*.f64 k k) (*.f64 k k))) (/.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) (*.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 (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 l t)) #s(literal 2 binary64)))
Calls

3 calls:

2.0ms
l
2.0ms
t
2.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
69.4%1(*.f64 l l)
69.4%1l
69.4%1t
Compiler

Compiled 5 to 10 computations (-100% saved)

regimes13.0ms (0.2%)

Memory
-25.9MiB live, 20.4MiB allocated; 3ms 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 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
Calls

6 calls:

4.0ms
l
2.0ms
k
2.0ms
t
2.0ms
(*.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)))
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
22.4%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))))
22.4%1t
22.4%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)))
22.4%1(*.f64 l l)
22.4%1k
22.4%1l
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes9.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated; 0ms collecting garbage
Counts
3 → 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))))
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:

2.0ms
k
1.0ms
t
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
(*.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
22.4%1(*.f64 l l)
22.4%1l
22.4%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)))
22.4%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))))
22.4%1t
22.4%1k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes10.0ms (0.1%)

Memory
-31.7MiB live, 15.2MiB allocated; 1ms 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:

5.0ms
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
k
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
19.3%1(*.f64 l l)
19.3%1l
19.3%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)))
19.3%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))))
19.3%1t
19.3%1k
Compiler

Compiled 54 to 50 computations (7.4% saved)

bsearch65.0ms (0.8%)

Memory
34.8MiB live, 79.8MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
1.954290322383855e-10
1.2816988145461811e-6
27.0ms
2.0430845383780866e-77
1.6407626673839221e-75
Samples
22.0ms77×2valid
9.0ms92×0valid
9.0ms51×1valid
7.0ms20×3valid
Compiler

Compiled 1 316 to 933 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
adjust: 8.0ms (20.9% of total)
ival-mult!: 8.0ms (20.9% of total)
ival-pow2: 6.0ms (15.7% of total)
ival-div!: 6.0ms (15.7% of total)
ival-pow: 3.0ms (7.9% of total)
ival-tan: 2.0ms (5.2% of total)
ival-sin: 2.0ms (5.2% of total)
ival-add!: 1.0ms (2.6% of total)
ival-sub!: 1.0ms (2.6% of total)

bsearch3.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.954290322383855e-10
1.2816988145461811e-6
1.0ms
2.0430845383780866e-77
1.6407626673839221e-75
Compiler

Compiled 1 316 to 941 computations (28.5% saved)

bsearch3.0ms (0%)

Memory
8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.954290322383855e-10
1.2816988145461811e-6
1.0ms
2.0430845383780866e-77
1.6407626673839221e-75
Compiler

Compiled 1 316 to 941 computations (28.5% saved)

bsearch27.0ms (0.3%)

Memory
-20.6MiB live, 26.8MiB allocated; 13ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
3.388707097358098e+101
5.1843117843213817e+101
Samples
6.0ms38×0valid
4.0ms13×2valid
3.0ms13×1valid
Compiler

Compiled 412 to 277 computations (32.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-tan: 2.0ms (18.2% of total)
ival-sin: 2.0ms (18.2% of total)
ival-mult!: 2.0ms (18.2% of total)
adjust: 1.0ms (9.1% of total)
ival-pow2: 1.0ms (9.1% of total)
ival-div!: 1.0ms (9.1% of total)
ival-pow: 1.0ms (9.1% of total)
ival-add!: 0.0ms (0% of total)
ival-sub!: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.954290322383855e-10
1.2816988145461811e-6
1.0ms
2.0430845383780866e-77
1.6407626673839221e-75
Compiler

Compiled 1 302 to 917 computations (29.6% saved)

bsearch35.0ms (0.4%)

Memory
14.0MiB live, 57.2MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
32.0ms
4.9531893836531924e+150
2.2971313107309906e+154
Samples
19.0ms100×0valid
5.0ms22×1valid
2.0ms2valid
Compiler

Compiled 884 to 569 computations (35.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sin: 5.0ms (26.9% of total)
ival-tan: 4.0ms (21.5% of total)
ival-mult!: 3.0ms (16.1% of total)
ival-pow2: 2.0ms (10.8% of total)
ival-div!: 2.0ms (10.8% of total)
ival-pow: 2.0ms (10.8% of total)
adjust: 1.0ms (5.4% of total)
ival-add!: 0.0ms (0% of total)
ival-sub!: 0.0ms (0% of total)

bsearch35.0ms (0.5%)

Memory
7.2MiB live, 53.8MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
32.0ms
1.027698062422561e+57
4.6386175756258955e+58
Samples
8.0ms20×3valid
7.0ms46×0valid
7.0ms26×2valid
4.0ms20×1valid
Compiler

Compiled 686 to 459 computations (33.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
adjust: 4.0ms (17.7% of total)
ival-mult!: 4.0ms (17.7% of total)
ival-pow2: 3.0ms (13.3% of total)
ival-div!: 3.0ms (13.3% of total)
ival-sin: 3.0ms (13.3% of total)
ival-add!: 2.0ms (8.8% of total)
ival-tan: 2.0ms (8.8% of total)
ival-pow: 1.0ms (4.4% of total)
ival-sub!: 1.0ms (4.4% of total)

derivations496.0ms (6.4%)

Memory
-42.2MiB live, 439.5MiB allocated; 45ms collecting garbage
Stop Event
fuel
Compiler

Compiled 1 276 to 158 computations (87.6% saved)

preprocess313.0ms (4%)

Memory
44.2MiB live, 427.5MiB allocated; 67ms collecting garbage
Remove

(negabs t)

(abs k)

(abs l)

Compiler

Compiled 12 016 to 4 648 computations (61.3% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...