Toniolo and Linder, Equation (10-)

Time bar (total: 6.8s)

start0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

analyze694.0ms (10.2%)

Memory
-19.7MiB live, 1 018.6MiB allocated; 188ms 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)

sample2.5s (36.8%)

Memory
97.1MiB live, 3 551.4MiB allocated; 647ms collecting garbage
Samples
747.0ms4 223×0valid
514.0ms1 378×3valid
477.0ms1 553×2valid
321.0ms1 091×1valid
4.0ms11×4valid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
adjust: 368.0ms (20.7% of total)
ival-mult!: 322.0ms (18.1% of total)
ival-div!: 222.0ms (12.5% of total)
ival-sin: 211.0ms (11.9% of total)
ival-pow2: 184.0ms (10.3% of total)
ival-pow: 184.0ms (10.3% of total)
ival-tan: 182.0ms (10.2% of total)
ival-sub!: 58.0ms (3.3% of total)
ival-add!: 45.0ms (2.5% of total)
Bogosity

preprocess43.0ms (0.6%)

Memory
-31.6MiB live, 60.5MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
086256
1250230
21176210
37995210
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.8%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Symmetry

(abs l)

(abs k)

(negabs t)

Compiler

Compiled 42 to 38 computations (9.5% saved)

series62.0ms (0.9%)

Memory
-3.7MiB live, 139.6MiB allocated; 18ms 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
15.0ms
t
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))
8.0ms
t
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))
7.0ms
k
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))
7.0ms
k
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))
6.0ms
k
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))

rewrite170.0ms (2.5%)

Memory
44.1MiB live, 228.4MiB allocated; 25ms 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 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k))))) (neg.f64 (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (*.f64 (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) (neg.f64 (*.f64 (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k))))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k)))))))
(/.f64 #s(literal 2 binary64) (*.f64 (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k))))))
#s(literal 2 binary64)
(*.f64 (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k))))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (*.f64 (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 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k)) (*.f64 (tan.f64 k) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k)))
(*.f64 (tan.f64 k) (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k)))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
(/.f64 (*.f64 (neg.f64 (sin.f64 k)) (neg.f64 (*.f64 (sin.f64 k) (*.f64 (*.f64 t t) t)))) (*.f64 (neg.f64 (cos.f64 k)) (neg.f64 (*.f64 l l))))
(/.f64 (*.f64 (neg.f64 (sin.f64 k)) (*.f64 (sin.f64 k) (*.f64 (*.f64 t t) t))) (*.f64 (neg.f64 (cos.f64 k)) (*.f64 l l)))
(/.f64 (*.f64 (sin.f64 k) (neg.f64 (*.f64 (sin.f64 k) (*.f64 (*.f64 t t) t)))) (*.f64 (cos.f64 k) (neg.f64 (*.f64 l l))))
(/.f64 (*.f64 (sin.f64 k) (*.f64 (sin.f64 k) (*.f64 (*.f64 t t) t))) (*.f64 (cos.f64 k) (*.f64 l l)))
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 k) (*.f64 (*.f64 t t) t))) (neg.f64 (sin.f64 k))) (*.f64 (neg.f64 (*.f64 l l)) (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 k) (*.f64 (*.f64 t t) t))) (sin.f64 k)) (*.f64 (neg.f64 (*.f64 l l)) (cos.f64 k)))
(/.f64 (*.f64 (*.f64 (sin.f64 k) (*.f64 (*.f64 t t) t)) (neg.f64 (sin.f64 k))) (*.f64 (*.f64 l l) (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (*.f64 (sin.f64 k) (*.f64 (*.f64 t t) t)) (sin.f64 k)) (*.f64 (cos.f64 k) (*.f64 l l)))
(*.f64 (/.f64 (sin.f64 k) (neg.f64 l)) (/.f64 (*.f64 (*.f64 t t) t) (neg.f64 l)))
(*.f64 (/.f64 (sin.f64 k) (fabs.f64 l)) (/.f64 (*.f64 (*.f64 t t) t) (fabs.f64 l)))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (*.f64 (*.f64 t t) t) l))
(*.f64 (/.f64 (*.f64 (*.f64 t t) t) (neg.f64 l)) (/.f64 (sin.f64 k) (neg.f64 l)))
(*.f64 (/.f64 (*.f64 (*.f64 t t) t) (fabs.f64 l)) (/.f64 (sin.f64 k) (fabs.f64 l)))
(*.f64 (/.f64 (*.f64 (*.f64 t t) t) l) (/.f64 (sin.f64 k) l))
(*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k))
(*.f64 (sin.f64 k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))
(*.f64 (*.f64 (*.f64 t t) t) (/.f64 (sin.f64 k) (*.f64 l l)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 k) (*.f64 (*.f64 t t) t)))) (neg.f64 (neg.f64 (*.f64 l l))))
(/.f64 (neg.f64 (*.f64 (sin.f64 k) (*.f64 (*.f64 t t) t))) (neg.f64 (*.f64 l l)))
(/.f64 (*.f64 (sin.f64 k) (*.f64 (*.f64 t t) t)) (*.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 (*.f64 (*.f64 t t) t) l)) (neg.f64 l))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 t t) t))) (neg.f64 (neg.f64 (*.f64 l l))))
(/.f64 (/.f64 (*.f64 (*.f64 t t) t) l) l)
(/.f64 (neg.f64 (*.f64 (*.f64 t t) t)) (neg.f64 (*.f64 l l)))
(/.f64 (*.f64 (*.f64 t t) t) (*.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 (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #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) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 6 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 k t) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))))) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 k t) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) (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)))
(/.f64 (expm1.f64 (*.f64 (log.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64))) (+.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.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))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 (*.f64 (log.f64 (/.f64 k t)) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 k t) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 k k (*.f64 t t)))) (neg.f64 (neg.f64 (*.f64 t t))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 k t) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t)))))))
(/.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 (fma.f64 (*.f64 k k) (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 t t)))
(/.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) (/.f64 (*.f64 k k) (*.f64 t t))))
(/.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) (/.f64 (*.f64 k k) (*.f64 t t))))))
(/.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) (/.f64 (*.f64 k k) (*.f64 t t)))) (/.f64 (pow.f64 (/.f64 k t) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t)))))
(+.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) (/.f64 (*.f64 k k) (*.f64 t t)))))) (/.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) (/.f64 (*.f64 k k) (*.f64 t t)))))))
(+.f64 (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t)))
#s(literal 1 binary64)
(*.f64 (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 (/.f64 (*.f64 k k) (*.f64 t t)) #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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 k k))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 k k)) (*.f64 (cos.f64 k) (*.f64 l l))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 (*.f64 t t) t) (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k)))
#s(approx (/ (pow t 3) (* l l)) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))
#s(approx (pow t 3) (*.f64 (*.f64 t t) t))
#s(approx t t)
#s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))
#s(approx (+ 1 (pow (/ k t) 2)) (/.f64 (*.f64 k k) (*.f64 t t)))
#s(approx (+ 1 (pow (/ k t) 2)) (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)))
#s(approx (pow (/ k t) 2) (/.f64 (*.f64 k k) (*.f64 t t)))
#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)) (fma.f64 (/.f64 k t) (/.f64 k t) #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) (*.f64 l l)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.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 (fma.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.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))) (*.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 (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))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (/.f64 (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))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.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 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))) (*.f64 k k) (/.f64 t (*.f64 l l))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) (*.f64 (*.f64 t t) t)) (*.f64 (*.f64 t t) t)) (*.f64 l l)) (*.f64 k k)))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 t t) t) (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) (*.f64 (*.f64 t t) t)))) (*.f64 l l)) (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 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 31/360 binary64) (*.f64 (*.f64 t t) t) (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) (*.f64 (*.f64 t t) t)))) (*.f64 l l)) (*.f64 k k) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l))) (*.f64 k k)))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 (*.f64 (*.f64 t t) t) k) (*.f64 l l)))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 k k) (*.f64 (*.f64 t t) t)) (*.f64 (*.f64 t t) t)) (*.f64 l l)) k))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 t t) t) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 k k) (*.f64 (*.f64 t t) t)))) (*.f64 l l)) (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l))) k))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 t t) t) (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 k k) (*.f64 (*.f64 t t) t)))) (*.f64 l l)) (*.f64 k k) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 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 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (*.f64 k k))))

eval30.0ms (0.4%)

Memory
-10.1MiB live, 35.7MiB allocated; 3ms collecting garbage
Compiler

Compiled 2 274 to 1 083 computations (52.4% saved)

prune20.0ms (0.3%)

