Toniolo and Linder, Equation (10-)

Time bar (total: 9.1s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze730.0ms (8%)

Memory
20.1MiB live, 968.0MiB allocated; 161ms 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)

sample3.2s (34.7%)

Memory
59.2MiB live, 3 872.1MiB allocated; 672ms collecting garbage
Samples
960.0ms4 292×0valid
671.0ms1 546×2valid
522.0ms1 330×3valid
405.0ms1 076×1valid
5.0ms12×4valid
Precisions
Click to see histograms. Total time spent on operations: 2.0s
ival-mult!: 345.0ms (17.2% of total)
adjust: 314.0ms (15.7% of total)
ival-pow2: 296.0ms (14.8% of total)
ival-div!: 282.0ms (14.1% of total)
ival-tan: 232.0ms (11.6% of total)
ival-pow: 221.0ms (11% of total)
ival-sin: 215.0ms (10.7% of total)
ival-add!: 60.0ms (3% of total)
ival-sub!: 39.0ms (1.9% of total)
Bogosity

explain455.0ms (5%)

Memory
-16.3MiB live, 518.1MiB allocated; 55ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
860-0-(*.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)))
610-1(1.4076702252032944e-18 -8.300862660620284e-158 -2.112063214929232e-41)(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
480-0-(-.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))
10-0-(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
00-0-k
00-0-(/.f64 k t)
00-0-t
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-(tan.f64 k)
00-0-(pow.f64 (/.f64 k t) #s(literal 2 binary64))
00-0-(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
00-0-(*.f64 l l)
00-0-(sin.f64 k)
00-0-(pow.f64 t #s(literal 3 binary64))
00-0-#s(literal 2 binary64)
00-0-l
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))cancellation480
*.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*o420
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))underflow88
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))underflow111
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))underflow97
(pow.f64 t #s(literal 3 binary64))underflow79
(*.f64 l l)underflow55
(/.f64 k t)overflow34
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))overflow65
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))overflow65
(pow.f64 (/.f64 k t) #s(literal 2 binary64))overflow65
*.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*u320
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))overflow74
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))overflow59
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))overflow67
(pow.f64 t #s(literal 3 binary64))overflow83
(*.f64 l l)overflow59
(/.f64 k t)underflow27
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))underflow78
(pow.f64 (/.f64 k t) #s(literal 2 binary64))underflow78
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))o/o200
(pow.f64 t #s(literal 3 binary64))overflow83
(*.f64 l l)overflow59
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))u/u170
(pow.f64 t #s(literal 3 binary64))underflow79
(*.f64 l l)underflow55
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))n/u100
(*.f64 l l)underflow55
*.f64(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))n*o80
*.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 (*.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*o50
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))o/n50
(pow.f64 t #s(literal 3 binary64))overflow83
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))n/o50
(*.f64 l l)overflow59
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))u/n30
(pow.f64 t #s(literal 3 binary64))underflow79
/.f64(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))n/o10
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))overflow59
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))overflow67
(*.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)))overflow63
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))overflow65
(/.f64 k t)overflow34
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))overflow74
(pow.f64 t #s(literal 3 binary64))overflow83
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))overflow65
(*.f64 l l)overflow59
(pow.f64 (/.f64 k t) #s(literal 2 binary64))overflow65
Confusion
Predicted +Predicted -
+1550
-2576
Precision
0.8611111111111112
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+15500
-25076
Precision?
0.8611111111111112
Recall?
1.0
Freqs
test
numberfreq
076
1151
228
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
112.0ms260×0valid
44.0ms112×2valid
37.0ms90×3valid
12.0ms50×1valid
Compiler

Compiled 265 to 61 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 171.0ms
ival-sin: 51.0ms (29.8% of total)
ival-mult!: 48.0ms (28% of total)
ival-div!: 19.0ms (11.1% of total)
adjust: 17.0ms (9.9% of total)
ival-pow2: 11.0ms (6.4% of total)
ival-tan: 10.0ms (5.8% of total)
ival-pow: 9.0ms (5.3% of total)
ival-add!: 3.0ms (1.8% of total)
ival-sub!: 3.0ms (1.8% of total)

preprocess185.0ms (2%)

Memory
42.0MiB live, 229.5MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

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

(abs l)

(abs k)

(negabs t)

Compiler

Compiled 25 to 19 computations (24% saved)

eval0.0ms (0%)

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

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.5%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Compiler

Compiled 25 to 19 computations (24% saved)

series89.0ms (1%)

Memory
-38.1MiB live, 143.2MiB allocated; 51ms 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
37.0ms
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))
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 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
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))
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))

rewrite194.0ms (2.1%)

Memory
10.7MiB live, 271.2MiB allocated; 69ms 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)))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 k k (*.f64 t t)))) (neg.f64 (neg.f64 (*.f64 t t))))
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(/.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))))

eval21.0ms (0.2%)

Memory
-11.1MiB live, 34.9MiB allocated; 5ms collecting garbage
Compiler

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

prune35.0ms (0.4%)

Memory
-12.9MiB live, 39.9MiB allocated; 21ms collecting garbage
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New18120201
Fresh000
Picked101
Done000
Total18220202
Accuracy
85.2%
Counts
202 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.5%
(/.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 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
34.0%
(/.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 #s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
27.4%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
45.7%
(/.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)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))))
39.5%
(/.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))))
51.8%
(/.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))))
48.6%
(/.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))))
52.7%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 t) #s(literal 3 binary64)) (*.f64 (log.f64 l) #s(literal 2 binary64)))) (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))))
39.9%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 k l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
40.0%
(/.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))))
40.7%
(/.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))))
58.2%
(/.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)))))
58.2%
(/.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)))))
58.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
64.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
76.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
25.6%
#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))))
45.2%
#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))))
58.2%
#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)))
76.8%
#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 1 522 to 1 058 computations (30.5% saved)

series137.0ms (1.5%)

Memory
2.2MiB live, 140.2MiB allocated; 11ms collecting garbage
Counts
48 → 120
Calls
Call 1
Inputs
#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 (/.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) (*.f64 (*.f64 k k) t))
#s(literal 2 binary64)
(*.f64 (*.f64 k k) t)
(*.f64 k k)
k
t
(/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(*.f64 (cos.f64 k) (*.f64 l l))
(cos.f64 k)
(*.f64 l l)
l
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t))
(/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64)))
(pow.f64 k #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (*.f64 l l) t)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 k k))
#s(literal -2 binary64)
(*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64))
#s(literal 7/120 binary64)
(*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
(pow.f64 t #s(literal 3 binary64))
#s(literal 3 binary64)
(tan.f64 k)
(-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #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 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 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 (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (/ 2 (* (* k k) t)) #s(hole binary64 (/ 2 (* (pow k 2) t))))
#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)) (- (+ 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 (- (+ 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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ (* (/ k t) (/ k t)) 1) 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)) (- (+ (* (/ k t) (/ k t)) 1) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (- (+ (* (/ k t) (/ k t)) 1) 1) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ (* (/ k t) (/ k t)) 1) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ (* (/ k t) (/ k t)) 1) #s(hole binary64 (/ (+ (pow k 2) (pow t 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 (+ (* (/ k t) (/ k t)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ k t) (/ k t)) 1) #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 (/ (* (cos k) (* l l)) (pow (sin k) 2)) #s(hole binary64 (/ (* (pow l 2) (cos k)) (pow (sin k) 2))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (* (pow l 2) (cos k))))
#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 (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4))))
#s(approx (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (/ (pow l 2) t)) (+ (* -1/3 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t))))) (+ (* -1/315 (/ (pow l 2) t)) (* 2/45 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))))) (* 2 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))))))) (pow k 4))))
#s(approx (* k k) #s(hole binary64 (pow k 2)))
#s(approx k #s(hole binary64 k))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (+ (* 1/24 (pow l 2)) (* (pow k 2) (- (* -1/720 (pow l 2)) (+ (* -1/3 (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2))))) (+ (* -1/315 (pow l 2)) (* 2/45 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2))))))))) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (pow l 2)))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (pow l 2))))
#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) #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)) (- (+ 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 (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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ (* (/ k t) (/ k t)) 1) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ (* (/ k t) (/ k t)) 1) 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)) (- (+ (* (/ k t) (/ k t)) 1) 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)) (- (+ (* (/ k t) (/ k t)) 1) 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)) (- (+ (* (/ k t) (/ k t)) 1) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ (* (/ k t) (/ k t)) 1) 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)) (- (+ (* (/ k t) (/ k t)) 1) 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)) (- (+ (* (/ k t) (/ k t)) 1) 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 (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))))))
#s(approx (+ (* (/ k t) (/ k t)) 1) #s(hole binary64 (* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))))
Calls

9 calls:

TimeVariablePointExpression
38.0ms
l
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) (/ 2 (* (* k k) t)) 2 (* (* k k) t) (* k k) k t (/ (* (cos k) (* l l)) (pow (sin k) 2)) (* (cos k) (* l l)) (cos k) (* l l) l (pow (sin k) 2) (sin k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (pow k 4)) (/ (* l l) t)) (/ 2 (pow k 4)) (pow k 4) 4 (/ (* l l) t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* -2 (* k k)) -2 (* (/ (* l l) t) 7/120) 7/120 (* (/ (* l l) t) -1/3) -1/3 (* (/ (* l l) t) 2) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) 3 (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ (* (/ k t) (/ k t)) 1) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ (* (/ k t) (/ k t)) 1) 1)) (- (+ (* (/ k t) (/ k t)) 1) 1) (+ (* (/ k t) (/ k t)) 1) (/ k t))
18.0ms
t
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) (/ 2 (* (* k k) t)) 2 (* (* k k) t) (* k k) k t (/ (* (cos k) (* l l)) (pow (sin k) 2)) (* (cos k) (* l l)) (cos k) (* l l) l (pow (sin k) 2) (sin k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (pow k 4)) (/ (* l l) t)) (/ 2 (pow k 4)) (pow k 4) 4 (/ (* l l) t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* -2 (* k k)) -2 (* (/ (* l l) t) 7/120) 7/120 (* (/ (* l l) t) -1/3) -1/3 (* (/ (* l l) t) 2) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) 3 (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ (* (/ k t) (/ k t)) 1) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ (* (/ k t) (/ k t)) 1) 1)) (- (+ (* (/ k t) (/ k t)) 1) 1) (+ (* (/ k t) (/ k t)) 1) (/ k t))
11.0ms
t
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) (/ 2 (* (* k k) t)) 2 (* (* k k) t) (* k k) k t (/ (* (cos k) (* l l)) (pow (sin k) 2)) (* (cos k) (* l l)) (cos k) (* l l) l (pow (sin k) 2) (sin k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (pow k 4)) (/ (* l l) t)) (/ 2 (pow k 4)) (pow k 4) 4 (/ (* l l) t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* -2 (* k k)) -2 (* (/ (* l l) t) 7/120) 7/120 (* (/ (* l l) t) -1/3) -1/3 (* (/ (* l l) t) 2) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) 3 (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ (* (/ k t) (/ k t)) 1) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ (* (/ k t) (/ k t)) 1) 1)) (- (+ (* (/ k t) (/ k t)) 1) 1) (+ (* (/ k t) (/ k t)) 1) (/ k t))
10.0ms
t
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) (/ 2 (* (* k k) t)) 2 (* (* k k) t) (* k k) k t (/ (* (cos k) (* l l)) (pow (sin k) 2)) (* (cos k) (* l l)) (cos k) (* l l) l (pow (sin k) 2) (sin k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (pow k 4)) (/ (* l l) t)) (/ 2 (pow k 4)) (pow k 4) 4 (/ (* l l) t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* -2 (* k k)) -2 (* (/ (* l l) t) 7/120) 7/120 (* (/ (* l l) t) -1/3) -1/3 (* (/ (* l l) t) 2) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) 3 (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ (* (/ k t) (/ k t)) 1) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ (* (/ k t) (/ k t)) 1) 1)) (- (+ (* (/ k t) (/ k t)) 1) 1) (+ (* (/ k t) (/ k t)) 1) (/ k t))
9.0ms
k
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) (/ 2 (* (* k k) t)) 2 (* (* k k) t) (* k k) k t (/ (* (cos k) (* l l)) (pow (sin k) 2)) (* (cos k) (* l l)) (cos k) (* l l) l (pow (sin k) 2) (sin k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (pow k 4)) (/ (* l l) t)) (/ 2 (pow k 4)) (pow k 4) 4 (/ (* l l) t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* -2 (* k k)) -2 (* (/ (* l l) t) 7/120) 7/120 (* (/ (* l l) t) -1/3) -1/3 (* (/ (* l l) t) 2) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) 3 (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ (* (/ k t) (/ k t)) 1) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ (* (/ k t) (/ k t)) 1) 1)) (- (+ (* (/ k t) (/ k t)) 1) 1) (+ (* (/ k t) (/ k t)) 1) (/ k t))

rewrite223.0ms (2.4%)