Memory
-19.2MiB live, 35.1MiB allocated; 9ms collecting garbage
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New16118179
Fresh000
Picked101
Done000
Total16218180
Accuracy
78.7%
Counts
180 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.8%
(/.f64 #s(literal 2 binary64) (*.f64 (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k)))))
33.8%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k)) (*.f64 (tan.f64 k) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)))))
22.5%
(/.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 #s(approx (+ 1 (pow (/ k t) 2)) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
23.4%
(/.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))))
26.0%
(/.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)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
31.2%
(/.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 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
46.0%
(/.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))))
42.8%
(/.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))))
46.0%
(/.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))))
32.2%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 (*.f64 (*.f64 t t) t) 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))))
30.8%
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
67.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 k k)) (*.f64 (cos.f64 k) (*.f64 l l)))))
58.1%
(/.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))) (*.f64 (*.f64 k k) (*.f64 k k)))))
58.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
57.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
46.5%
#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) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
67.7%
#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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 k k))))
61.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
Compiler

Compiled 956 to 902 computations (5.6% saved)

series120.0ms (1.8%)

Memory
-12.7MiB live, 220.7MiB allocated; 68ms collecting garbage
Counts
49 → 105
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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 k k))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 k k)))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 k) (*.f64 l l)))
#s(literal 2 binary64)
(*.f64 (cos.f64 k) (*.f64 l l))
(cos.f64 k)
k
(*.f64 l l)
l
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 k k))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t)
(-.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)
t
(*.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 l l)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t))
(*.f64 #s(literal 2 binary64) (*.f64 l l))
(*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)
(*.f64 (*.f64 k k) (*.f64 k k))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l))))
(*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))
(/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l))
(*.f64 (*.f64 t t) t)
(*.f64 t t)
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 k t)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 k k)) (*.f64 (cos.f64 k) (*.f64 l l)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 k k)) (*.f64 (cos.f64 k) (*.f64 l l))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 k k)) (*.f64 (cos.f64 k) (*.f64 l l)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
(*.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) (/.f64 (*.f64 k k) (*.f64 t t))))
(*.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)
(sin.f64 k)
(tan.f64 k)
#s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))
(/.f64 (*.f64 k k) (*.f64 t t))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (/ (* 2 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))))
#s(approx (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) #s(hole binary64 (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) #s(hole binary64 (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
#s(approx t #s(hole binary64 t))
#s(approx (/ (* 2 (* l l)) (* (* (* k k) (* k k)) t)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* (* (* k k) (* k k)) t) #s(hole binary64 (* (pow k 4) 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 (* (* k k) (/ (* (* t t) t) (* l l))) #s(hole binary64 (/ (* (pow k 2) (pow t 3)) (pow l 2))))
#s(approx (/ (* (* t t) t) (* l l)) #s(hole binary64 (/ (pow t 3) (pow l 2))))
#s(approx (* (* t t) t) #s(hole binary64 (pow t 3)))
#s(approx (* t t) #s(hole binary64 (pow t 2)))
#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 (/ (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (* (cos k) (* l l))) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (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 (/ (* k k) (* t t)) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 1))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (+ 1 (/ (pow k 2) (pow t 2)))))
#s(approx (* 2 (* (cos k) (* l l))) #s(hole binary64 (* 2 (* (pow l 2) (cos 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 l #s(hole binary64 l))
#s(approx (* 2 (* l l)) #s(hole binary64 (* 2 (pow l 2))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (/ (* 2 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (* 2 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k 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 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k 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 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k 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 (* 2 (* (cos k) (* l l))) #s(hole binary64 (* 2 (pow l 2))))
#s(approx (* 2 (* (cos k) (* l l))) #s(hole binary64 (+ (* -1 (* (pow k 2) (pow l 2))) (* 2 (pow l 2)))))
#s(approx (* 2 (* (cos k) (* l l))) #s(hole binary64 (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1 (pow l 2)) (* 1/12 (* (pow k 2) (pow l 2))))))))
#s(approx (* 2 (* (cos k) (* l l))) #s(hole binary64 (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1 (pow l 2)) (* (pow k 2) (+ (* -1/360 (* (pow k 2) (pow l 2))) (* 1/12 (pow l 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 k #s(hole binary64 k))
#s(approx (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) #s(hole binary64 (* (pow k 4) t)))
#s(approx (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) #s(hole binary64 (* (pow k 4) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) #s(hole binary64 (* (pow k 4) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) #s(hole binary64 (* (pow k 4) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) #s(hole binary64 (* (pow k 2) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 k)))) 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 (- 1/2 (* 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 (* k k) #s(hole binary64 (pow k 2)))
#s(approx (* (* k k) (* k k)) #s(hole binary64 (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 (/ (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (* (cos k) (* l l))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (/ (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (* (cos k) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (* (cos k) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (* (cos k) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (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 (tan k) #s(hole binary64 k))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* 1/3 (pow k 2))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* 2/15 (pow k 2))))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 2/15 (* 17/315 (pow k 2))))))))))
#s(approx (cos k) #s(hole binary64 (cos k)))
#s(approx (- 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 (+ 1 (pow (/ k t) 2)) #s(hole binary64 (* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (tan k) #s(hole binary64 (/ (sin k) (cos k))))
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 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k))) (* 2 (* (cos k) (* l l))) 2 (* (cos k) (* l l)) (cos k) k (* l l) l (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k) t (* k k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* l l)) (* (* (* k k) (* k k)) t)) (* 2 (* l l)) (* (* (* k k) (* k k)) t) (* (* k k) (* k k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (* k k) (/ (* (* t t) t) (* l l))) (/ (* (* t t) t) (* l l)) (* (* t t) t) (* t t) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (* (cos k) (* l l))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) 3 (sin k) (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (/ (* k k) (* t t)))
17.0ms
t
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k))) (* 2 (* (cos k) (* l l))) 2 (* (cos k) (* l l)) (cos k) k (* l l) l (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k) t (* k k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* l l)) (* (* (* k k) (* k k)) t)) (* 2 (* l l)) (* (* (* k k) (* k k)) t) (* (* k k) (* k k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (* k k) (/ (* (* t t) t) (* l l))) (/ (* (* t t) t) (* l l)) (* (* t t) t) (* t t) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (* (cos k) (* l l))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) 3 (sin k) (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (/ (* k k) (* t t)))
12.0ms
t
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k))) (* 2 (* (cos k) (* l l))) 2 (* (cos k) (* l l)) (cos k) k (* l l) l (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k) t (* k k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* l l)) (* (* (* k k) (* k k)) t)) (* 2 (* l l)) (* (* (* k k) (* k k)) t) (* (* k k) (* k k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (* k k) (/ (* (* t t) t) (* l l))) (/ (* (* t t) t) (* l l)) (* (* t t) t) (* t t) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (* (cos k) (* l l))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) 3 (sin k) (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (/ (* k k) (* t t)))
10.0ms
t
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k))) (* 2 (* (cos k) (* l l))) 2 (* (cos k) (* l l)) (cos k) k (* l l) l (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k) t (* k k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* l l)) (* (* (* k k) (* k k)) t)) (* 2 (* l l)) (* (* (* k k) (* k k)) t) (* (* k k) (* k k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (* k k) (/ (* (* t t) t) (* l l))) (/ (* (* t t) t) (* l l)) (* (* t t) t) (* t t) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (* (cos k) (* l l))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) 3 (sin k) (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (/ (* k k) (* t t)))
9.0ms
k
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k))) (* 2 (* (cos k) (* l l))) 2 (* (cos k) (* l l)) (cos k) k (* l l) l (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k) t (* k k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* l l)) (* (* (* k k) (* k k)) t)) (* 2 (* l l)) (* (* (* k k) (* k k)) t) (* (* k k) (* k k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (* k k) (/ (* (* t t) t) (* l l))) (/ (* (* t t) t) (* l l)) (* (* t t) t) (* t t) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (* (cos k) (* l l))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) 3 (sin k) (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (/ (* k k) (* t t)))

rewrite169.0ms (2.5%)