Memory
50.2MiB live, 284.7MiB allocated; 78ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05314779
06034471
129664383
084254277
Stop Event
iter limit
node limit
iter limit
Counts
168 → 578
Calls
Call 1
Inputs
#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 (/.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) (*.f64 (*.f64 k k) t))
#s(literal 2 binary64)
(*.f64 (*.f64 k k) t)
(*.f64 k k)
k
t
(/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(*.f64 (cos.f64 k) (*.f64 l l))
(cos.f64 k)
(*.f64 l l)
l
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (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)
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ (* (/ k t) (/ k t)) 1) 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)) (- (+ (* (/ k t) (/ k t)) 1) 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)) (- (+ (* (/ k t) (/ k t)) 1) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ (* (/ k t) (/ k t)) 1) 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)) (- (+ (* (/ k t) (/ k t)) 1) 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)) (- (+ (* (/ k t) (/ k t)) 1) 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 (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))))))
#s(approx (+ (* (/ k t) (/ k t)) 1) #s(hole binary64 (* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 k t))))
(*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 k t)))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) t) (pow.f64 k #s(literal -2 binary64))) (sin.f64 k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (sin.f64 k)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) t))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
(*.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 k k)))
(*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) t) (pow.f64 k #s(literal -2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) t) (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))
(/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l))) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (cos.f64 k) l) l (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 k k) t)))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) t) (pow.f64 k #s(literal -2 binary64))) (*.f64 (*.f64 (cos.f64 k) l) l))) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 k) l) l))) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (/.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) t))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) #s(literal -2 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 k k) t))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 k k) t)))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (/.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal -2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 k k) t))))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 t (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 (neg.f64 (*.f64 (*.f64 k k) t)) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (neg.f64 (*.f64 (*.f64 k k) t)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 (*.f64 (*.f64 k k) t) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
(/.f64 (*.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)))) (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)))) (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k k) t))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) t) (pow.f64 k #s(literal -2 binary64))) (*.f64 (*.f64 (cos.f64 k) l) l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 l (*.f64 k k)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 k k)) (/.f64 l (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cos.f64 k) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 l l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cos.f64 k) (*.f64 k k)) (/.f64 (*.f64 l l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (*.f64 l l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 (cos.f64 k) (*.f64 k k)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 l k) (/.f64 l k)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 l (*.f64 k k)) (/.f64 l t)) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 l k) (/.f64 l k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(fma.f64 (*.f64 l l) (/.f64 (cos.f64 k) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 #s(literal 1 binary64) (*.f64 k t)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (pow.f64 t #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) t) (pow.f64 k #s(literal -2 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k))) (neg.f64 t))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (*.f64 k k) #s(literal -2 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 (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) (*.f64 k k)) (/.f64 (*.f64 l l) 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) (*.f64 k k)) (/.f64 (*.f64 l l) 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))))
#s(approx (+ 1 (pow (/ k t) 2)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 k k))))

eval98.0ms (1.1%)

Memory
7.2MiB live, 188.5MiB allocated; 47ms collecting garbage
Compiler

Compiled 43 560 to 3 526 computations (91.9% saved)

prune60.0ms (0.7%)

Memory
-42.7MiB live, 151.1MiB allocated; 14ms collecting garbage
Pruning

34 alts after pruning (34 fresh and 0 done)

PrunedKeptTotal
New86034894
Fresh15015
Picked505
Done000
Total88034914
Accuracy
97.6%
Counts
914 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.4%
(/.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 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 0 binary64)))
24.3%
(/.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))))
39.5%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
27.4%
(/.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))))
51.8%
(/.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 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
48.6%
(/.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))))
39.9%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 k l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (tan.f64 k)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
40.7%
(/.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 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
89.0%
(/.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) (*.f64 (cos.f64 k) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))))
87.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (fma.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 l (*.f64 k k)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
25.7%
#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 l (/.f64 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))))
27.6%
#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))))
45.2%
#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))))
76.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
91.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
75.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))))
60.6%
#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)))
76.8%
#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 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k k) t)))
60.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
60.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
91.2%
#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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k))))
58.2%
#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)))
72.1%
#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)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
64.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
76.8%
#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 (cos.f64 k) (/.f64 (*.f64 l l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
33.9%
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
70.7%
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k)))))
78.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
58.0%
#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)))
78.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 k t))))
89.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(literal 2 binary64)))
65.0%
#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)))
78.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 #s(literal 1 binary64) (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
16.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
Compiler

Compiled 2 978 to 1 986 computations (33.3% saved)

series100.0ms (1.1%)

Memory
26.5MiB live, 167.1MiB allocated; 6ms collecting garbage
Counts
48 → 144
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64))
(*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k))
(/.f64 (*.f64 (cos.f64 k) l) k)
(*.f64 (cos.f64 k) l)
(cos.f64 k)
k
l
(/.f64 l k)
#s(literal 4 binary64)
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
#s(literal 2 binary64)
t
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t)))
(*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))
#s(literal -7/60 binary64)
(/.f64 (*.f64 l l) t)
(*.f64 l l)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (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 (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)))
(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)))
#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 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))
#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 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t))
(*.f64 (*.f64 k k) t)
(/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))
(*.f64 (cos.f64 k) (*.f64 l l))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))
(cos.f64 (*.f64 #s(literal 2 binary64) k))
(*.f64 #s(literal 2 binary64) k)
#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 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k k) t)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k k) t))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(*.f64 (*.f64 (cos.f64 k) l) l)
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (pow (sin k) 2) t) 2) #s(hole binary64 (* 2 (* t (pow (sin k) 2)))))
#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 (+ (* (+ (* (* -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) -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 (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))))
#s(approx (/ 2 (* (* k k) t)) #s(hole binary64 (/ 2 (* (pow k 2) t))))
#s(approx (* (* k k) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k k) t)) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* -1 (/ (+ (* -2 (pow l 2)) (* (pow k 2) (+ (* 7/60 (* (pow k 2) (pow l 2))) (* 1/3 (pow l 2))))) (* (pow k 4) t)))))
#s(approx (+ (* (+ (* (* -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 (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (* 4 (/ (* (pow l 2) (cos k)) (pow k 2)))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (* (pow l 2) (cos k)) (pow k 2))))
#s(approx (/ (* (cos k) l) k) #s(hole binary64 (/ (* l (cos k)) k)))
#s(approx (* (cos k) l) #s(hole binary64 (* l (cos k))))
#s(approx l #s(hole binary64 l))
#s(approx (/ l k) #s(hole binary64 (/ l 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 (/ (* (pow l 2) (+ (* (pow k 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t)))) (pow k 4))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx (+ (* (+ (* (* -2 (* 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 (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k))))) #s(hole binary64 (/ (* (pow l 2) (cos k)) (- 1/2 (* 1/2 (cos (* 2 k)))))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (* (pow l 2) (cos k))))
#s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (pow (sin k) 2)))))
#s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) #s(hole binary64 (/ (* (pow l 2) (cos k)) (pow (sin k) 2))))
#s(approx (* (* (cos k) l) l) #s(hole binary64 (* (pow l 2) (cos 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) (* (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 (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (/ (pow l 2) t)) (+ (* -1/3 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t))))) (+ (* -1/315 (/ (pow l 2) t)) (* 2/45 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))))) (* 2 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))))))) (pow k 4))))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (* 4 (/ (pow l 2) (pow k 2)))))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (/ (+ (* -2 (* (pow k 2) (pow l 2))) (* 4 (pow l 2))) (pow k 2))))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (/ (+ (* 4 (pow l 2)) (* (pow k 2) (+ (* -2 (pow l 2)) (* 1/6 (* (pow k 2) (pow l 2)))))) (pow k 2))))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (/ (+ (* 4 (pow l 2)) (* (pow k 2) (+ (* -2 (pow l 2)) (* (pow k 2) (+ (* -1/180 (* (pow k 2) (pow l 2))) (* 1/6 (pow l 2))))))) (pow k 2))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2)) (pow k 2))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2)) (pow k 2))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (cos k) l) k) #s(hole binary64 (/ l k)))
#s(approx (/ (* (cos k) l) k) #s(hole binary64 (/ (+ l (* -1/2 (* (pow k 2) l))) k)))
#s(approx (/ (* (cos k) l) k) #s(hole binary64 (/ (+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l))))) k)))
#s(approx (/ (* (cos k) l) k) #s(hole binary64 (/ (+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l)))))) k)))
#s(approx (* (cos k) l) #s(hole binary64 l))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* -1/2 (* (pow k 2) l)))))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l)))))))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l))))))))
#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 k #s(hole binary64 k))
#s(approx (* (* (pow (sin k) 2) t) 2) #s(hole binary64 (* 2 (* (pow k 2) t))))
#s(approx (* (* (pow (sin k) 2) t) 2) #s(hole binary64 (* (pow k 2) (+ (* -2/3 (* (pow k 2) t)) (* 2 t)))))
#s(approx (* (* (pow (sin k) 2) t) 2) #s(hole binary64 (* (pow k 2) (+ (* 2 t) (* (pow k 2) (+ (* -2/3 t) (* 4/45 (* (pow k 2) t))))))))
#s(approx (* (* (pow (sin k) 2) t) 2) #s(hole binary64 (* (pow k 2) (+ (* 2 t) (* (pow k 2) (+ (* -2/3 t) (* (pow k 2) (+ (* -2/315 (* (pow k 2) t)) (* 4/45 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 (/ (+ (* (+ (* (* -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 (* k k) #s(hole binary64 (pow k 2)))
#s(approx (pow k 4) #s(hole binary64 (pow k 4)))
#s(approx (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))))) #s(hole binary64 (/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4))))
#s(approx (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (/ (pow l 2) t)) (+ (* -1/3 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t))))) (+ (* -1/315 (/ (pow l 2) t)) (* 2/45 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))))) (* 2 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))))))) (pow k 4))))
#s(approx (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k))))) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k))))) #s(hole binary64 (/ (+ (* (pow k 2) (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k))))) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k))))) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (+ (* 1/24 (pow l 2)) (* (pow k 2) (- (* -1/720 (pow l 2)) (+ (* -1/3 (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2))))) (+ (* -1/315 (pow l 2)) (* 2/45 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2))))))))) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (pow l 2)))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (pow l 2))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (pow k 2)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (+ 1/2 (* -1 (pow k 2)))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (+ 1/2 (* (pow k 2) (- (* 1/3 (pow k 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (+ 1/2 (* (pow k 2) (- (* (pow k 2) (+ 1/3 (* -2/45 (pow k 2)))) 1)))))
#s(approx (cos (* 2 k)) #s(hole binary64 1))
#s(approx (cos (* 2 k)) #s(hole binary64 (+ 1 (* -2 (pow k 2)))))
#s(approx (cos (* 2 k)) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 2/3 (pow k 2)) 2)))))
#s(approx (cos (* 2 k)) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/3 (* -4/45 (pow k 2)))) 2)))))
#s(approx (* 2 k) #s(hole binary64 (* 2 k)))
#s(approx (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k k) t)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k k) t)) #s(hole binary64 (/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k k) t)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4))))
#s(approx (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k k) t)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (/ (pow l 2) t)) (+ (* -1/3 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t))))) (+ (* -1/315 (/ (pow l 2) t)) (* 2/45 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))))) (* 2 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))))))) (pow k 4))))
#s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) #s(hole binary64 (* 2 (/ (pow l 2) (pow k 2)))))
#s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (* (pow k 2) (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2))))) (* 2 (pow l 2))) (pow k 2))))
#s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* 2 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2))))))) (pow k 2))))
#s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* 2 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (pow l 2)) (+ (* -1/3 (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2))))) (+ (* -1/315 (pow l 2)) (* 2/45 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2))))))))) (* 2 (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))))))) (pow k 2))))
#s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (+ (* 1/24 (pow l 2)) (* (pow k 2) (- (* -1/720 (pow l 2)) (+ (* -1/3 (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2))))) (+ (* -1/315 (pow l 2)) (* 2/45 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2))))))))) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (* (* (cos k) l) l) #s(hole binary64 (pow l 2)))
#s(approx (* (* (cos k) l) l) #s(hole binary64 (+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2))))
#s(approx (* (* (cos k) l) l) #s(hole binary64 (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2))))
#s(approx (* (* (cos k) l) l) #s(hole binary64 (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (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 (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 k))))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (* 1/2 (cos (* 2 k)))))
#s(approx (cos (* 2 k)) #s(hole binary64 (cos (* 2 k))))
Calls