Memory
8.7MiB live, 288.6MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05333648
06053273
131513225
081303129
Stop Event
iter-limit
node-limit
iter-limit
Counts
154 → 488
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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 k k))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 k k)))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 k) (*.f64 l l)))
#s(literal 2 binary64)
(*.f64 (cos.f64 k) (*.f64 l l))
(cos.f64 k)
k
(*.f64 l l)
l
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 k k))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t)
(-.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)
t
(*.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 l l)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t))
(*.f64 #s(literal 2 binary64) (*.f64 l l))
(*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)
(*.f64 (*.f64 k k) (*.f64 k k))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
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(/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l))
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#s(literal 1 binary64)
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
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(/.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) (/.f64 (*.f64 k k) (*.f64 t t)))))
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(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
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(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
(pow.f64 t #s(literal 3 binary64))
#s(literal 3 binary64)
(sin.f64 k)
(tan.f64 k)
#s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))
(/.f64 (*.f64 k k) (*.f64 t 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 (/ (* 2 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))))
#s(approx (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) #s(hole binary64 (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) #s(hole binary64 (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
#s(approx t #s(hole binary64 t))
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#s(approx (* (* (* k k) (* k k)) t) #s(hole binary64 (* (pow k 4) 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 (* (* k k) (/ (* (* t t) t) (* l l))) #s(hole binary64 (/ (* (pow k 2) (pow t 3)) (pow l 2))))
#s(approx (/ (* (* t t) t) (* l l)) #s(hole binary64 (/ (pow t 3) (pow l 2))))
#s(approx (* (* t t) t) #s(hole binary64 (pow t 3)))
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#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 (/ (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (* (cos k) (* l l))) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (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 (/ (* k k) (* t t)) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 1))
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#s(approx (* 2 (* (cos k) (* l l))) #s(hole binary64 (* 2 (* (pow l 2) (cos 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 l #s(hole binary64 l))
#s(approx (* 2 (* l l)) #s(hole binary64 (* 2 (pow l 2))))
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#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 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (* 2 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k 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 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k 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 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k 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 (* 2 (* (cos k) (* l l))) #s(hole binary64 (* 2 (pow l 2))))
#s(approx (* 2 (* (cos k) (* l l))) #s(hole binary64 (+ (* -1 (* (pow k 2) (pow l 2))) (* 2 (pow l 2)))))
#s(approx (* 2 (* (cos k) (* l l))) #s(hole binary64 (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1 (pow l 2)) (* 1/12 (* (pow k 2) (pow l 2))))))))
#s(approx (* 2 (* (cos k) (* l l))) #s(hole binary64 (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1 (pow l 2)) (* (pow k 2) (+ (* -1/360 (* (pow k 2) (pow l 2))) (* 1/12 (pow l 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 k #s(hole binary64 k))
#s(approx (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) #s(hole binary64 (* (pow k 4) t)))
#s(approx (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) #s(hole binary64 (* (pow k 4) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) #s(hole binary64 (* (pow k 4) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) #s(hole binary64 (* (pow k 4) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) #s(hole binary64 (* (pow k 2) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 k)))) 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 (- 1/2 (* 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 (* k k) #s(hole binary64 (pow k 2)))
#s(approx (* (* k k) (* k k)) #s(hole binary64 (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))))
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#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 (/ (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (* (cos k) (* l l))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (/ (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (* (cos k) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (* (cos k) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (* (cos k) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (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 (tan k) #s(hole binary64 k))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* 1/3 (pow k 2))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* 2/15 (pow k 2))))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 2/15 (* 17/315 (pow k 2))))))))))
#s(approx (cos k) #s(hole binary64 (cos k)))
#s(approx (- 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 (+ 1 (pow (/ k t) 2)) #s(hole binary64 (* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (tan k) #s(hole binary64 (/ (sin k) (cos k))))
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) l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 k k)))
(*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 k k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 k k))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))) (neg.f64 (*.f64 k k)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k))))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 k k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 k k))) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k))))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 k k)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 k k)))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 k k)) (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k))))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 k k)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 k k)))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)) (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)) (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 k k)))) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)))) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k))))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (*.f64 k k))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k))
(fma.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)))
(fma.f64 (*.f64 l l) (/.f64 (cos.f64 k) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)))
(+.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)))
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 l l))
(*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k))
(*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 k) l) l))
(fma.f64 (*.f64 (cos.f64 k) l) l (*.f64 (*.f64 (cos.f64 k) l) l))
(fma.f64 (cos.f64 k) (*.f64 l l) (*.f64 (*.f64 (cos.f64 k) l) l))
(fma.f64 (*.f64 l l) (cos.f64 k) (*.f64 (*.f64 (cos.f64 k) l) l))
(+.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (*.f64 (cos.f64 k) l) l))
#s(literal 2 binary64)
(*.f64 (*.f64 (cos.f64 k) l) l)
(*.f64 (cos.f64 k) (*.f64 l l))
(*.f64 (*.f64 l l) (cos.f64 k))
(sin.f64 (+.f64 (neg.f64 k) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 k (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 k) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 k) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 k)))
(cos.f64 (neg.f64 k))
(cos.f64 k)
(+.f64 (*.f64 (sin.f64 k) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 k) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
k
(*.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 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)
(*.f64 (*.f64 (*.f64 k k) t) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (*.f64 k k))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) (*.f64 (*.f64 k k) t))
(*.f64 (*.f64 k k) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)
(*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))))
(*.f64 (fabs.f64 (sin.f64 k)) (fabs.f64 (sin.f64 k)))
(*.f64 (exp.f64 (log.f64 (sin.f64 k))) (exp.f64 (log.f64 (sin.f64 k))))
(*.f64 (neg.f64 (sin.f64 k)) (neg.f64 (sin.f64 k)))
(*.f64 (sin.f64 k) (sin.f64 k))
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(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))))
#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 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)))
#s(approx (/ (* 2 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)))
#s(approx (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))
#s(approx t t)
#s(approx (/ (* 2 (* l l)) (* (* (* k k) (* k k)) t)) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) t)))
#s(approx (* (* (* k k) (* k k)) t) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) t))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 (*.f64 (cos.f64 k) l) l)))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 (*.f64 t t) t) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (cos.f64 k) l) l))))
#s(approx (* (* k k) (/ (* (* t t) t) (* l l))) (*.f64 k (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))))
#s(approx (/ (* (* t t) t) (* l l)) (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))))
#s(approx (* (* t t) t) (*.f64 (*.f64 t t) t))
#s(approx (* t t) (*.f64 t t))
#s(approx (- (+ 1 (pow (/ k t) 2)) 1) (*.f64 k (/.f64 k (*.f64 t t))))
#s(approx (+ 1 (pow (/ k t) 2)) (*.f64 k (/.f64 k (*.f64 t t))))
#s(approx (+ 1 (pow (/ k t) 2)) (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 1 binary64)))
#s(approx (pow (/ k t) 2) (*.f64 k (/.f64 k (*.f64 t t))))
#s(approx (/ k t) (/.f64 k t))
#s(approx (/ (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (* (cos k) (* l l))) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 (*.f64 (cos.f64 k) l) l)))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (sin.f64 k)))
#s(approx (/ (* (* t t) t) (* l l)) (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))))
#s(approx (* (* t t) t) (*.f64 (*.f64 t t) t))
#s(approx (pow (/ k t) 2) (*.f64 k (/.f64 k (*.f64 t t))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64))
#s(approx (+ 1 (pow (/ k t) 2)) (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 1 binary64)))
#s(approx (* 2 (* (cos k) (* l l))) (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)))
#s(approx (* (cos k) (* l l)) (*.f64 (*.f64 (cos.f64 k) l) l))
#s(approx (* l l) (*.f64 l l))
#s(approx l l)
#s(approx (* 2 (* l l)) (*.f64 (*.f64 l l) #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 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) 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) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (*.f64 (*.f64 (*.f64 k k) k) k)))
#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 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.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))) (*.f64 (*.f64 (*.f64 k k) k) k)))
#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))) (*.f64 (*.f64 (*.f64 k k) k) k)))
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#s(approx (* 2 (* (cos k) (* l l))) (*.f64 (*.f64 l l) #s(literal 2 binary64)))
#s(approx (* 2 (* (cos k) (* l l))) (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (neg.f64 (*.f64 k k)) (*.f64 l l))))
#s(approx (* 2 (* (cos k) (* l l))) (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 k k)) (*.f64 l l) (neg.f64 (*.f64 l l))) (*.f64 k k))))
#s(approx (* 2 (* (cos k) (* l l))) (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/360 binary64) (*.f64 k k)) (*.f64 l l) (*.f64 #s(literal 1/12 binary64) (*.f64 l l))) (*.f64 k k) (neg.f64 (*.f64 l l))) (*.f64 k k))))
#s(approx (* (cos k) (* l l)) (*.f64 l l))
#s(approx (* (cos k) (* l l)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 k k)) (*.f64 l l) (*.f64 l l)))
#s(approx (* (cos k) (* l l)) (fma.f64 (*.f64 k k) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) (*.f64 l l) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 l l)))
#s(approx (* (cos k) (* l l)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 k k)) (*.f64 l l) (*.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) #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 (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) t))
#s(approx (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (*.f64 (fma.f64 (*.f64 (*.f64 k k) t) #s(literal -1/3 binary64) t) (*.f64 (*.f64 (*.f64 k k) k) k)))
#s(approx (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 k k) t) #s(literal 2/45 binary64) (*.f64 #s(literal -1/3 binary64) t)) (*.f64 k k) t) (*.f64 (*.f64 (*.f64 k k) k) k)))
#s(approx (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (*.f64 (fma.f64 (fma.f64 (*.f64 k k) (fma.f64 (*.f64 (*.f64 k k) t) #s(literal -1/315 binary64) (*.f64 #s(literal 2/45 binary64) t)) (*.f64 #s(literal -1/3 binary64) t)) (*.f64 k k) t) (*.f64 (*.f64 (*.f64 k k) k) k)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (*.f64 (*.f64 k k) t))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (*.f64 (fma.f64 (*.f64 (*.f64 k k) t) #s(literal -1/3 binary64) t) (*.f64 k k)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 k k) t) #s(literal 2/45 binary64) (*.f64 #s(literal -1/3 binary64) t)) (*.f64 k k) t) (*.f64 k k)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (*.f64 (fma.f64 (fma.f64 (*.f64 k k) (fma.f64 (*.f64 (*.f64 k k) t) #s(literal -1/315 binary64) (*.f64 #s(literal 2/45 binary64) t)) (*.f64 #s(literal -1/3 binary64) t)) (*.f64 k k) t) (*.f64 k k)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 k k))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.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 (- 1/2 (* 1/2 (cos (* 2 k)))) (*.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))) (+.f64 (neg.f64 (*.f64 k k)) #s(literal 1/2 binary64)))
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#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 #s(literal -2 binary64) (*.f64 k k) #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 k))
#s(approx (* k k) (*.f64 k k))
#s(approx (* (* k k) (* k k)) (*.f64 (*.f64 (*.f64 k k) k) k))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (*.f64 l l))))
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#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))) (*.f64 (*.f64 (*.f64 k k) k) k)))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.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 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))) (*.f64 k k) (/.f64 t (*.f64 l l))) (*.f64 (*.f64 (*.f64 k k) k) k)))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 k (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))))
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#s(approx (/ (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k)) (* (cos k) (* l l))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 t (*.f64 l l)) #s(literal 2/45 binary64) (*.f64 (-.f64 (*.f64 (/.f64 t (*.f64 l l)) #s(literal -1/315 binary64)) (fma.f64 (-.f64 (*.f64 (/.f64 t (*.f64 l l)) #s(literal 2/45 binary64)) (fma.f64 (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/24 binary64)))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64)) #s(literal 1/24 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal -1/720 binary64))))) (*.f64 k k))) (fma.f64 (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/24 binary64)))) (*.f64 k k) (*.f64 (/.f64 t (*.f64 l l)) #s(literal -1/3 binary64))) (*.f64 (/.f64 t (*.f64 l l)) #s(literal -1/2 binary64))) (*.f64 k k) (/.f64 t (*.f64 l l))) (*.f64 (*.f64 (*.f64 k k) k) k)))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l)))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 k k) (*.f64 (*.f64 t t) t)) (*.f64 (*.f64 t t) t)) (*.f64 l l)) k))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 t t) t) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 k k) (*.f64 (*.f64 t t) t)))) (*.f64 l l)) (*.f64 k k) (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))) k))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 t t) t) (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 k k) (*.f64 (*.f64 t t) t)))) (*.f64 l l)) (*.f64 k k) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))))) (*.f64 k k) (*.f64 (*.f64 t t) (/.f64 t (*.f64 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 (tan k) k)
#s(approx (tan k) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (tan k) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 k k) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (tan k) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 k k) #s(literal 2/15 binary64)) (*.f64 k k) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (cos k) (cos.f64 k))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 k))) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 k)) (cos.f64 (+.f64 k k)))
#s(approx (+ 1 (pow (/ k t) 2)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (*.f64 k k))))
#s(approx (sin k) (sin.f64 k))
#s(approx (tan k) (tan.f64 k))