9 calls:

TimeVariablePointExpression
24.0ms
k
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (/ (* (cos k) l) k) (/ l k)) (/ (* (cos k) l) k) (* (cos k) l) (cos k) k l (/ l k) 4 (* (* (pow (sin k) 2) t) 2) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) 2 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)) (* -7/60 (/ (* l l) t)) -7/60 (/ (* l l) t) (* l l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* 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)) (* (/ (* l l) t) -1/3) -1/3 (* k k) (* (/ (* l l) t) 2) (pow k 4) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))))) (/ 2 (* (* k k) t)) (* (* k k) t) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k))))) (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k k) t)) (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/ (* (* (cos k) l) l) (pow (sin k) 2)) (* (* (cos k) l) l))
11.0ms
l
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (/ (* (cos k) l) k) (/ l k)) (/ (* (cos k) l) k) (* (cos k) l) (cos k) k l (/ l k) 4 (* (* (pow (sin k) 2) t) 2) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) 2 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)) (* -7/60 (/ (* l l) t)) -7/60 (/ (* l l) t) (* l l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* 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)) (* (/ (* l l) t) -1/3) -1/3 (* k k) (* (/ (* l l) t) 2) (pow k 4) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))))) (/ 2 (* (* k k) t)) (* (* k k) t) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k))))) (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k k) t)) (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/ (* (* (cos k) l) l) (pow (sin k) 2)) (* (* (cos k) l) l))
10.0ms
l
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (/ (* (cos k) l) k) (/ l k)) (/ (* (cos k) l) k) (* (cos k) l) (cos k) k l (/ l k) 4 (* (* (pow (sin k) 2) t) 2) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) 2 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)) (* -7/60 (/ (* l l) t)) -7/60 (/ (* l l) t) (* l l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* 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)) (* (/ (* l l) t) -1/3) -1/3 (* k k) (* (/ (* l l) t) 2) (pow k 4) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))))) (/ 2 (* (* k k) t)) (* (* k k) t) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k))))) (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k k) t)) (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/ (* (* (cos k) l) l) (pow (sin k) 2)) (* (* (cos k) l) l))
10.0ms
l
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (/ (* (cos k) l) k) (/ l k)) (/ (* (cos k) l) k) (* (cos k) l) (cos k) k l (/ l k) 4 (* (* (pow (sin k) 2) t) 2) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) 2 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)) (* -7/60 (/ (* l l) t)) -7/60 (/ (* l l) t) (* l l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* 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)) (* (/ (* l l) t) -1/3) -1/3 (* k k) (* (/ (* l l) t) 2) (pow k 4) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))))) (/ 2 (* (* k k) t)) (* (* k k) t) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k))))) (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k k) t)) (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/ (* (* (cos k) l) l) (pow (sin k) 2)) (* (* (cos k) l) l))
9.0ms
t
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (/ (* (cos k) l) k) (/ l k)) (/ (* (cos k) l) k) (* (cos k) l) (cos k) k l (/ l k) 4 (* (* (pow (sin k) 2) t) 2) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) 2 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)) (* -7/60 (/ (* l l) t)) -7/60 (/ (* l l) t) (* l l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* 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)) (* (/ (* l l) t) -1/3) -1/3 (* k k) (* (/ (* l l) t) 2) (pow k 4) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))))) (/ 2 (* (* k k) t)) (* (* k k) t) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k))))) (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k k) t)) (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/ (* (* (cos k) l) l) (pow (sin k) 2)) (* (* (cos k) l) l))

rewrite190.0ms (2.1%)

Memory
-23.5MiB live, 225.2MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06105943
06765443
133295431
081985210
Stop Event
iter limit
node limit
iter limit
Counts
192 → 564
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64))
(*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k))
(/.f64 (*.f64 (cos.f64 k) l) k)
(*.f64 (cos.f64 k) l)
(cos.f64 k)
k
l
(/.f64 l k)
#s(literal 4 binary64)
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
#s(literal 2 binary64)
t
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t)))
(*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))
#s(literal -7/60 binary64)
(/.f64 (*.f64 l l) t)
(*.f64 l l)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (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 (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)))
(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)))
#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)))
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#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (+ 1/2 (* -1 (pow k 2)))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (+ 1/2 (* (pow k 2) (- (* 1/3 (pow k 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (+ 1/2 (* (pow k 2) (- (* (pow k 2) (+ 1/3 (* -2/45 (pow k 2)))) 1)))))
#s(approx (cos (* 2 k)) #s(hole binary64 1))
#s(approx (cos (* 2 k)) #s(hole binary64 (+ 1 (* -2 (pow k 2)))))
#s(approx (cos (* 2 k)) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 2/3 (pow k 2)) 2)))))
#s(approx (cos (* 2 k)) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/3 (* -4/45 (pow k 2)))) 2)))))
#s(approx (* 2 k) #s(hole binary64 (* 2 k)))
#s(approx (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k k) t)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k k) t)) #s(hole binary64 (/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k k) t)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4))))
#s(approx (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k k) t)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (/ (pow l 2) t)) (+ (* -1/3 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t))))) (+ (* -1/315 (/ (pow l 2) t)) (* 2/45 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))))) (* 2 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))))))) (pow k 4))))
#s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) #s(hole binary64 (* 2 (/ (pow l 2) (pow k 2)))))
#s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (* (pow k 2) (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2))))) (* 2 (pow l 2))) (pow k 2))))
#s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* 2 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2))))))) (pow k 2))))
#s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* 2 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (pow l 2)) (+ (* -1/3 (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2))))) (+ (* -1/315 (pow l 2)) (* 2/45 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2))))))))) (* 2 (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))))))) (pow k 2))))
#s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (+ (* 1/24 (pow l 2)) (* (pow k 2) (- (* -1/720 (pow l 2)) (+ (* -1/3 (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2))))) (+ (* -1/315 (pow l 2)) (* 2/45 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2))))))))) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (* (* (cos k) l) l) #s(hole binary64 (pow l 2)))
#s(approx (* (* (cos k) l) l) #s(hole binary64 (+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2))))
#s(approx (* (* (cos k) l) l) #s(hole binary64 (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2))))
#s(approx (* (* (cos k) l) l) #s(hole binary64 (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (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 (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 k))))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (* 1/2 (cos (* 2 k)))))
#s(approx (cos (* 2 k)) #s(hole binary64 (cos (* 2 k))))
Outputs
#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 (cos.f64 k) l) l)) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) t))
(*.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t))
(*.f64 (*.f64 (/.f64 l k) (/.f64 (*.f64 (cos.f64 k) l) k)) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k k) t)))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (/.f64 l k) (/.f64 (*.f64 (cos.f64 k) l) k) (*.f64 (/.f64 l k) (/.f64 (*.f64 (cos.f64 k) l) k))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))
(/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l))) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (cos.f64 k) l) l (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 k) l) l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 k k))) (neg.f64 t))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (*.f64 (/.f64 l k) #s(literal 4 binary64))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (*.f64 (*.f64 (cos.f64 k) l) l))) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 k) l) l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 (*.f64 k k) t))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (*.f64 (/.f64 l k) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 k) l) l))) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (/.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) t))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) #s(literal -2 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 k k) t))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 k k) t)))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (/.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal -2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 k k) t))))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 k (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) l) #s(literal 4 binary64)) (*.f64 k (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 t (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 (neg.f64 (*.f64 (*.f64 k k) t)) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (neg.f64 (*.f64 (*.f64 k k) t)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 (*.f64 (*.f64 k k) t) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64))))) (*.f64 (*.f64 (*.f64 k k) t) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 k k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 4 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (/.f64 l k) (/.f64 (*.f64 (cos.f64 k) l) k)))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)))) (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (/.f64 l k) (/.f64 (*.f64 (cos.f64 k) l) k)))) (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
(/.f64 (fma.f64 (*.f64 (/.f64 l k) (/.f64 (*.f64 (cos.f64 k) l) k)) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
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#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) (/.f64 (fma.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 l l) #s(literal 4 binary64))) (*.f64 k k)))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal -2 binary64))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal 4 binary64))) (*.f64 k k)))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/180 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal -2 binary64))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal 4 binary64))) (*.f64 k k)))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k)))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 l l)) (*.f64 k k)))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ (* (cos k) l) k) (/.f64 l k))
#s(approx (/ (* (cos k) l) k) (/.f64 (fma.f64 (*.f64 (*.f64 k k) l) #s(literal -1/2 binary64) l) k))
#s(approx (/ (* (cos k) l) k) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 k k) l) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) l)) (*.f64 k k) l) k))
#s(approx (/ (* (cos k) l) k) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 k k) l) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) l)) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) l)) (*.f64 k k) l) k))
#s(approx (* (cos k) l) l)
#s(approx (* (cos k) l) (fma.f64 (*.f64 (*.f64 k k) l) #s(literal -1/2 binary64) l))
#s(approx (* (cos k) l) (fma.f64 (fma.f64 (*.f64 (*.f64 k k) l) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) l)) (*.f64 k k) l))
#s(approx (* (cos k) l) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 k k) l) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) l)) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) l)) (*.f64 k k) l))
#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 k k)
#s(approx (* (* (pow (sin k) 2) t) 2) (*.f64 (*.f64 (*.f64 k k) t) #s(literal 2 binary64)))
#s(approx (* (* (pow (sin k) 2) t) 2) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 k k) t) (*.f64 t #s(literal 2 binary64))) (*.f64 k k)))
#s(approx (* (* (pow (sin k) 2) t) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 (*.f64 k k) t) (*.f64 #s(literal -2/3 binary64) t)) (*.f64 k k) (*.f64 t #s(literal 2 binary64))) (*.f64 k k)))
#s(approx (* (* (pow (sin k) 2) t) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/315 binary64) (*.f64 (*.f64 k k) t) (*.f64 #s(literal 4/45 binary64) t)) (*.f64 k k) (*.f64 #s(literal -2/3 binary64) t)) (*.f64 k k) (*.f64 t #s(literal 2 binary64))) (*.f64 k k)))
#s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 k k) t))
#s(approx (* (pow (sin k) 2) t) (*.f64 (fma.f64 (*.f64 (*.f64 k k) t) #s(literal -1/3 binary64) t) (*.f64 k k)))
#s(approx (* (pow (sin k) 2) t) (*.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 k k) t) (*.f64 #s(literal -1/3 binary64) t)) (*.f64 k k) t) (*.f64 k k)))
#s(approx (* (pow (sin k) 2) t) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 (*.f64 k k) t) (*.f64 #s(literal 2/45 binary64) t)) (*.f64 k k) (*.f64 #s(literal -1/3 binary64) t)) (*.f64 k k) t) (*.f64 k k)))
#s(approx (pow (sin k) 2) (*.f64 k k))
#s(approx (pow (sin k) 2) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (pow (sin k) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (pow (sin k) 2) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 k k) #s(literal 2/45 binary64)) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (sin k) k)
#s(approx (sin k) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (sin k) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (sin k) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 k k) #s(literal 1/120 binary64)) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (/ (+ (* (+ (* (* -2 (* 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 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) #s(literal -7/60 binary64) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) t) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) #s(literal -7/60 binary64) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) t) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64)))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (/.f64 (fma.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) #s(literal -7/60 binary64) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) t))
#s(approx (* k k) (*.f64 k k))
#s(approx (pow k 4) (pow.f64 k #s(literal 4 binary64)))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) (*.f64 k k) (/.f64 (*.f64 l l) t))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 l l) t)) (fma.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 l l) t) (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal -1/3 binary64)))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 l l) t)) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 l l) t)) (fma.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 l l) t) (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal -1/3 binary64)))) #s(literal -1/3 binary64) (fma.f64 #s(literal -1/315 binary64) (/.f64 (*.f64 l l) t) (*.f64 #s(literal 2/45 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)))))) (*.f64 k k) (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 l l) t)) (fma.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 l l) t) (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal -1/3 binary64)))))) (*.f64 k k) (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))
#s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 l l)) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) #s(literal -1/3 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal 2/45 binary64) (*.f64 #s(literal -1/315 binary64) (*.f64 l l))))) (*.f64 k k) (*.f64 #s(literal 1/24 binary64) (*.f64 l l))) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
#s(approx (* (cos k) (* l l)) (*.f64 l l))
#s(approx (* (cos k) (* l l)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 l l)))
#s(approx (* (cos k) (* l l)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 l l)))
#s(approx (* (cos k) (* l l)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 l l)))
#s(approx (pow (sin k) 2) (*.f64 k k))
#s(approx (pow (sin k) 2) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (pow (sin k) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (pow (sin k) 2) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 k k) #s(literal 2/45 binary64)) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 k))) (fma.f64 #s(literal -1 binary64) (*.f64 k k) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 k))) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 k k)) #s(literal 1 binary64)) (*.f64 k k) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 k))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 k k) #s(literal 1/3 binary64)) (*.f64 k k)) #s(literal 1 binary64)) (*.f64 k k) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 k)) #s(literal 1 binary64))
#s(approx (cos (* 2 k)) (fma.f64 (*.f64 k k) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (cos (* 2 k)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 k k)) #s(literal 2 binary64)) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (cos (* 2 k)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 k k) #s(literal 2/3 binary64)) (*.f64 k k)) #s(literal 2 binary64)) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (* 2 k) (*.f64 k #s(literal 2 binary64)))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) (*.f64 k k) (/.f64 (*.f64 l l) t))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 l l) t)) (fma.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 l l) t) (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal -1/3 binary64)))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 l l) t)) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 l l) t)) (fma.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 l l) t) (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal -1/3 binary64)))) #s(literal -1/3 binary64) (fma.f64 #s(literal -1/315 binary64) (/.f64 (*.f64 l l) t) (*.f64 #s(literal 2/45 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)))))) (*.f64 k k) (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 l l) t)) (fma.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 l l) t) (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal -1/3 binary64)))))) (*.f64 k k) (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k)))
#s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k)))
#s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal -1/6 binary64)))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal 2 binary64))) (*.f64 k k)))
#s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 l l)) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) #s(literal -1/3 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal 2/45 binary64) (*.f64 #s(literal -1/315 binary64) (*.f64 l l))))) (*.f64 k k) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))))) (*.f64 k k) (*.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal 2 binary64))) (*.f64 k k)))
#s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))
#s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 l l)) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) #s(literal -1/3 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal 2/45 binary64) (*.f64 #s(literal -1/315 binary64) (*.f64 l l))))) (*.f64 k k) (*.f64 #s(literal 1/24 binary64) (*.f64 l l))) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
#s(approx (* (cos k) (* l l)) (*.f64 l l))
#s(approx (* (cos k) (* l l)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 l l)))
#s(approx (* (cos k) (* l l)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 l l)))
#s(approx (* (cos k) (* l l)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 l l)))
#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 (/.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 (+ (* (+ (* (* -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 (*.f64 l l) (*.f64 (*.f64 k k) t)) #s(literal -1/3 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (*.f64 (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)))) (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 (*.f64 l l) (*.f64 (*.f64 k k) t)) #s(literal -1/3 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))) (*.f64 k k)))
#s(approx (pow (sin k) 2) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos (* 2 k))) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 k)) (cos.f64 (*.f64 k #s(literal 2 binary64))))

eval65.0ms (0.7%)

Memory
32.2MiB live, 124.8MiB allocated; 7ms collecting garbage
Compiler

Compiled 37 760 to 2 657 computations (93% saved)

prune81.0ms (0.9%)

Memory
-8.4MiB live, 183.9MiB allocated; 8ms collecting garbage
Pruning

46 alts after pruning (45 fresh and 1 done)

PrunedKeptTotal
New60023623
Fresh72229
Picked415
Done000
Total61146657
Accuracy
97.7%
Counts
657 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.4%
(/.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 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 0 binary64)))
24.3%
(/.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))))
39.5%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
48.6%
(/.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))))
89.0%
(/.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) (*.f64 (cos.f64 k) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))))
87.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (fma.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 l (*.f64 k k)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
27.6%
#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) #s(literal -1/3 binary64)) t)) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
27.6%
#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))) (*.f64 (*.f64 k k) (*.f64 k k))))
30.8%
#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 l (/.f64 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))))
45.2%
#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))))
76.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
91.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 k) #s(literal -2 binary64))) t) #s(literal 2 binary64))))
85.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) t) #s(literal 2 binary64))))
72.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) #s(literal 2 binary64))))
74.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
88.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 k (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))))
75.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 4 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))))
75.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))))
76.3%
#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 (cos.f64 k) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
60.6%
#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)))
64.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
72.1%
#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 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (*.f64 k k) t)))
64.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
33.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
60.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
72.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
60.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
91.2%
#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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k))))
58.2%
#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)))
72.1%
#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 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
72.1%
#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)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
64.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
60.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
76.8%
#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 (cos.f64 k) (/.f64 (*.f64 l l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
63.9%
#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)) #s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
70.7%
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k)))))
78.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
73.6%
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
83.6%
#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 k k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) t)))
78.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 k t))))
89.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(literal 2 binary64)))
65.0%
#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)))
78.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 #s(literal 1 binary64) (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
16.2%
#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)))
16.2%
#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))))
14.0%
#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 4 429 to 2 935 computations (33.7% saved)

series83.0ms (0.9%)