eval61.0ms (0.9%)

Memory
-42.1MiB live, 150.2MiB allocated; 19ms collecting garbage
Compiler

Compiled 7 994 to 3 138 computations (60.7% saved)

prune47.0ms (0.7%)

Memory
-2.7MiB live, 97.5MiB allocated; 11ms collecting garbage
Pruning

38 alts after pruning (37 fresh and 1 done)

PrunedKeptTotal
New63729666
Fresh5813
Picked415
Done000
Total64638684
Accuracy
82.8%
Counts
684 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.5%
(/.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 #s(approx (+ 1 (pow (/ k t) 2)) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
23.4%
(/.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))))
46.0%
(/.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))))
42.8%
(/.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))))
26.8%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 t t) t) (/.f64 (sin.f64 k) (*.f64 l l))) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
31.9%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (*.f64 (sin.f64 k) (tan.f64 k))) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (*.f64 k (/.f64 k (*.f64 t t))))))
46.0%
(/.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))))
24.1%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
35.9%
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (*.f64 k k))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
23.8%
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (*.f64 k (/.f64 k (*.f64 t t)))) #s(literal 1 binary64))))
20.9%
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
38.3%
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
70.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) (cos.f64 k))))
70.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (cos.f64 k)) (*.f64 l l))))
67.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))))) t) (*.f64 k k)) (*.f64 (cos.f64 k) (*.f64 l l)))))
58.1%
(/.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))) (*.f64 (*.f64 (*.f64 k k) k) k))))
67.8%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (cos.f64 k)) (/.f64 (*.f64 k k) (*.f64 l l)))))
58.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
57.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (*.f64 l l)))))
58.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
57.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
46.5%
#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) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
67.8%
#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) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (*.f64 k k)))
60.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 k k) k) k)) t))
67.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.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 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)))
61.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) t)))
67.8%
#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 (cos.f64 k) (*.f64 l l))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) (*.f64 (*.f64 k k) t))))
73.3%
#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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 k k))))
34.7%
#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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 binary64))) t) (*.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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)))
61.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
62.3%
#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 l l)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
60.7%
#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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 k k)) #s(literal 2 binary64))) t)))
60.7%
#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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) t)))
58.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* (cos k) (* l l)) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 k k))))
67.8%
#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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 k k))))
24.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* 2 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k))) (/.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))) (*.f64 (*.f64 (*.f64 k k) k) k))))
Compiler

Compiled 2 296 to 2 223 computations (3.2% saved)

series198.0ms (2.9%)