Memory
11.6MiB live, 154.6MiB allocated; 8ms collecting garbage
Counts
51 → 137
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 k) #s(literal -2 binary64))) t) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 k) #s(literal -2 binary64))) t) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64))
(*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k))
(/.f64 (*.f64 (cos.f64 k) l) k)
(*.f64 (cos.f64 k) l)
(cos.f64 k)
k
l
(/.f64 l k)
#s(literal 4 binary64)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 k) #s(literal -2 binary64))) t) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 k) #s(literal -2 binary64))) t)
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 k) #s(literal -2 binary64)))
#s(literal 1 binary64)
(pow.f64 (sin.f64 k) #s(literal -2 binary64))
(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))) #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 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t)))
(/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64)))
(pow.f64 k #s(literal 4 binary64))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k))))))
(/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t)))
(*.f64 k (*.f64 k t))
(*.f64 k t)
(/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))
(*.f64 (cos.f64 k) (*.f64 l l))
(*.f64 l l)
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))
(cos.f64 (*.f64 #s(literal 2 binary64) k))
(*.f64 #s(literal 2 binary64) k)
#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 (cos.f64 k) (/.f64 (*.f64 l l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (*.f64 (cos.f64 k) (/.f64 (*.f64 l l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t))
(*.f64 (*.f64 k k) t)
(*.f64 k k)
(*.f64 (cos.f64 k) (/.f64 (*.f64 l l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (*.f64 l l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
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 (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (/ 1 (pow (sin k) -2)) t) 2) #s(hole binary64 (* 2 (* t (pow (sin k) 2)))))
#s(approx (* (/ 1 (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 (/ l t) #s(hole binary64 (/ l t)))
#s(approx (* (/ 2 (pow k 4)) (* l (/ l t))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* (/ 2 (* k (* k t))) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))))
#s(approx (/ 2 (* k (* k t))) #s(hole binary64 (/ 2 (* (pow k 2) t))))
#s(approx (* k (* k t)) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* k t) #s(hole binary64 (* k t)))
#s(approx (* (/ 2 (* (* k k) t)) (* (cos k) (/ (* l l) (pow (sin k) 2)))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (/ 2 (* (* k k) t)) #s(hole binary64 (/ 2 (* (pow k 2) t))))
#s(approx (* (* k k) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* -1 (/ (+ (* -2 (pow l 2)) (* (pow k 2) (+ (* 7/60 (* (pow k 2) (pow l 2))) (* 1/3 (pow l 2))))) (* (pow k 4) t)))))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (* 4 (/ (* (pow l 2) (cos k)) (pow k 2)))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (* (pow l 2) (cos k)) (pow k 2))))
#s(approx (/ (* (cos k) l) k) #s(hole binary64 (/ (* l (cos k)) k)))
#s(approx (* (cos k) l) #s(hole binary64 (* l (cos k))))
#s(approx l #s(hole binary64 l))
#s(approx (/ l k) #s(hole binary64 (/ l 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 (/ (* (pow l 2) (+ (* (pow k 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t)))) (pow k 4))))
#s(approx (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k))))) #s(hole binary64 (/ (* (pow l 2) (cos k)) (- 1/2 (* 1/2 (cos (* 2 k)))))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (* (pow l 2) (cos k))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) #s(hole binary64 (/ (* (pow l 2) (cos k)) (pow (sin k) 2))))
#s(approx (/ (* l l) (pow (sin k) 2)) #s(hole binary64 (/ (pow l 2) (pow (sin k) 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 (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) #s(hole binary64 (/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (/ (pow l 2) t)) (+ (* -1/3 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t))))) (+ (* -1/315 (/ (pow l 2) t)) (* 2/45 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))))) (* 2 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))))))) (pow k 4))))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (* 4 (/ (pow l 2) (pow k 2)))))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (/ (+ (* -2 (* (pow k 2) (pow l 2))) (* 4 (pow l 2))) (pow k 2))))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (/ (+ (* 4 (pow l 2)) (* (pow k 2) (+ (* -2 (pow l 2)) (* 1/6 (* (pow k 2) (pow l 2)))))) (pow k 2))))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (/ (+ (* 4 (pow l 2)) (* (pow k 2) (+ (* -2 (pow l 2)) (* (pow k 2) (+ (* -1/180 (* (pow k 2) (pow l 2))) (* 1/6 (pow l 2))))))) (pow k 2))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2)) (pow k 2))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2)) (pow k 2))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (cos k) l) k) #s(hole binary64 (/ l k)))
#s(approx (/ (* (cos k) l) k) #s(hole binary64 (/ (+ l (* -1/2 (* (pow k 2) l))) k)))
#s(approx (/ (* (cos k) l) k) #s(hole binary64 (/ (+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l))))) k)))
#s(approx (/ (* (cos k) l) k) #s(hole binary64 (/ (+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l)))))) k)))
#s(approx (* (cos k) l) #s(hole binary64 l))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* -1/2 (* (pow k 2) l)))))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l)))))))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l))))))))
#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 k #s(hole binary64 k))
#s(approx (* (* (/ 1 (pow (sin k) -2)) t) 2) #s(hole binary64 (* 2 (* (pow k 2) t))))
#s(approx (* (* (/ 1 (pow (sin k) -2)) t) 2) #s(hole binary64 (* (pow k 2) (+ (* -2/3 (* (pow k 2) t)) (* 2 t)))))
#s(approx (* (* (/ 1 (pow (sin k) -2)) t) 2) #s(hole binary64 (* (pow k 2) (+ (* 2 t) (* (pow k 2) (+ (* -2/3 t) (* 4/45 (* (pow k 2) t))))))))
#s(approx (* (* (/ 1 (pow (sin k) -2)) t) 2) #s(hole binary64 (* (pow k 2) (+ (* 2 t) (* (pow k 2) (+ (* -2/3 t) (* (pow k 2) (+ (* -2/315 (* (pow k 2) t)) (* 4/45 t)))))))))
#s(approx (* (/ 1 (pow (sin k) -2)) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* (/ 1 (pow (sin k) -2)) t) #s(hole binary64 (* (pow k 2) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (/ 1 (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 (* (/ 1 (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 (/ 1 (pow (sin k) -2)) #s(hole binary64 (pow k 2)))
#s(approx (/ 1 (pow (sin k) -2)) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (/ 1 (pow (sin k) -2)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (/ 1 (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 (pow (sin k) -2) #s(hole binary64 (/ 1 (pow k 2))))
#s(approx (pow (sin k) -2) #s(hole binary64 (/ (+ 1 (* 1/3 (pow k 2))) (pow k 2))))
#s(approx (pow (sin k) -2) #s(hole binary64 (/ (+ 1 (* (pow k 2) (+ 1/3 (* 1/15 (pow k 2))))) (pow k 2))))
#s(approx (pow (sin k) -2) #s(hole binary64 (/ (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 1/15 (* 2/189 (pow k 2))))))) (pow k 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 (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* -7/60 (/ (* (pow k 2) (pow l 2)) t))))) (pow k 4))))
#s(approx (/ 2 (pow k 4)) #s(hole binary64 (/ 2 (pow k 4))))
#s(approx (pow k 4) #s(hole binary64 (pow k 4)))
#s(approx (* (/ 2 (* k (* k t))) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* (/ 2 (* k (* k t))) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))))) #s(hole binary64 (/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (* (/ 2 (* k (* k t))) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4))))
#s(approx (* (/ 2 (* k (* k t))) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (/ (pow l 2) t)) (+ (* -1/3 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t))))) (+ (* -1/315 (/ (pow l 2) t)) (* 2/45 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))))) (* 2 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))))))) (pow k 4))))
#s(approx (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k))))) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k))))) #s(hole binary64 (/ (+ (* (pow k 2) (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k))))) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k))))) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (+ (* 1/24 (pow l 2)) (* (pow k 2) (- (* -1/720 (pow l 2)) (+ (* -1/3 (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2))))) (+ (* -1/315 (pow l 2)) (* 2/45 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2))))))))) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (pow l 2)))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (pow l 2))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (pow k 2)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (+ 1/2 (* -1 (pow k 2)))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (+ 1/2 (* (pow k 2) (- (* 1/3 (pow k 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (+ 1/2 (* (pow k 2) (- (* (pow k 2) (+ 1/3 (* -2/45 (pow k 2)))) 1)))))
#s(approx (cos (* 2 k)) #s(hole binary64 1))
#s(approx (cos (* 2 k)) #s(hole binary64 (+ 1 (* -2 (pow k 2)))))
#s(approx (cos (* 2 k)) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 2/3 (pow k 2)) 2)))))
#s(approx (cos (* 2 k)) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/3 (* -4/45 (pow k 2)))) 2)))))
#s(approx (* 2 k) #s(hole binary64 (* 2 k)))
#s(approx (* (/ 2 (* (* k k) t)) (* (cos k) (/ (* l l) (pow (sin k) 2)))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* (/ 2 (* (* k k) t)) (* (cos k) (/ (* l l) (pow (sin k) 2)))) #s(hole binary64 (/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (* (/ 2 (* (* k k) t)) (* (cos k) (/ (* l l) (pow (sin k) 2)))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4))))
#s(approx (* (/ 2 (* (* k k) t)) (* (cos k) (/ (* l l) (pow (sin k) 2)))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (/ (pow l 2) t)) (+ (* -1/3 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t))))) (+ (* -1/315 (/ (pow l 2) t)) (* 2/45 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))))) (* 2 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))))))) (pow k 4))))
#s(approx (* k k) #s(hole binary64 (pow k 2)))
#s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* (pow k 2) (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (+ (* 1/24 (pow l 2)) (* (pow k 2) (- (* -1/720 (pow l 2)) (+ (* -1/3 (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2))))) (+ (* -1/315 (pow l 2)) (* 2/45 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2))))))))) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (* l l) (pow (sin k) 2)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (/ (* l l) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* 1/3 (* (pow k 2) (pow l 2))) (pow l 2)) (pow k 2))))
#s(approx (/ (* l l) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/9 (pow l 2)) (* 2/45 (pow l 2))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (* l l) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/315 (pow l 2)) (+ (* 2/135 (pow l 2)) (* 1/3 (+ (* -1/9 (pow l 2)) (* 2/45 (pow l 2)))))))) (+ (* -1/9 (pow l 2)) (* 2/45 (pow l 2))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow k 2)))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))))
#s(approx (cos k) #s(hole binary64 (cos k)))
#s(approx (/ 1 (pow (sin k) -2)) #s(hole binary64 (pow (sin k) 2)))
#s(approx (pow (sin k) -2) #s(hole binary64 (/ 1 (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 (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 k))))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (* 1/2 (cos (* 2 k)))))
#s(approx (cos (* 2 k)) #s(hole binary64 (cos (* 2 k))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow (sin k) 2)))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
l
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (/ (* (cos k) l) k) (/ l k)) (/ (* (cos k) l) k) (* (cos k) l) (cos k) k l (/ l k) 4 (* (* (/ 1 (pow (sin k) -2)) t) 2) (* (/ 1 (pow (sin k) -2)) t) (/ 1 (pow (sin k) -2)) 1 (pow (sin k) -2) (sin k) -2 t 2 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (* -7/60 (* l (/ l t))) -7/60 (* l (/ l t)) (/ l t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (pow k 4)) (* l (/ l t))) (/ 2 (pow k 4)) (pow k 4) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* k (* k t))) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))))) (/ 2 (* k (* k t))) (* k (* k t)) (* k t) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k))))) (* (cos k) (* l l)) (* l l) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* (* k k) t)) (* (cos k) (/ (* l l) (pow (sin k) 2)))) (/ 2 (* (* k k) t)) (* (* k k) t) (* k k) (* (cos k) (/ (* l l) (pow (sin k) 2))) (/ (* l l) (pow (sin k) 2)) (pow (sin k) 2))
10.0ms
l
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (/ (* (cos k) l) k) (/ l k)) (/ (* (cos k) l) k) (* (cos k) l) (cos k) k l (/ l k) 4 (* (* (/ 1 (pow (sin k) -2)) t) 2) (* (/ 1 (pow (sin k) -2)) t) (/ 1 (pow (sin k) -2)) 1 (pow (sin k) -2) (sin k) -2 t 2 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (* -7/60 (* l (/ l t))) -7/60 (* l (/ l t)) (/ l t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (pow k 4)) (* l (/ l t))) (/ 2 (pow k 4)) (pow k 4) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* k (* k t))) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))))) (/ 2 (* k (* k t))) (* k (* k t)) (* k t) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k))))) (* (cos k) (* l l)) (* l l) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* (* k k) t)) (* (cos k) (/ (* l l) (pow (sin k) 2)))) (/ 2 (* (* k k) t)) (* (* k k) t) (* k k) (* (cos k) (/ (* l l) (pow (sin k) 2))) (/ (* l l) (pow (sin k) 2)) (pow (sin k) 2))
10.0ms
l
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (/ (* (cos k) l) k) (/ l k)) (/ (* (cos k) l) k) (* (cos k) l) (cos k) k l (/ l k) 4 (* (* (/ 1 (pow (sin k) -2)) t) 2) (* (/ 1 (pow (sin k) -2)) t) (/ 1 (pow (sin k) -2)) 1 (pow (sin k) -2) (sin k) -2 t 2 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (* -7/60 (* l (/ l t))) -7/60 (* l (/ l t)) (/ l t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (pow k 4)) (* l (/ l t))) (/ 2 (pow k 4)) (pow k 4) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* k (* k t))) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))))) (/ 2 (* k (* k t))) (* k (* k t)) (* k t) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k))))) (* (cos k) (* l l)) (* l l) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* (* k k) t)) (* (cos k) (/ (* l l) (pow (sin k) 2)))) (/ 2 (* (* k k) t)) (* (* k k) t) (* k k) (* (cos k) (/ (* l l) (pow (sin k) 2))) (/ (* l l) (pow (sin k) 2)) (pow (sin k) 2))
9.0ms
t
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (/ (* (cos k) l) k) (/ l k)) (/ (* (cos k) l) k) (* (cos k) l) (cos k) k l (/ l k) 4 (* (* (/ 1 (pow (sin k) -2)) t) 2) (* (/ 1 (pow (sin k) -2)) t) (/ 1 (pow (sin k) -2)) 1 (pow (sin k) -2) (sin k) -2 t 2 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (* -7/60 (* l (/ l t))) -7/60 (* l (/ l t)) (/ l t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (pow k 4)) (* l (/ l t))) (/ 2 (pow k 4)) (pow k 4) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* k (* k t))) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))))) (/ 2 (* k (* k t))) (* k (* k t)) (* k t) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k))))) (* (cos k) (* l l)) (* l l) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* (* k k) t)) (* (cos k) (/ (* l l) (pow (sin k) 2)))) (/ 2 (* (* k k) t)) (* (* k k) t) (* k k) (* (cos k) (/ (* l l) (pow (sin k) 2))) (/ (* l l) (pow (sin k) 2)) (pow (sin k) 2))
8.0ms
k
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (/ (* (cos k) l) k) (/ l k)) (/ (* (cos k) l) k) (* (cos k) l) (cos k) k l (/ l k) 4 (* (* (/ 1 (pow (sin k) -2)) t) 2) (* (/ 1 (pow (sin k) -2)) t) (/ 1 (pow (sin k) -2)) 1 (pow (sin k) -2) (sin k) -2 t 2 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (* -7/60 (* l (/ l t))) -7/60 (* l (/ l t)) (/ l t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (pow k 4)) (* l (/ l t))) (/ 2 (pow k 4)) (pow k 4) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* k (* k t))) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))))) (/ 2 (* k (* k t))) (* k (* k t)) (* k t) (/ (* (cos k) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k))))) (* (cos k) (* l l)) (* l l) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* (* k k) t)) (* (cos k) (/ (* l l) (pow (sin k) 2)))) (/ 2 (* (* k k) t)) (* (* k k) t) (* k k) (* (cos k) (/ (* l l) (pow (sin k) 2))) (/ (* l l) (pow (sin k) 2)) (pow (sin k) 2))

rewrite221.0ms (2.4%)