Memory
2.9MiB live, 192.6MiB allocated; 23ms collecting garbage
Counts
49 → 138
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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 k k))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 k k)))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 k) (*.f64 l l)))
#s(literal 2 binary64)
(*.f64 (cos.f64 k) (*.f64 l l))
(cos.f64 k)
k
(*.f64 l l)
l
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 k k))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
t
(*.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 l l)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t)))
(*.f64 #s(literal 2 binary64) (*.f64 l l))
(*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))
(*.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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 k k)) #s(literal 2 binary64))) t)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 k k)) #s(literal 2 binary64))) t))
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 k k)) #s(literal 2 binary64))) t)
(exp.f64 (*.f64 (log.f64 (*.f64 k k)) #s(literal 2 binary64)))
(*.f64 (log.f64 (*.f64 k k)) #s(literal 2 binary64))
(log.f64 (*.f64 k k))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
(*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t))))
(*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) (tan.f64 k))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l)))
(/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))
(*.f64 k (*.f64 (*.f64 t t) t))
(*.f64 (*.f64 t t) t)
(*.f64 t t)
(tan.f64 k)
#s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))
(/.f64 (*.f64 k k) (*.f64 t t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) (cos.f64 k))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) (cos.f64 k)))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) (cos.f64 k))
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 k k))
(+.f64 k k)
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (/ (* 2 (* (cos k) (* l l))) (* (* (pow (sin k) 2) t) (* k k))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (pow (sin k) 2) t) (* k k)) #s(hole binary64 (* (pow k 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 (* l l)) (* (* k k) (* (* k k) t))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* (* k k) (* (* k k) t)) #s(hole binary64 (* (pow k 4) t)))
#s(approx (* (* k k) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (* 2 (* l l)) (* (exp (* (log (* k k)) 2)) t)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* (exp (* (log (* k k)) 2)) t) #s(hole binary64 (* (pow k 4) 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 (/ (* k (* (* t t) t)) (* l l)) #s(hole binary64 (/ (* k (pow t 3)) (pow l 2))))
#s(approx (* k (* (* t t) t)) #s(hole binary64 (* k (pow t 3))))
#s(approx (* (* t t) t) #s(hole binary64 (pow t 3)))
#s(approx (* t t) #s(hole binary64 (pow t 2)))
#s(approx (- (+ 1 (pow (/ k t) 2)) 1) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (/ (* k k) (* t t)) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (pow l 2))))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) #s(hole binary64 (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) #s(hole binary64 (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) t) #s(hole binary64 (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
#s(approx (* 2 (* (cos k) (* l l))) #s(hole binary64 (* 2 (* (pow l 2) (cos 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 l #s(hole binary64 l))
#s(approx (* 2 (* l l)) #s(hole binary64 (* 2 (pow l 2))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (/ (* 2 (* (cos k) (* l l))) (* (* (pow (sin k) 2) t) (* k k))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (* 2 (* (cos k) (* l l))) (* (* (pow (sin k) 2) t) (* k 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 (* (cos k) (* l l))) (* (* (pow (sin k) 2) t) (* k 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 (* (cos k) (* l l))) (* (* (pow (sin k) 2) t) (* k 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 (* 2 (* (cos k) (* l l))) #s(hole binary64 (* 2 (pow l 2))))
#s(approx (* 2 (* (cos k) (* l l))) #s(hole binary64 (+ (* -1 (* (pow k 2) (pow l 2))) (* 2 (pow l 2)))))
#s(approx (* 2 (* (cos k) (* l l))) #s(hole binary64 (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1 (pow l 2)) (* 1/12 (* (pow k 2) (pow l 2))))))))
#s(approx (* 2 (* (cos k) (* l l))) #s(hole binary64 (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1 (pow l 2)) (* (pow k 2) (+ (* -1/360 (* (pow k 2) (pow l 2))) (* 1/12 (pow l 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 k #s(hole binary64 k))
#s(approx (* (* (pow (sin k) 2) t) (* k k)) #s(hole binary64 (* (pow k 4) t)))
#s(approx (* (* (pow (sin k) 2) t) (* k k)) #s(hole binary64 (* (pow k 4) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (* (pow (sin k) 2) t) (* k k)) #s(hole binary64 (* (pow k 4) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (* (pow (sin k) 2) t) (* k k)) #s(hole binary64 (* (pow k 4) (+ 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) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow k 2)))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))))
#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
#s(approx (* k k) #s(hole binary64 (pow k 2)))
#s(approx (exp (* (log (* k k)) 2)) #s(hole binary64 (pow k 4)))
#s(approx (* (log (* k k)) 2) #s(hole binary64 (* 4 (log k))))
#s(approx (log (* k k)) #s(hole binary64 (* 2 (log k))))
#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 (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) #s(hole binary64 (* (pow k 4) (+ (* -1/3 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* -1/3 (/ t (pow l 2))) (* 2/45 (/ (* (pow k 2) t) (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (+ (* -1/315 (/ (* (pow k 2) t) (pow l 2))) (* 2/45 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) #s(hole binary64 (* (pow k 4) t)))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) #s(hole binary64 (* (pow k 4) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) #s(hole binary64 (* (pow k 4) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) #s(hole binary64 (* (pow k 4) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) #s(hole binary64 (* (pow k 3) t)))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) #s(hole binary64 (* (pow k 3) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) #s(hole binary64 (* (pow k 3) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) #s(hole binary64 (* (pow k 3) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))))
#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) t) #s(hole binary64 (* (pow k 2) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) 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 (- 1/2 (* (cos (+ k k)) 1/2)) #s(hole binary64 (pow k 2)))
#s(approx (- 1/2 (* (cos (+ k k)) 1/2)) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (- 1/2 (* (cos (+ k k)) 1/2)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ k k)) 1/2)) #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 k)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (+ k k)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow k 2)))))
#s(approx (* (cos (+ k k)) 1/2) #s(hole binary64 (+ 1/2 (* (pow k 2) (- (* 1/3 (pow k 2)) 1)))))
#s(approx (* (cos (+ k k)) 1/2) #s(hole binary64 (+ 1/2 (* (pow k 2) (- (* (pow k 2) (+ 1/3 (* -2/45 (pow k 2)))) 1)))))
#s(approx (cos (+ k k)) #s(hole binary64 1))
#s(approx (cos (+ k k)) #s(hole binary64 (+ 1 (* -2 (pow k 2)))))
#s(approx (cos (+ k k)) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 2/3 (pow k 2)) 2)))))
#s(approx (cos (+ k k)) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/3 (* -4/45 (pow k 2)))) 2)))))
#s(approx (+ k k) #s(hole binary64 (* 2 k)))
#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 (* (log (* k k)) 2) #s(hole binary64 (* -4 (log (/ 1 k)))))
#s(approx (log (* k k)) #s(hole binary64 (* -2 (log (/ 1 k)))))
#s(approx (tan k) #s(hole binary64 (/ (sin k) (cos k))))
#s(approx (- 1/2 (* (cos (+ k k)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 k))))))
#s(approx (* (cos (+ k k)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 k)))))
#s(approx (cos (+ k k)) #s(hole binary64 (cos (* 2 k))))
#s(approx (* (log (* k k)) 2) #s(hole binary64 (* -4 (log (/ -1 k)))))
#s(approx (log (* k k)) #s(hole binary64 (* -2 (log (/ -1 k)))))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (pow l 2))))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) #s(hole binary64 (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) #s(hole binary64 (* k (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) t) #s(hole binary64 (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))))
#s(approx (- 1/2 (* (cos (+ k k)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))
#s(approx (* (cos (+ k k)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 k))))))
#s(approx (cos (+ k k)) #s(hole binary64 (cos (neg (* -2 k)))))
Calls

9 calls:

TimeVariablePointExpression
67.0ms
k
@0
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38.0ms
k
@-inf
((/ 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) t) (* k k))) (* 2 (* (cos k) (* l l))) 2 (* (cos k) (* l l)) (cos k) k (* l l) l (* (* (pow (sin k) 2) t) (* k k)) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) t (* k k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* l l)) (* (* k k) (* (* k k) t))) (* 2 (* l l)) (* (* k k) (* (* k k) t)) (* (* k k) t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* l l)) (* (exp (* (log (* k k)) 2)) t)) (* (exp (* (log (* k k)) 2)) t) (exp (* (log (* k k)) 2)) (* (log (* k k)) 2) (log (* k k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (* k (* (* t t) t)) (* l l)) (* k (* (* t t) t)) (* (* t t) t) (* t t) (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (/ (* k k) (* t t)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (- 1/2 (* (cos (+ k k)) 1/2)) 1/2 (* (cos (+ k k)) 1/2) (cos (+ k k)) (+ k k))
21.0ms
t
@-inf
((/ 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) t) (* k k))) (* 2 (* (cos k) (* l l))) 2 (* (cos k) (* l l)) (cos k) k (* l l) l (* (* (pow (sin k) 2) t) (* k k)) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) t (* k k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* l l)) (* (* k k) (* (* k k) t))) (* 2 (* l l)) (* (* k k) (* (* k k) t)) (* (* k k) t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* l l)) (* (exp (* (log (* k k)) 2)) t)) (* (exp (* (log (* k k)) 2)) t) (exp (* (log (* k k)) 2)) (* (log (* k k)) 2) (log (* k k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (* k (* (* t t) t)) (* l l)) (* k (* (* t t) t)) (* (* t t) t) (* t t) (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (/ (* k k) (* t t)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (- 1/2 (* (cos (+ k k)) 1/2)) 1/2 (* (cos (+ k k)) 1/2) (cos (+ k k)) (+ k k))
16.0ms
l
@inf
((/ 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) t) (* k k))) (* 2 (* (cos k) (* l l))) 2 (* (cos k) (* l l)) (cos k) k (* l l) l (* (* (pow (sin k) 2) t) (* k k)) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) t (* k k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* l l)) (* (* k k) (* (* k k) t))) (* 2 (* l l)) (* (* k k) (* (* k k) t)) (* (* k k) t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* l l)) (* (exp (* (log (* k k)) 2)) t)) (* (exp (* (log (* k k)) 2)) t) (exp (* (log (* k k)) 2)) (* (log (* k k)) 2) (log (* k k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (* k (* (* t t) t)) (* l l)) (* k (* (* t t) t)) (* (* t t) t) (* t t) (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (/ (* k k) (* t t)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (- 1/2 (* (cos (+ k k)) 1/2)) 1/2 (* (cos (+ k k)) 1/2) (cos (+ k k)) (+ k k))
16.0ms
k
@inf
((/ 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) t) (* k k))) (* 2 (* (cos k) (* l l))) 2 (* (cos k) (* l l)) (cos k) k (* l l) l (* (* (pow (sin k) 2) t) (* k k)) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) t (* k k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* l l)) (* (* k k) (* (* k k) t))) (* 2 (* l l)) (* (* k k) (* (* k k) t)) (* (* k k) t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* l l)) (* (exp (* (log (* k k)) 2)) t)) (* (exp (* (log (* k k)) 2)) t) (exp (* (log (* k k)) 2)) (* (log (* k k)) 2) (log (* k k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (* k (* (* t t) t)) (* l l)) (* k (* (* t t) t)) (* (* t t) t) (* t t) (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (/ (* k k) (* t t)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (- 1/2 (* (cos (+ k k)) 1/2)) 1/2 (* (cos (+ k k)) 1/2) (cos (+ k k)) (+ k k))

rewrite188.0ms (2.7%)