Memory
-13.0MiB live, 219.1MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06255064
06924572
134334564
080114387
Stop Event
iter limit
node limit
iter limit
Counts
188 → 617
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 k) #s(literal -2 binary64))) t) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 k) #s(literal -2 binary64))) t) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64))
(*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k))
(/.f64 (*.f64 (cos.f64 k) l) k)
(*.f64 (cos.f64 k) l)
(cos.f64 k)
k
l
(/.f64 l k)
#s(literal 4 binary64)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 k) #s(literal -2 binary64))) t) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 k) #s(literal -2 binary64))) t)
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 k) #s(literal -2 binary64)))
#s(literal 1 binary64)
(pow.f64 (sin.f64 k) #s(literal -2 binary64))
(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))) #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)))))
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#s(literal -7/60 binary64)
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#s(literal 1/2 binary64)
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(cos.f64 (*.f64 #s(literal 2 binary64) k))
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#s(approx (* (/ 1 (pow (sin k) -2)) t) #s(hole binary64 (* t (pow (sin k) 2))))
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#s(approx (* (/ 2 (* (* k k) t)) (* (cos k) (/ (* l l) (pow (sin k) 2)))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
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#s(approx (* (cos k) l) #s(hole binary64 l))
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#s(approx (cos (* 2 k)) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 2/3 (pow k 2)) 2)))))
#s(approx (cos (* 2 k)) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/3 (* -4/45 (pow k 2)))) 2)))))
#s(approx (* 2 k) #s(hole binary64 (* 2 k)))
#s(approx (* (/ 2 (* (* k k) t)) (* (cos k) (/ (* l l) (pow (sin k) 2)))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* (/ 2 (* (* k k) t)) (* (cos k) (/ (* l l) (pow (sin k) 2)))) #s(hole binary64 (/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (* (/ 2 (* (* k k) t)) (* (cos k) (/ (* l l) (pow (sin k) 2)))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4))))
#s(approx (* (/ 2 (* (* k k) t)) (* (cos k) (/ (* l l) (pow (sin k) 2)))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (/ (pow l 2) t)) (+ (* -1/3 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t))))) (+ (* -1/315 (/ (pow l 2) t)) (* 2/45 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))))) (* 2 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))))))) (pow k 4))))
#s(approx (* k k) #s(hole binary64 (pow k 2)))
#s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* (pow k 2) (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (+ (* 1/24 (pow l 2)) (* (pow k 2) (- (* -1/720 (pow l 2)) (+ (* -1/3 (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2))))) (+ (* -1/315 (pow l 2)) (* 2/45 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2))))))))) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (* l l) (pow (sin k) 2)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (/ (* l l) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* 1/3 (* (pow k 2) (pow l 2))) (pow l 2)) (pow k 2))))
#s(approx (/ (* l l) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/9 (pow l 2)) (* 2/45 (pow l 2))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (* l l) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/315 (pow l 2)) (+ (* 2/135 (pow l 2)) (* 1/3 (+ (* -1/9 (pow l 2)) (* 2/45 (pow l 2)))))))) (+ (* -1/9 (pow l 2)) (* 2/45 (pow l 2))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow k 2)))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))))
#s(approx (cos k) #s(hole binary64 (cos k)))
#s(approx (/ 1 (pow (sin k) -2)) #s(hole binary64 (pow (sin k) 2)))
#s(approx (pow (sin k) -2) #s(hole binary64 (/ 1 (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 (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 k))))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (* 1/2 (cos (* 2 k)))))
#s(approx (cos (* 2 k)) #s(hole binary64 (cos (* 2 k))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow (sin k) 2)))
Outputs
#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 (cos.f64 k) l) l)) (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (cos.f64 k)) (*.f64 l (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 l (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (cos.f64 k)) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (*.f64 (*.f64 l (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (cos.f64 k)))
(*.f64 (*.f64 (/.f64 l k) (/.f64 (*.f64 (cos.f64 k) l) k)) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l))) (neg.f64 (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (cos.f64 k) l) l (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 l k) (/.f64 (*.f64 (cos.f64 k) l) k) (*.f64 (/.f64 l k) (/.f64 (*.f64 (cos.f64 k) l) k))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (*.f64 (/.f64 l k) #s(literal 4 binary64))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 l (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (cos.f64 k)))) (neg.f64 (*.f64 (*.f64 k t) k)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 k) l) l))) (neg.f64 (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (*.f64 (*.f64 (cos.f64 k) l) l))) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (*.f64 (/.f64 l k) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (/.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) t))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (/.f64 #s(literal 2 binary64) k)) (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 k t)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) #s(literal -2 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 k t) k))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 k t) k)))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (/.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (/.f64 #s(literal 2 binary64) k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 k t)))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal -2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 k t) k))))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k t) k)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 t (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 (*.f64 k t) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 k t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 (neg.f64 (*.f64 (*.f64 k t) k)) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (neg.f64 (*.f64 (*.f64 k t) k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 (*.f64 (*.f64 k t) k) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 k (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) l) #s(literal 4 binary64)) (*.f64 k (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 k k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 4 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (neg.f64 (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (/.f64 l k) (/.f64 (*.f64 (cos.f64 k) l) k)))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (neg.f64 (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)))) (*.f64 (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (/.f64 l k) (/.f64 (*.f64 (cos.f64 k) l) k)))) (*.f64 (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
(/.f64 (fma.f64 (*.f64 (/.f64 l k) (/.f64 (*.f64 (cos.f64 k) l) k)) (neg.f64 (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (neg.f64 (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 (/.f64 l k) (/.f64 (*.f64 (cos.f64 k) l) k)) (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (/.f64 l k) (/.f64 (*.f64 (cos.f64 k) l) k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (/.f64 l k) (/.f64 (*.f64 (cos.f64 k) l) k)))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
(/.f64 (/.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (*.f64 (/.f64 l k) #s(literal 4 binary64))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 l (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (cos.f64 k))) (*.f64 (*.f64 k t) k))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (*.f64 (*.f64 (cos.f64 k) l) l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (*.f64 (/.f64 l k) #s(literal 4 binary64)))) (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (*.f64 (/.f64 l k) #s(literal 4 binary64))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))
(fma.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(fma.f64 (*.f64 l l) (/.f64 (cos.f64 k) (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
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(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal 2 binary64)))))
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#s(approx t t)
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#s(approx (* l (/ l t)) (*.f64 (/.f64 l t) l))
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#s(approx (* (* k k) t) (*.f64 (*.f64 k t) k))
#s(approx (* k t) (*.f64 k t))
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#s(approx (* (cos k) l) (*.f64 (cos.f64 k) l))
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#s(approx (* (cos k) l) l)
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#s(approx (cos k) #s(literal 1 binary64))
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#s(approx k k)
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#s(approx (sin k) k)
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#s(approx (/ 2 (pow k 4)) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))))
#s(approx (pow k 4) (pow.f64 k #s(literal 4 binary64)))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) (/.f64 l t)))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 (/.f64 l t) l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 l t) l)) (fma.f64 #s(literal 2/45 binary64) (*.f64 (/.f64 l t) l) (*.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64)))) (*.f64 k k) (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)))) (*.f64 k k) (*.f64 (*.f64 (/.f64 l t) l) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (/.f64 l t) l)) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 l t) l)) (fma.f64 #s(literal 2/45 binary64) (*.f64 (/.f64 l t) l) (*.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64)))) #s(literal -1/3 binary64) (fma.f64 #s(literal -1/315 binary64) (*.f64 (/.f64 l t) l) (*.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)))))) (*.f64 k k) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 l t) l)) (fma.f64 #s(literal 2/45 binary64) (*.f64 (/.f64 l t) l) (*.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64)))))) (*.f64 k k) (*.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 k k) (*.f64 (*.f64 (/.f64 l t) l) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (*.f64 l l) (*.f64 k k)))
#s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
#s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
#s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 l l)) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) #s(literal -1/3 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal 2/45 binary64) (*.f64 #s(literal -1/315 binary64) (*.f64 l l))))) (*.f64 k k) (*.f64 #s(literal 1/24 binary64) (*.f64 l l))) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
#s(approx (* (cos k) (* l l)) (*.f64 l l))
#s(approx (* (cos k) (* l l)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 l l)))
#s(approx (* (cos k) (* l l)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 l l)))
#s(approx (* (cos k) (* l l)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 l l)))
#s(approx (/ 1 (pow (sin k) -2)) (*.f64 k k))
#s(approx (/ 1 (pow (sin k) -2)) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (/ 1 (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 (/ 1 (pow (sin k) -2)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 k k) #s(literal 2/45 binary64)) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 k))) (fma.f64 #s(literal -1 binary64) (*.f64 k k) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 k))) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 k k)) #s(literal 1 binary64)) (*.f64 k k) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 k))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 k k) #s(literal 1/3 binary64)) (*.f64 k k)) #s(literal 1 binary64)) (*.f64 k k) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 k)) #s(literal 1 binary64))
#s(approx (cos (* 2 k)) (fma.f64 (*.f64 k k) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (cos (* 2 k)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 k k)) #s(literal 2 binary64)) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (cos (* 2 k)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 k k) #s(literal 2/3 binary64)) (*.f64 k k)) #s(literal 2 binary64)) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (* 2 k) (*.f64 k #s(literal 2 binary64)))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) (/.f64 l t)))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 (/.f64 l t) l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 l t) l)) (fma.f64 #s(literal 2/45 binary64) (*.f64 (/.f64 l t) l) (*.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64)))) (*.f64 k k) (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)))) (*.f64 k k) (*.f64 (*.f64 (/.f64 l t) l) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (/.f64 l t) l)) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 l t) l)) (fma.f64 #s(literal 2/45 binary64) (*.f64 (/.f64 l t) l) (*.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64)))) #s(literal -1/3 binary64) (fma.f64 #s(literal -1/315 binary64) (*.f64 (/.f64 l t) l) (*.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)))))) (*.f64 k k) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 l t) l)) (fma.f64 #s(literal 2/45 binary64) (*.f64 (/.f64 l t) l) (*.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64)))))) (*.f64 k k) (*.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 k k) (*.f64 (*.f64 (/.f64 l t) l) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* k k) (*.f64 k k))
#s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (*.f64 l l) (*.f64 k k)))
#s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
#s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
#s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 l l)) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) #s(literal -1/3 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal 2/45 binary64) (*.f64 #s(literal -1/315 binary64) (*.f64 l l))))) (*.f64 k k) (*.f64 #s(literal 1/24 binary64) (*.f64 l l))) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ (* l l) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))
#s(approx (/ (* l l) (pow (sin k) 2)) (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ (* l l) (pow (sin k) 2)) (/.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 k k)) (*.f64 (*.f64 l l) #s(literal -1/15 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ (* l l) (pow (sin k) 2)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (*.f64 k k)) (fma.f64 #s(literal -1/315 binary64) (*.f64 l l) (fma.f64 #s(literal 2/135 binary64) (*.f64 l l) (*.f64 (*.f64 (*.f64 l l) #s(literal -1/15 binary64)) #s(literal 1/3 binary64))))) (*.f64 (*.f64 l l) #s(literal -1/15 binary64))) (*.f64 k k) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ 1 (pow (sin k) -2)) (*.f64 k k))
#s(approx (/ 1 (pow (sin k) -2)) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (/ 1 (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 (/ 1 (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 (cos k) (cos.f64 k))
#s(approx (/ 1 (pow (sin k) -2)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
#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 (*.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 t) 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)) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 k t) k)) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) (/.f64 l t)))))
#s(approx (/ 1 (pow (sin k) -2)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos (* 2 k))) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 k)) (cos.f64 (*.f64 k #s(literal 2 binary64))))
#s(approx (/ 1 (pow (sin k) -2)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))

eval79.0ms (0.9%)

Memory
-17.8MiB live, 81.6MiB allocated; 15ms collecting garbage
Compiler

Compiled 28 068 to 2 395 computations (91.5% saved)

prune125.0ms (1.4%)

Memory
23.1MiB live, 164.4MiB allocated; 6ms collecting garbage
Pruning

53 alts after pruning (48 fresh and 5 done)

PrunedKeptTotal
New50619525
Fresh112940
Picked145
Done011
Total51853571
Accuracy
99.2%
Counts
571 → 53
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.4%
(/.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 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 0 binary64)))
39.5%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
48.6%
(/.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))))
89.0%
(/.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) (*.f64 (cos.f64 k) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))))
87.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (fma.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 l (*.f64 k k)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
29.1%
#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))))
31.1%
#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))))
27.6%
#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) #s(literal -1/3 binary64)) t)) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
27.6%
#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))) (*.f64 (*.f64 k k) (*.f64 k k))))
45.2%
#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))))
78.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 k t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
91.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 k) #s(literal -2 binary64))) t) #s(literal 2 binary64))))
60.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin k) -2) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))) t) #s(literal 2 binary64))))
85.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) t) #s(literal 2 binary64))))
74.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #s(literal 2 binary64))))
74.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
73.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 k) #s(literal -2 binary64))) t) #s(literal 2 binary64))))
60.8%
#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) #s(literal 2 binary64)) (pow.f64 k #s(literal 4 binary64))))
88.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 k (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))))
75.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 4 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))))
75.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))))
76.3%
#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 (cos.f64 k) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
60.6%
#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)))
64.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
72.1%
#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 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (*.f64 k k) t)))
86.4%
#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 l (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (cos.f64 k))) (*.f64 (*.f64 k t) k)))
64.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
33.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
60.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
72.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
73.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 k t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
60.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
91.2%
#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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k))))
60.8%
#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 l (/.f64 l t))))
72.1%
#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)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
64.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
60.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
76.8%
#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 (cos.f64 k) (/.f64 (*.f64 l l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
70.7%
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k)))))
73.6%
#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 k (*.f64 k t))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
73.6%
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
36.8%
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 binary64))))))
60.4%
#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 k (*.f64 k t))) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
33.9%
#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 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
63.9%
#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 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (*.f64 l l) (*.f64 k k)))))
83.6%
#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 k k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) t)))
89.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(literal 2 binary64)))
65.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) (/.f64 l t)))
16.2%
#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)))
14.0%
#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))))
16.2%
#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))))
14.0%
#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)))))
33.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 (/.f64 l t) l))) (pow.f64 k #s(literal 4 binary64)))))
Compiler

Compiled 7 275 to 2 301 computations (68.4% saved)

regimes143.0ms (1.6%)

Memory
7.2MiB live, 245.2MiB allocated; 18ms collecting garbage
Counts
97 → 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (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))) (*.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 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) (/.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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 l t) l) #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 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
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(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 k l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 k) #s(literal -2 binary64))) t) #s(literal 2 binary64))))
(/.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 (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 (/.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)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (pow.f64 (/.f64 k 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)) (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 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)))) (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 0 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 (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 (/.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 (exp.f64 (-.f64 (*.f64 (log.f64 t) #s(literal 3 binary64)) (*.f64 (log.f64 l) #s(literal 2 binary64)))) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (fma.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 l (*.f64 k k)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 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 #s(literal 2 binary64) k) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 k t) (pow.f64 (sin.f64 k) #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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 k) #s(literal -2 binary64))) t) #s(literal 2 binary64))))
Calls

6 calls:

27.0ms
k
25.0ms
l
24.0ms
t
23.0ms
(*.f64 l l)
19.0ms
(*.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
95.9%3(*.f64 l l)
91.6%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
91.6%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
93.3%2t
95.9%3l
95.9%3k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes45.0ms (0.5%)

Memory
-14.7MiB live, 78.7MiB allocated; 4ms collecting garbage
Counts
84 → 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (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))) (*.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 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) (/.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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 l t) l) #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 (/.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)))))
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 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 k (*.f64 k t))) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 (/.f64 l t) l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (*.f64 l (/.f64 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 #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))))
#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) #s(literal -1/3 binary64)) t)) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.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 (fma.f64 (/.f64 k t) (/.f64 k t) #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 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin k) -2) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))) 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 (/.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) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (*.f64 l (/.f64 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) (*.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)))
#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 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 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 #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))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.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 (*.f64 (/.f64 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.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))))
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(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 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (*.f64 k k) 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) (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 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 2 binary64) k) (*.f64 k t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) t) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 k l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (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 (*.f64 (*.f64 t t) t) (*.f64 l 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 (/.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))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))))
(/.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 (cos.f64 k) l) l) #s(literal 4 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.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 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #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 (cos.f64 k) (/.f64 (*.f64 l l) (pow.f64 (sin.f64 k) #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)))))
#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 l (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (cos.f64 k))) (*.f64 (*.f64 k t) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 k t) (pow.f64 (sin.f64 k) #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 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 l l) (/.f64 (cos.f64 k) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.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 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 k (*.f64 (*.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) k) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #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))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.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 (*.f64 k k) t) (*.f64 (cos.f64 k) l)) (/.f64 (pow.f64 (sin.f64 k) #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 #s(literal 2 binary64) k) (/.f64 #s(literal 1 binary64) (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 k l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 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 #s(literal 2 binary64) k) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 k t) (pow.f64 (sin.f64 k) #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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k))))
Calls