Memory
27.1MiB live, 257.7MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06164532
06914057
134413999
080523875
Stop Event
iter-limit
node-limit
iter-limit
Counts
187 → 521
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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 k k))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 k k)))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 k) (*.f64 l l)))
#s(literal 2 binary64)
(*.f64 (cos.f64 k) (*.f64 l l))
(cos.f64 k)
k
(*.f64 l l)
l
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 k k))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
t
(*.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 l l)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t)))
(*.f64 #s(literal 2 binary64) (*.f64 l l))
(*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))
(*.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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 k k)) #s(literal 2 binary64))) t)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 k k)) #s(literal 2 binary64))) t))
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 k k)) #s(literal 2 binary64))) t)
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(*.f64 (log.f64 (*.f64 k k)) #s(literal 2 binary64))
(log.f64 (*.f64 k k))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
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(*.f64 (*.f64 t t) t)
(*.f64 t t)
(tan.f64 k)
#s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))
(/.f64 (*.f64 k k) (*.f64 t t))
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#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) (cos.f64 k)))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) (cos.f64 k))
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))
(cos.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))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (/ (* 2 (* (cos k) (* l l))) (* (* (pow (sin k) 2) t) (* k k))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (pow (sin k) 2) t) (* k k)) #s(hole binary64 (* (pow k 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 (* l l)) (* (* k k) (* (* k k) t))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* (* k k) (* (* k k) t)) #s(hole binary64 (* (pow k 4) t)))
#s(approx (* (* k k) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (* 2 (* l l)) (* (exp (* (log (* k k)) 2)) t)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* (exp (* (log (* k k)) 2)) t) #s(hole binary64 (* (pow k 4) 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 (/ (* k (* (* t t) t)) (* l l)) #s(hole binary64 (/ (* k (pow t 3)) (pow l 2))))
#s(approx (* k (* (* t t) t)) #s(hole binary64 (* k (pow t 3))))
#s(approx (* (* t t) t) #s(hole binary64 (pow t 3)))
#s(approx (* t t) #s(hole binary64 (pow t 2)))
#s(approx (- (+ 1 (pow (/ k t) 2)) 1) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (/ (* k k) (* t t)) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (pow l 2))))
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#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) t) #s(hole binary64 (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
#s(approx (* 2 (* (cos k) (* l l))) #s(hole binary64 (* 2 (* (pow l 2) (cos 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 l #s(hole binary64 l))
#s(approx (* 2 (* l l)) #s(hole binary64 (* 2 (pow l 2))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
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#s(approx (/ (* 2 (* (cos k) (* l l))) (* (* (pow (sin k) 2) t) (* k k))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (* 2 (* (cos k) (* l l))) (* (* (pow (sin k) 2) t) (* k 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 (* (cos k) (* l l))) (* (* (pow (sin k) 2) t) (* k 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 (* (cos k) (* l l))) (* (* (pow (sin k) 2) t) (* k 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 (* 2 (* (cos k) (* l l))) #s(hole binary64 (* 2 (pow l 2))))
#s(approx (* 2 (* (cos k) (* l l))) #s(hole binary64 (+ (* -1 (* (pow k 2) (pow l 2))) (* 2 (pow l 2)))))
#s(approx (* 2 (* (cos k) (* l l))) #s(hole binary64 (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1 (pow l 2)) (* 1/12 (* (pow k 2) (pow l 2))))))))
#s(approx (* 2 (* (cos k) (* l l))) #s(hole binary64 (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1 (pow l 2)) (* (pow k 2) (+ (* -1/360 (* (pow k 2) (pow l 2))) (* 1/12 (pow l 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 k #s(hole binary64 k))
#s(approx (* (* (pow (sin k) 2) t) (* k k)) #s(hole binary64 (* (pow k 4) t)))
#s(approx (* (* (pow (sin k) 2) t) (* k k)) #s(hole binary64 (* (pow k 4) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (* (pow (sin k) 2) t) (* k k)) #s(hole binary64 (* (pow k 4) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (* (pow (sin k) 2) t) (* k k)) #s(hole binary64 (* (pow k 4) (+ 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) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow k 2)))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))))
#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
#s(approx (* k k) #s(hole binary64 (pow k 2)))
#s(approx (exp (* (log (* k k)) 2)) #s(hole binary64 (pow k 4)))
#s(approx (* (log (* k k)) 2) #s(hole binary64 (* 4 (log k))))
#s(approx (log (* k k)) #s(hole binary64 (* 2 (log k))))
#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 (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) #s(hole binary64 (* (pow k 4) (+ (* -1/3 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* -1/3 (/ t (pow l 2))) (* 2/45 (/ (* (pow k 2) t) (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (+ (* -1/315 (/ (* (pow k 2) t) (pow l 2))) (* 2/45 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) #s(hole binary64 (* (pow k 4) t)))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) #s(hole binary64 (* (pow k 4) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) #s(hole binary64 (* (pow k 4) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) #s(hole binary64 (* (pow k 4) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) #s(hole binary64 (* (pow k 3) t)))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) #s(hole binary64 (* (pow k 3) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) #s(hole binary64 (* (pow k 3) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) #s(hole binary64 (* (pow k 3) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))))
#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) t) #s(hole binary64 (* (pow k 2) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) 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 (- 1/2 (* (cos (+ k k)) 1/2)) #s(hole binary64 (pow k 2)))
#s(approx (- 1/2 (* (cos (+ k k)) 1/2)) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (- 1/2 (* (cos (+ k k)) 1/2)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ k k)) 1/2)) #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 k)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (+ k k)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow k 2)))))
#s(approx (* (cos (+ k k)) 1/2) #s(hole binary64 (+ 1/2 (* (pow k 2) (- (* 1/3 (pow k 2)) 1)))))
#s(approx (* (cos (+ k k)) 1/2) #s(hole binary64 (+ 1/2 (* (pow k 2) (- (* (pow k 2) (+ 1/3 (* -2/45 (pow k 2)))) 1)))))
#s(approx (cos (+ k k)) #s(hole binary64 1))
#s(approx (cos (+ k k)) #s(hole binary64 (+ 1 (* -2 (pow k 2)))))
#s(approx (cos (+ k k)) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 2/3 (pow k 2)) 2)))))
#s(approx (cos (+ k k)) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/3 (* -4/45 (pow k 2)))) 2)))))
#s(approx (+ k k) #s(hole binary64 (* 2 k)))
#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 (* (log (* k k)) 2) #s(hole binary64 (* -4 (log (/ 1 k)))))
#s(approx (log (* k k)) #s(hole binary64 (* -2 (log (/ 1 k)))))
#s(approx (tan k) #s(hole binary64 (/ (sin k) (cos k))))
#s(approx (- 1/2 (* (cos (+ k k)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 k))))))
#s(approx (* (cos (+ k k)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 k)))))
#s(approx (cos (+ k k)) #s(hole binary64 (cos (* 2 k))))
#s(approx (* (log (* k k)) 2) #s(hole binary64 (* -4 (log (/ -1 k)))))
#s(approx (log (* k k)) #s(hole binary64 (* -2 (log (/ -1 k)))))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (pow l 2))))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) #s(hole binary64 (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) #s(hole binary64 (* k (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) t) #s(hole binary64 (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))))
#s(approx (- 1/2 (* (cos (+ k k)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))
#s(approx (* (cos (+ k k)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 k))))))
#s(approx (cos (+ k k)) #s(hole binary64 (cos (neg (* -2 k)))))
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) l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 k k)))
(*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 k k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 k k))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))) (neg.f64 (*.f64 k k)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k))))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 k k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 k k))) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k))))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 k k)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 k k)))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 k k)) (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k))))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 k k)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 k k)))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)))
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#s(approx (* (cos k) (* l l)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 k k)) (*.f64 l l) (*.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) #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) (* k k)) (*.f64 (*.f64 (*.f64 k k) t) (*.f64 k k)))
#s(approx (* (* (pow (sin k) 2) t) (* k k)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (* (* (pow (sin k) 2) t) (* k k)) (*.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 (*.f64 k k) (*.f64 k k))))
#s(approx (* (* (pow (sin k) 2) t) (* k k)) (*.f64 (fma.f64 (fma.f64 (*.f64 k k) (fma.f64 #s(literal -1/315 binary64) (*.f64 (*.f64 k k) t) (*.f64 #s(literal 2/45 binary64) t)) (*.f64 #s(literal -1/3 binary64) t)) (*.f64 k k) t) (*.f64 (*.f64 k k) (*.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 #s(literal -1/3 binary64) (*.f64 (*.f64 k k) t) 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 (*.f64 k k) (fma.f64 #s(literal -1/315 binary64) (*.f64 (*.f64 k k) t) (*.f64 #s(literal 2/45 binary64) t)) (*.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 #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 #s(literal 2/45 binary64) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (pow (sin k) 2) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 k k) #s(literal 2/45 binary64)) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (sin k) k)
#s(approx (sin k) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (sin k) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (sin k) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 k k) #s(literal 1/120 binary64)) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (* k k) (*.f64 k k))
#s(approx (exp (* (log (* k k)) 2)) (*.f64 (*.f64 k k) (*.f64 k k)))
#s(approx (* (log (* k k)) 2) (*.f64 (log.f64 k) #s(literal 4 binary64)))
#s(approx (log (* k k)) (*.f64 (log.f64 k) #s(literal 2 binary64)))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (/.f64 (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))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.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 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))) (*.f64 k k) (/.f64 t (*.f64 l l))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (/.f64 (*.f64 (*.f64 k k) (*.f64 (*.f64 t t) t)) (*.f64 l l)))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) (*.f64 (*.f64 t t) t)) (*.f64 (*.f64 t t) t)) (*.f64 l l)) (*.f64 k k)))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 t t) t) (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) (*.f64 (*.f64 t t) t)))) (*.f64 l l)) (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 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 31/360 binary64) (*.f64 (*.f64 t t) t) (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) (*.f64 (*.f64 t t) t)))) (*.f64 l l)) (*.f64 k k) (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) #s(literal 1/6 binary64))) (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l))) (*.f64 k k)))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 (*.f64 k (*.f64 t t)) t) (*.f64 l l)))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 k k) (*.f64 (*.f64 t t) t)) (*.f64 (*.f64 t t) t)) (*.f64 l l)) k))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 t t) t) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 k k) (*.f64 (*.f64 t t) t)))) (*.f64 l l)) (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l))) k))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 t t) t) (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 k k) (*.f64 (*.f64 t t) t)))) (*.f64 l l)) (*.f64 k k) (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) #s(literal -1/6 binary64))) (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l))) k))
#s(approx (tan k) k)
#s(approx (tan k) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (tan k) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 k k) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (tan k) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 k k) #s(literal 2/15 binary64)) (*.f64 k k) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l))))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) (*.f64 (fma.f64 (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64)) (*.f64 k k) (/.f64 t (*.f64 l l))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (/.f64 t (*.f64 l l)) #s(literal 2/45 binary64)) (fma.f64 (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/24 binary64)))) (*.f64 k k) (*.f64 (/.f64 t (*.f64 l l)) #s(literal -1/3 binary64))) (*.f64 (/.f64 t (*.f64 l l)) #s(literal -1/2 binary64))) (*.f64 k k) (/.f64 t (*.f64 l l))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 t (*.f64 l l)) #s(literal 2/45 binary64) (*.f64 (-.f64 (*.f64 (/.f64 t (*.f64 l l)) #s(literal -1/315 binary64)) (fma.f64 (-.f64 (*.f64 (/.f64 t (*.f64 l l)) #s(literal 2/45 binary64)) (fma.f64 (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/24 binary64)))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64)) #s(literal 1/24 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal -1/720 binary64))))) (*.f64 k k))) (fma.f64 (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/24 binary64)))) (*.f64 k k) (*.f64 (/.f64 t (*.f64 l l)) #s(literal -1/3 binary64))) (*.f64 (/.f64 t (*.f64 l l)) #s(literal -1/2 binary64))) (*.f64 k k) (/.f64 t (*.f64 l l))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 k k) t) (*.f64 #s(literal -1/3 binary64) t)) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 (*.f64 k k) t) (*.f64 #s(literal 2/45 binary64) t)) (*.f64 l l)) (*.f64 k k) (*.f64 (/.f64 t (*.f64 l l)) #s(literal -1/3 binary64))) (*.f64 k k) (/.f64 t (*.f64 l l))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (* (* (pow (sin k) 2) t) (* k k)) (*.f64 (*.f64 (*.f64 k k) t) (*.f64 k k)))
#s(approx (* (* (pow (sin k) 2) t) (* k k)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (* (* (pow (sin k) 2) t) (* k k)) (*.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 (*.f64 k k) (*.f64 k k))))
#s(approx (* (* (pow (sin k) 2) t) (* k k)) (*.f64 (fma.f64 (fma.f64 (*.f64 k k) (fma.f64 #s(literal -1/315 binary64) (*.f64 (*.f64 k k) t) (*.f64 #s(literal 2/45 binary64) t)) (*.f64 #s(literal -1/3 binary64) t)) (*.f64 k k) t) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) (*.f64 (*.f64 (*.f64 k k) k) t))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) (*.f64 (*.f64 (*.f64 k k) k) (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k k) t) t)))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) (*.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 (*.f64 k k) k)))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) (*.f64 (fma.f64 (fma.f64 (*.f64 k k) (fma.f64 #s(literal -1/315 binary64) (*.f64 (*.f64 k k) t) (*.f64 #s(literal 2/45 binary64) t)) (*.f64 #s(literal -1/3 binary64) t)) (*.f64 k k) t) (*.f64 (*.f64 k k) k)))
#s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 k k) t))
#s(approx (* (pow (sin k) 2) t) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k k) t) 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 (*.f64 k k) (fma.f64 #s(literal -1/315 binary64) (*.f64 (*.f64 k k) t) (*.f64 #s(literal 2/45 binary64) t)) (*.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 #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 #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 (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))
#s(approx (* (cos (+ k k)) 1/2) (+.f64 (neg.f64 (*.f64 k k)) #s(literal 1/2 binary64)))
#s(approx (* (cos (+ k k)) 1/2) (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 (* (cos (+ k k)) 1/2) (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 (+ k k)) #s(literal 1 binary64))
#s(approx (cos (+ k k)) (fma.f64 #s(literal -2 binary64) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (cos (+ k 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 (+ k 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 (+ k k) (+.f64 k k))
#s(approx (cos k) (cos.f64 k))
#s(approx (pow (sin k) 2) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))))
#s(approx (sin k) (sin.f64 k))
#s(approx (* (log (* k k)) 2) (*.f64 (log.f64 k) #s(literal 4 binary64)))
#s(approx (log (* k k)) (*.f64 (log.f64 k) #s(literal 2 binary64)))
#s(approx (tan k) (tan.f64 k))
#s(approx (pow (sin k) 2) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ k k)) 1/2) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))
#s(approx (cos (+ k k)) (cos.f64 (+.f64 k k)))
#s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64)))
#s(approx (log (* k k)) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -2 binary64)))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 (*.f64 (cos.f64 k) l) l)))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) (/.f64 k (*.f64 l l))))
#s(approx (* (* (pow (sin k) 2) t) (* k k)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k))
#s(approx (* (pow (sin k) 2) t) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))
#s(approx (pow (sin k) 2) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ k k)) 1/2) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))
#s(approx (cos (+ k k)) (cos.f64 (+.f64 k k)))