2 calls:

21.0ms
l
19.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
95.9%3(*.f64 l l)
95.9%3l
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes67.0ms (0.7%)

Memory
33.1MiB live, 128.4MiB allocated; 10ms collecting garbage
Counts
78 → 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (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))) (*.f64 (*.f64 k k) (*.f64 k k))))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) (/.f64 l t)))
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#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 k k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) t)))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 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 #s(literal 2 binary64) k) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 k t) (pow.f64 (sin.f64 k) #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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) t) #s(literal 2 binary64))))
Calls

3 calls:

22.0ms
(*.f64 l l)
21.0ms
l
19.0ms
k
Results
AccuracySegmentsBranch
95.7%3k
95.8%3(*.f64 l l)
95.8%3l
Compiler

Compiled 5 to 10 computations (-100% saved)

regimes66.0ms (0.7%)

Memory
-21.9MiB live, 116.5MiB allocated; 16ms collecting garbage
Counts
72 → 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (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))) (*.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 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) (/.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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 l t) l) #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 (/.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)))))
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 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 k (*.f64 k t))) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 (/.f64 l t) l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (*.f64 l (/.f64 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 #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))))
#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) #s(literal -1/3 binary64)) t)) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.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 (fma.f64 (/.f64 k t) (/.f64 k t) #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 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin k) -2) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))) 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 (/.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) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (*.f64 l (/.f64 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) (*.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)))
#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 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 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 #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))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.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 (*.f64 (/.f64 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.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))))
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(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 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (*.f64 k k) 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) (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 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 2 binary64) k) (*.f64 k t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) t) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 k l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (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 (*.f64 (*.f64 t t) t) (*.f64 l 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 (/.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))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))))
(/.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 (cos.f64 k) l) l) #s(literal 4 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.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 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #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 (cos.f64 k) (/.f64 (*.f64 l l) (pow.f64 (sin.f64 k) #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)))))
#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 l (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (cos.f64 k))) (*.f64 (*.f64 k t) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k k) t)))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) t) #s(literal 2 binary64))))
Calls

3 calls:

21.0ms
k
19.0ms
(*.f64 l l)
18.0ms
l
Results
AccuracySegmentsBranch
95.7%3k
94.1%2(*.f64 l l)
94.1%2l
Compiler

Compiled 5 to 10 computations (-100% saved)

regimes157.0ms (1.7%)

Memory
22.5MiB live, 220.9MiB allocated; 104ms collecting garbage
Counts
66 → 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (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))) (*.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 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) (/.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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 l t) l) #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 (/.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)))))
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 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 k (*.f64 k t))) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 (/.f64 l t) l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (*.f64 l (/.f64 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 #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))))
#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) #s(literal -1/3 binary64)) t)) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.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 (fma.f64 (/.f64 k t) (/.f64 k t) #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 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin k) -2) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))) 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 (/.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) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (*.f64 l (/.f64 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) (*.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)))
#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 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 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 #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))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.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 (*.f64 (/.f64 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.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))))
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(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 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (*.f64 k k) 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) (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 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 2 binary64) k) (*.f64 k t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) t) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 k l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (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 (*.f64 (*.f64 t t) t) (*.f64 l 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 (/.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))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))))
(/.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 (cos.f64 k) l) l) #s(literal 4 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) t) #s(literal 2 binary64))))
Calls

6 calls:

48.0ms
k
29.0ms
(*.f64 l l)
27.0ms
t
20.0ms
(/.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))))
16.0ms
l
Results
AccuracySegmentsBranch
85.1%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)))
85.1%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))))
85.1%1t
91.8%2(*.f64 l l)
91.8%2l
93.0%2k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes69.0ms (0.8%)

Memory
-35.2MiB live, 74.4MiB allocated; 28ms collecting garbage
Counts
59 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (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))) (*.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 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) (/.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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 l t) l) #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 (/.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)))))
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 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 k (*.f64 k t))) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 (/.f64 l t) l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (*.f64 l (/.f64 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 #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))))
#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) #s(literal -1/3 binary64)) t)) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.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 (fma.f64 (/.f64 k t) (/.f64 k t) #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 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin k) -2) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))) 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 (/.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) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (*.f64 l (/.f64 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) (*.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)))
#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 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 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 #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))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.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 (*.f64 (/.f64 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.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))))
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(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 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (*.f64 k k) 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) (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 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 2 binary64) k) (*.f64 k t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 #s(literal 2 binary64) k) (*.f64 k t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
Calls

3 calls:

15.0ms
(*.f64 l l)
15.0ms
l
15.0ms
k
Results
AccuracySegmentsBranch
85.9%2(*.f64 l l)
85.9%2l
87.9%2k
Compiler

Compiled 5 to 10 computations (-100% saved)

regimes18.0ms (0.2%)

Memory
-12.7MiB live, 34.0MiB allocated; 1ms collecting garbage
Counts
56 → 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (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))) (*.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 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) (/.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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 l t) l) #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 (/.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)))))
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 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 k (*.f64 k t))) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 (/.f64 l t) l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (*.f64 l (/.f64 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 #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))))
#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) #s(literal -1/3 binary64)) t)) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.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 (fma.f64 (/.f64 k t) (/.f64 k t) #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 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin k) -2) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))) 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 (/.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) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (*.f64 l (/.f64 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) (*.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)))
#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 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 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 #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))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.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 (*.f64 (/.f64 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.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))))
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(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 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (*.f64 k k) 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) (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 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 k) #s(literal -2 binary64))) t) #s(literal 2 binary64))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 k (*.f64 k t))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
Calls

1 calls:

15.0ms
k
Results
AccuracySegmentsBranch
87.8%2k
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes15.0ms (0.2%)

Memory
32.0MiB live, 32.0MiB allocated; 0ms collecting garbage
Counts
50 → 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (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))) (*.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 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) (/.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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 l t) l) #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 (/.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)))))
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 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 k (*.f64 k t))) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 (/.f64 l t) l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (*.f64 l (/.f64 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 #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))))
#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) #s(literal -1/3 binary64)) t)) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.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 (fma.f64 (/.f64 k t) (/.f64 k t) #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 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin k) -2) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))) 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 (/.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) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (*.f64 l (/.f64 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) (*.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)))
#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 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 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 #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))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.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 (*.f64 (/.f64 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.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))))
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
Calls

1 calls:

12.0ms
k
Results
AccuracySegmentsBranch
87.8%2k
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes99.0ms (1.1%)

Memory
-18.5MiB live, 123.4MiB allocated; 13ms collecting garbage
Counts
47 → 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (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))) (*.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 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) (/.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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 l t) l) #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 (/.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)))))
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 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 k (*.f64 k t))) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 (/.f64 l t) l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (*.f64 l (/.f64 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 #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))))
#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) #s(literal -1/3 binary64)) t)) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.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 (fma.f64 (/.f64 k t) (/.f64 k t) #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 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin k) -2) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))) 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 (/.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) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (*.f64 l (/.f64 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) (*.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)))
#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 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 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 #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))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.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 (*.f64 (/.f64 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.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))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
Calls

6 calls:

37.0ms
l
17.0ms
t
13.0ms
k
11.0ms
(*.f64 l l)
9.0ms
(/.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
75.8%2(*.f64 l l)
76.0%2l
74.1%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))))
74.1%1t
74.1%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)))
76.4%2k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes78.0ms (0.9%)

Memory
2.2MiB live, 48.8MiB allocated; 3ms collecting garbage
Counts
45 → 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (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))) (*.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 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) (/.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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 l t) l) #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 (/.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)))))
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 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 k (*.f64 k t))) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 (/.f64 l t) l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (*.f64 l (/.f64 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 #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))))
#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) #s(literal -1/3 binary64)) t)) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.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 (fma.f64 (/.f64 k t) (/.f64 k t) #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 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin k) -2) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))) 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 (/.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) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (*.f64 l (/.f64 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) (*.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)))
#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 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 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 #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))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin k) -2) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))) t) #s(literal 2 binary64))))
Calls

2 calls:

64.0ms
l
11.0ms
k
Results
AccuracySegmentsBranch
76.0%2l
77.4%3k
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes77.0ms (0.8%)

Memory
24.9MiB live, 62.5MiB allocated; 5ms collecting garbage
Counts
34 → 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (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))) (*.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 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) (/.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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 l t) l) #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 (/.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)))))
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 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 k (*.f64 k t))) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (/ 1 (pow (sin k) -2)) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 (/.f64 l t) l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (*.f64 l (/.f64 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 #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))))
#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) #s(literal -1/3 binary64)) t)) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.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 (fma.f64 (/.f64 k t) (/.f64 k t) #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 (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)))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 binary64))))))
Calls

2 calls:

65.0ms
k
9.0ms
l
Results
AccuracySegmentsBranch
74.1%1k
75.8%2l
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes98.0ms (1.1%)

Memory
7.8MiB live, 138.9MiB allocated; 37ms collecting garbage
Counts
26 → 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (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))) (*.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 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) (/.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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 l t) l) #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 (/.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)))))
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 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 k (*.f64 k t))) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
Outputs
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 binary64))))))
Calls

6 calls:

24.0ms
(*.f64 l l)
19.0ms
l
18.0ms
(/.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))))
13.0ms
t
11.0ms
(*.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
72.7%2k
70.7%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)))
70.7%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))))
70.7%1t
73.3%2(*.f64 l l)
73.4%2l
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes27.0ms (0.3%)

Memory
-3.6MiB live, 43.5MiB allocated; 2ms collecting garbage
Counts
23 → 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (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))) (*.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 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) l) (/.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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 l t) l) #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 (/.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)))))
Outputs
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k)))))
Calls

4 calls:

7.0ms
(*.f64 l l)
6.0ms
k
6.0ms
t
6.0ms
l
Results
AccuracySegmentsBranch
70.7%1t
70.7%1k
70.7%1(*.f64 l l)
70.7%1l
Compiler

Compiled 6 to 13 computations (-116.7% saved)

regimes62.0ms (0.7%)

Memory
-23.4MiB live, 28.7MiB allocated; 56ms collecting garbage
Counts
9 → 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k))) (*.f64 (*.f64 k k) t)))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (*.f64 l l) (*.f64 k k)))))
Calls

6 calls:

48.0ms
k
3.0ms
t
3.0ms
l
3.0ms
(*.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
64.0%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)))
64.0%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))))
64.0%1k
65.6%2l
65.6%2(*.f64 l l)
64.0%1t
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes14.0ms (0.1%)

Memory
22.5MiB live, 22.5MiB 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
Outputs
#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 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (*.f64 l l) (*.f64 k k)))))
Calls

6 calls:

2.0ms
l
2.0ms
k
2.0ms
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
63.9%1k
63.9%1t
63.9%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)))
63.9%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))))
63.9%1(*.f64 l l)
63.9%1l
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes15.0ms (0.2%)

Memory
-29.1MiB live, 21.7MiB allocated; 7ms 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:

6.0ms
l
2.0ms
t
2.0ms
k
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
16.2%1t
16.2%1l
16.2%1k
16.2%1(*.f64 l l)
16.2%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)))
16.2%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))))
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes2.0ms (0%)

Memory
3.2MiB live, 3.2MiB 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

1 calls:

2.0ms
k
Results
AccuracySegmentsBranch
16.2%1k
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

1.0ms
(*.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
l
1.0ms
k
1.0ms
t
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))))
Results
AccuracySegmentsBranch
14.0%1(*.f64 l l)
14.0%1l
14.0%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)))
14.0%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))))
14.0%1t
14.0%1k
Compiler

Compiled 54 to 50 computations (7.4% saved)

bsearch67.0ms (0.7%)

Memory
14.5MiB live, 60.6MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
4.923887574210528e+116
1.2287233748781263e+117
40.0ms
1.2533659780686805e-90
3.9253694768676953e-81
Samples
18.0ms119×0valid
17.0ms53×2valid
10.0ms32×3valid
4.0ms20×1valid
Compiler

Compiled 1 308 to 946 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-sin: 8.0ms (19.1% of total)
adjust: 7.0ms (16.7% of total)
ival-mult!: 7.0ms (16.7% of total)
ival-tan: 5.0ms (12% of total)
ival-div!: 5.0ms (12% of total)
ival-pow2: 4.0ms (9.6% of total)
ival-pow: 3.0ms (7.2% of total)
ival-add!: 1.0ms (2.4% of total)
ival-sub!: 1.0ms (2.4% of total)

bsearch58.0ms (0.6%)

Memory
9.7MiB live, 55.7MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
52.0ms
5.1484996042807324e+113
4.923887574210528e+116
1.0ms
1.2533659780686805e-90
3.9253694768676953e-81
Samples
25.0ms21×2valid
10.0ms67×0valid
9.0ms27×3valid
3.0ms13×1valid
Compiler

Compiled 1 558 to 1 113 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-add!: 20.0ms (47.6% of total)
adjust: 4.0ms (9.5% of total)
ival-mult!: 4.0ms (9.5% of total)
ival-pow2: 3.0ms (7.1% of total)
ival-div!: 3.0ms (7.1% of total)
ival-sin: 3.0ms (7.1% of total)
ival-tan: 2.0ms (4.8% of total)
ival-pow: 2.0ms (4.8% of total)
ival-sub!: 1.0ms (2.4% of total)

bsearch14.0ms (0.2%)

Memory
-34.9MiB live, 11.3MiB allocated; 10ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
5.1484996042807324e+113
4.923887574210528e+116
1.0ms
1.2533659780686805e-90
3.9253694768676953e-81
Samples
6.0ms2valid
1.0ms10×0valid
1.0ms3valid
0.0ms1valid
Compiler

Compiled 1 606 to 1 153 computations (28.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-pow: 6.0ms (70% of total)
ival-mult!: 1.0ms (11.7% of total)
ival-add!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-pow2: 0.0ms (0% of total)
ival-tan: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)
ival-sin: 0.0ms (0% of total)
ival-sub!: 0.0ms (0% of total)

bsearch39.0ms (0.4%)

Memory
9.1MiB live, 53.4MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
23.0ms
1.3099757867128366e+88
3.822313943649067e+88
12.0ms
1.247657986116185e-106
1.7988883623998896e-104
Samples
9.0ms32×2valid
9.0ms64×0valid
7.0ms21×1valid
4.0ms11×3valid
Compiler

Compiled 808 to 580 computations (28.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
adjust: 4.0ms (18.2% of total)
ival-mult!: 4.0ms (18.2% of total)
ival-tan: 3.0ms (13.7% of total)
ival-div!: 3.0ms (13.7% of total)
ival-sin: 3.0ms (13.7% of total)
ival-pow2: 2.0ms (9.1% of total)
ival-pow: 2.0ms (9.1% of total)
ival-add!: 1.0ms (4.6% of total)
ival-sub!: 1.0ms (4.6% of total)

bsearch37.0ms (0.4%)

Memory
15.0MiB live, 57.1MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
33.0ms
7.754198555401591e-13
2.0419842710439977e-8
Samples
10.0ms40×2valid
8.0ms20×1valid
7.0ms65×0valid
1.0ms3valid
Compiler

Compiled 876 to 625 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult!: 8.0ms (36.2% of total)
adjust: 3.0ms (13.6% of total)
ival-div!: 3.0ms (13.6% of total)
ival-pow2: 2.0ms (9% of total)
ival-pow: 2.0ms (9% of total)
ival-add!: 1.0ms (4.5% of total)
ival-tan: 1.0ms (4.5% of total)
ival-sin: 1.0ms (4.5% of total)
ival-sub!: 1.0ms (4.5% of total)

bsearch2.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
2.0ms
7.754198555401591e-13
2.0419842710439977e-8
Compiler

Compiled 860 to 609 computations (29.2% saved)

bsearch2.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
7.754198555401591e-13
2.0419842710439977e-8
Compiler

Compiled 860 to 609 computations (29.2% saved)

bsearch2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
7.754198555401591e-13
2.0419842710439977e-8
Compiler

Compiled 860 to 609 computations (29.2% saved)

bsearch34.0ms (0.4%)

Memory
8.8MiB live, 54.0MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
31.0ms
345293079006636.6
39525683129271660.0
Samples
11.0ms26×2valid
10.0ms68×0valid
3.0ms14×1valid
2.0ms3valid
Compiler

Compiled 756 to 536 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
adjust: 5.0ms (22.4% of total)
ival-sin: 4.0ms (17.9% of total)
ival-tan: 3.0ms (13.5% of total)
ival-mult!: 3.0ms (13.5% of total)
ival-pow2: 2.0ms (9% of total)
ival-div!: 2.0ms (9% of total)
ival-add!: 1.0ms (4.5% of total)
ival-pow: 1.0ms (4.5% of total)
ival-sub!: 0.0ms (0% of total)

bsearch36.0ms (0.4%)

Memory
-8.6MiB live, 50.7MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
33.0ms
4.722419702438246e+168
1.6697842380783472e+170
Samples
11.0ms28×2valid
8.0ms57×0valid
6.0ms19×3valid
2.0ms1valid
Compiler

Compiled 833 to 578 computations (30.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-pow2: 6.0ms (25.8% of total)
adjust: 4.0ms (17.2% of total)
ival-mult!: 4.0ms (17.2% of total)
ival-div!: 3.0ms (12.9% of total)
ival-sin: 3.0ms (12.9% of total)
ival-tan: 2.0ms (8.6% of total)
ival-add!: 1.0ms (4.3% of total)
ival-pow: 1.0ms (4.3% of total)
ival-sub!: 1.0ms (4.3% of total)

bsearch22.0ms (0.2%)

Memory
-24.8MiB live, 21.1MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
1.6697842380783472e+170
2.5553603318443033e+170
Samples
5.0ms33×0valid
4.0ms13×3valid
4.0ms13×2valid
1.0ms1valid
Compiler

Compiled 452 to 325 computations (28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
adjust: 2.0ms (17.4% of total)
ival-div!: 2.0ms (17.4% of total)
ival-mult!: 2.0ms (17.4% of total)
ival-pow2: 1.0ms (8.7% of total)
ival-tan: 1.0ms (8.7% of total)
ival-pow: 1.0ms (8.7% of total)
ival-sin: 1.0ms (8.7% of total)
ival-add!: 0.0ms (0% of total)
ival-sub!: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
1.6697842380783472e+170
2.5553603318443033e+170
Samples
2.0ms2valid
2.0ms16×0valid
2.0ms3valid
0.0ms1valid
Compiler

Compiled 444 to 305 computations (31.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
adjust: 1.0ms (17% of total)
ival-pow2: 1.0ms (17% of total)
ival-tan: 1.0ms (17% of total)
ival-div!: 1.0ms (17% of total)
ival-sin: 1.0ms (17% of total)
ival-mult!: 1.0ms (17% of total)
ival-add!: 0.0ms (0% of total)
ival-pow: 0.0ms (0% of total)
ival-sub!: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1666625956e-314
4.342505674337017e-303
Compiler

Compiled 28 to 25 computations (10.7% saved)

simplify90.0ms (1%)

Memory
16.8MiB live, 62.4MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02051896
13091880
27441792
338181792
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 l #s(literal 8202190217936295/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(literal 2 binary64))) (if (<=.f64 l #s(literal 1100000000000000069609375137205813511635074987436080345182813979911015633499725827430355909691574349808143157507915776 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 k t) (pow.f64 (sin.f64 k) #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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 k) #s(literal -2 binary64))) t) #s(literal 2 binary64))))))
(if (<=.f64 l #s(literal 8202190217936295/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(literal 2 binary64))) (if (<=.f64 l #s(literal 25499999999999998209514386518392572746336908503865701197759718907773824993930664023304128243457786692230083139076096 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 k t) (pow.f64 (sin.f64 k) #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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k))))))
(if (<=.f64 l #s(literal 8202190217936295/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(literal 2 binary64))) (if (<=.f64 l #s(literal 26000000000000000404544819366137918630973236319947597267614035091201678310283648284889620137791233639581363302563840 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 k t) (pow.f64 (sin.f64 k) #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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) t) #s(literal 2 binary64))))))
(if (<=.f64 k #s(literal 8263199609878107/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #s(literal 2 binary64)))) (if (<=.f64 k #s(literal 17000000000000000193507848147148331227012683895482932388127511604523445750969325880082432 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) t) #s(literal 2 binary64))))))
(if (<=.f64 k #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) t) #s(literal 2 binary64)))))
(if (<=.f64 k #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 #s(literal 2 binary64) k) (*.f64 k t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k))))))))
(if (<=.f64 k #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 k (*.f64 k t))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k))))))))
(if (<=.f64 k #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
(if (<=.f64 k #s(literal 17000000000000000 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))))
(if (<=.f64 l #s(literal 5400000000000000313237068604741917615509781079016096574471432270081252378355931883266940639694916954816653503183543400469505565716904531771403216526508631856152129306624 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin k) -2) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))) t) #s(literal 2 binary64)))))
(if (<=.f64 l #s(literal 249999999999999988493051682414217552933246928434775177457685388299072678321236453302084619426541603093431500462513415752646792023293472268477570680830895884286214627393536 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 binary64)))))))
(if (<=.f64 l #s(literal 214999999999999993321898350062450399420358358023309723208657230879376914009918096333016139924477053092800921957818360192883887104789038355791642660381747247630220341018624 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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k))))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k)))))
(if (<=.f64 (*.f64 l l) #s(literal 2024022533/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 l (/.f64 l t)))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (*.f64 l l) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.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))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
Outputs
(if (<=.f64 l #s(literal 8202190217936295/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(literal 2 binary64))) (if (<=.f64 l #s(literal 1100000000000000069609375137205813511635074987436080345182813979911015633499725827430355909691574349808143157507915776 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 k t) (pow.f64 (sin.f64 k) #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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 k) #s(literal -2 binary64))) t) #s(literal 2 binary64))))))
(if (<=.f64 l #s(literal 8202190217936295/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(literal 2 binary64))) (if (<=.f64 l #s(literal 25499999999999998209514386518392572746336908503865701197759718907773824993930664023304128243457786692230083139076096 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 k t) (pow.f64 (sin.f64 k) #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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k))))))
(if (<=.f64 l #s(literal 8202190217936295/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(literal 2 binary64))) (if (<=.f64 l #s(literal 26000000000000000404544819366137918630973236319947597267614035091201678310283648284889620137791233639581363302563840 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 k t) (pow.f64 (sin.f64 k) #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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) t) #s(literal 2 binary64))))))
(if (<=.f64 k #s(literal 8263199609878107/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #s(literal 2 binary64)))) (if (<=.f64 k #s(literal 17000000000000000193507848147148331227012683895482932388127511604523445750969325880082432 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) t) #s(literal 2 binary64))))))
(if (<=.f64 k #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) t) #s(literal 2 binary64)))))
(if (<=.f64 k #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 #s(literal 2 binary64) k) (*.f64 k t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k))))))))
(if (<=.f64 k #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 k (*.f64 k t))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k))))))))
(if (<=.f64 k #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
(if (<=.f64 k #s(literal 17000000000000000 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))))
(if (<=.f64 l #s(literal 5400000000000000313237068604741917615509781079016096574471432270081252378355931883266940639694916954816653503183543400469505565716904531771403216526508631856152129306624 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin k) -2) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))) t) #s(literal 2 binary64)))))
(if (<=.f64 l #s(literal 249999999999999988493051682414217552933246928434775177457685388299072678321236453302084619426541603093431500462513415752646792023293472268477570680830895884286214627393536 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (/ 1 (pow (sin k) -2)) t) (*.f64 (*.f64 k t) k)) #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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 binary64)))))))
(if (<=.f64 l #s(literal 214999999999999993321898350062450399420358358023309723208657230879376914009918096333016139924477053092800921957818360192883887104789038355791642660381747247630220341018624 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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k))))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k)))))
(if (<=.f64 (*.f64 l l) #s(literal 2024022533/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 l (/.f64 l t)))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (*.f64 l l) (*.f64 k k))))))
(if (<=.f64 (*.f64 l l) #s(literal 2024022533/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 l (/.f64 l t)))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (* (cos k) (/ (* l l) (pow (sin k) 2))) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.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))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))

derivations1.2s (13.1%)

Memory
-149.6MiB live, 456.1MiB allocated; 1.2s collecting garbage
Stop Event
fuel
Compiler

Compiled 1 896 to 208 computations (89% saved)

preprocess130.0ms (1.4%)

Memory
-33.6MiB live, 201.1MiB allocated; 47ms collecting garbage
Remove

(negabs t)

(abs k)

Compiler

Compiled 6 194 to 1 366 computations (77.9% saved)

end0.0ms (0%)

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

Profiling

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