eval58.0ms (0.8%)

Memory
8.0MiB live, 151.7MiB allocated; 16ms collecting garbage
Compiler

Compiled 6 592 to 2 965 computations (55% saved)

prune52.0ms (0.8%)

Memory
-9.7MiB live, 131.7MiB allocated; 5ms collecting garbage
Pruning

46 alts after pruning (44 fresh and 2 done)

PrunedKeptTotal
New52520545
Fresh82432
Picked415
Done011
Total53746583
Accuracy
91.4%
Counts
583 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.5%
(/.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 #s(approx (+ 1 (pow (/ k t) 2)) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
46.0%
(/.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))))
42.8%
(/.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))))
31.9%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (*.f64 (sin.f64 k) (tan.f64 k))) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (*.f64 k (/.f64 k (*.f64 t t))))))
46.0%
(/.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))))
28.9%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (/.f64 (*.f64 (*.f64 k (*.f64 t t)) t) l) l)) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
23.3%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) #s(approx (tan k) k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
26.0%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k))) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
35.9%
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (*.f64 k k))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
20.9%
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
38.3%
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
76.8%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) l) l) (cos.f64 k))))
70.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) (*.f64 t k)) k) (*.f64 l l)) (cos.f64 k))))
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 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) #s(literal 1 binary64)))))
70.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (cos.f64 k)) (*.f64 l l))))
35.6%
(/.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 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) (cos.f64 k))))
82.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) l) (/.f64 k l)) (cos.f64 k))))
71.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) (/.f64 k (*.f64 l l))) (cos.f64 k))))
58.1%
(/.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))) (*.f64 (*.f64 (*.f64 k k) k) k))))
67.8%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (cos.f64 k)) (/.f64 (*.f64 k k) (*.f64 l l)))))
58.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
57.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (*.f64 l l)))))
58.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
46.5%
#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) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
67.8%
#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) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (*.f64 k k)))
60.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 k k) k) k)) t))
63.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 k k) t)))
67.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.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 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)))
67.8%
#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 (cos.f64 k) (*.f64 l l))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) (*.f64 (*.f64 k k) t))))
73.2%
#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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (pow.f64 (/.f64 #s(literal 1 binary64) k) #s(literal -2 binary64)))))
73.3%
#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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 k k))))
34.7%
#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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 binary64))) t) (*.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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)))
60.7%
#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 l l)) (*.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 k)) t)))
61.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
62.3%
#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 l l)) (*.f64 (*.f64 k k) (*.f64 k (*.f64 k t)))))
60.7%
#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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) t)))
61.9%
#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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))) (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))) t))))
0.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64)))) t)))
62.3%
#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 l l)) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
63.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* (cos k) (* l l)) (*.f64 l l))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 k k))))
58.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* (cos k) (* l l)) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 k k))))
67.8%
#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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) 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 k)) (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t))))
24.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* 2 (* (cos k) (* l l))) (* (* (pow (sin k) 2) t) (* k k))) (/.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))) (*.f64 (*.f64 k k) (*.f64 k k)))))
Compiler

Compiled 2 809 to 2 732 computations (2.7% saved)

series174.0ms (2.5%)

Memory
33.8MiB live, 412.0MiB allocated; 47ms collecting garbage
Counts
51 → 136
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) l) (/.f64 k l)) (cos.f64 k))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) l) (/.f64 k l)) (cos.f64 k)))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) l) (/.f64 k l)) (cos.f64 k))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) l) (/.f64 k l))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) l)
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 k k))
(+.f64 k k)
k
t
l
(/.f64 k l)
(cos.f64 k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t))))
(*.f64 #s(literal 2 binary64) (*.f64 l l))
(*.f64 l l)
(*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))
(*.f64 k (*.f64 (*.f64 k k) t))
(*.f64 (*.f64 k k) t)
(*.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 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64)))) t)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64)))) t))
(*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64)))) t)
(exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64))))
#s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64)))
(*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64))
(neg.f64 (log.f64 (neg.f64 k)))
(log.f64 (neg.f64 k))
(neg.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 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) (cos.f64 k))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) (cos.f64 k)))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) (cos.f64 k))
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k)
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k)
(*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t)
(-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64)))
#s(approx (* (cos (+ k k)) 1/2) #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 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (*.f64 k k)))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (*.f64 k k))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))
(*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64))
(*.f64 (*.f64 (cos.f64 k) l) l)
(*.f64 (cos.f64 k) l)
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (cos k)) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))))
#s(approx (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (pow l 2))))
#s(approx (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) #s(hole binary64 (/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) l)))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) #s(hole binary64 (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) t) #s(hole binary64 (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
#s(approx t #s(hole binary64 t))
#s(approx (/ (* 2 (* l l)) (* k (* k (* (* k k) t)))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* k (* k (* (* k k) t))) #s(hole binary64 (* (pow k 4) t)))
#s(approx (* k (* (* k k) t)) #s(hole binary64 (* (pow k 3) t)))
#s(approx (* (* k k) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (* 2 (* l l)) (* (exp (* (log (* k k)) 2)) t)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* (exp (* (log (* k k)) 2)) t) #s(hole binary64 (* (pow k 4) t)))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (pow l 2))))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) #s(hole binary64 (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
#s(approx (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))))
#s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))))
#s(approx l #s(hole binary64 l))
#s(approx (/ k l) #s(hole binary64 (/ k l)))
#s(approx (* 2 (* l l)) #s(hole binary64 (* 2 (pow l 2))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx (* (* (* (cos k) l) l) 2) #s(hole binary64 (* 2 (* (pow l 2) (cos k)))))
#s(approx (* (* (cos k) l) l) #s(hole binary64 (* (pow l 2) (cos k))))
#s(approx (* (cos k) l) #s(hole binary64 (* l (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 (* (* (* (/ (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 (/ (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (cos k)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (/ (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (cos k)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (cos k)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (cos k)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) #s(hole binary64 (* (pow k 4) (+ (* -1/3 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* -1/3 (/ t (pow l 2))) (* 2/45 (/ (* (pow k 2) t) (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (+ (* -1/315 (/ (* (pow k 2) t) (pow l 2))) (* 2/45 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) #s(hole binary64 (/ (* (pow k 3) t) l)))
#s(approx (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) #s(hole binary64 (* (pow k 3) (+ (* -1/3 (/ (* (pow k 2) t) l)) (/ t l)))))
#s(approx (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) #s(hole binary64 (* (pow k 3) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* 2/45 (/ (* (pow k 2) t) l)))) (/ t l)))))
#s(approx (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) #s(hole binary64 (* (pow k 3) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* (pow k 2) (+ (* -1/315 (/ (* (pow k 2) t) l)) (* 2/45 (/ t l)))))) (/ t l)))))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) #s(hole binary64 (* (pow k 3) t)))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) #s(hole binary64 (* (pow k 3) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) #s(hole binary64 (* (pow k 3) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) #s(hole binary64 (* (pow k 3) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))))
#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) t) #s(hole binary64 (* (pow k 2) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) 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 (- 1/2 (* (cos (+ k k)) 1/2)) #s(hole binary64 (pow k 2)))
#s(approx (- 1/2 (* (cos (+ k k)) 1/2)) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (- 1/2 (* (cos (+ k k)) 1/2)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ k k)) 1/2)) #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 k)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (+ k k)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow k 2)))))
#s(approx (* (cos (+ k k)) 1/2) #s(hole binary64 (+ 1/2 (* (pow k 2) (- (* 1/3 (pow k 2)) 1)))))
#s(approx (* (cos (+ k k)) 1/2) #s(hole binary64 (+ 1/2 (* (pow k 2) (- (* (pow k 2) (+ 1/3 (* -2/45 (pow k 2)))) 1)))))
#s(approx (cos (+ k k)) #s(hole binary64 1))
#s(approx (cos (+ k k)) #s(hole binary64 (+ 1 (* -2 (pow k 2)))))
#s(approx (cos (+ k k)) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 2/3 (pow k 2)) 2)))))
#s(approx (cos (+ k k)) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/3 (* -4/45 (pow k 2)))) 2)))))
#s(approx (+ k k) #s(hole binary64 (* 2 k)))
#s(approx k #s(hole binary64 k))
#s(approx (cos k) #s(hole binary64 1))
#s(approx (cos k) #s(hole binary64 (+ 1 (* -1/2 (pow k 2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))))
#s(approx (* k k) #s(hole binary64 (pow k 2)))
#s(approx (exp (* (log (* k k)) 2)) #s(hole binary64 (pow k 4)))
#s(approx (* (log (* k k)) 2) #s(hole binary64 (* 4 (log k))))
#s(approx (* (neg (log (neg k))) -4) #s(hole binary64 (* 4 (+ (log -1) (log k)))))
#s(approx (neg (log (neg k))) #s(hole binary64 (* -1 (+ (log -1) (log k)))))
#s(approx (log (neg k)) #s(hole binary64 (+ (log -1) (log k))))
#s(approx (neg k) #s(hole binary64 (* -1 k)))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) #s(hole binary64 (* (pow k 4) (+ (* -1/3 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* -1/3 (/ t (pow l 2))) (* 2/45 (/ (* (pow k 2) t) (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (+ (* -1/315 (/ (* (pow k 2) t) (pow l 2))) (* 2/45 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) #s(hole binary64 (* (pow k 4) t)))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) #s(hole binary64 (* (pow k 4) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) #s(hole binary64 (* (pow k 4) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) #s(hole binary64 (* (pow k 4) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))))
#s(approx (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k 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 (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k 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 (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k 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) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 2) t)))))
#s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) 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 2))))
#s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) 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 2))))
#s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) 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 2))))
#s(approx (* (* (* (cos k) l) l) 2) #s(hole binary64 (* 2 (pow l 2))))
#s(approx (* (* (* (cos k) l) l) 2) #s(hole binary64 (+ (* -1 (* (pow k 2) (pow l 2))) (* 2 (pow l 2)))))
#s(approx (* (* (* (cos k) l) l) 2) #s(hole binary64 (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1 (pow l 2)) (* 1/12 (* (pow k 2) (pow l 2))))))))
#s(approx (* (* (* (cos k) l) l) 2) #s(hole binary64 (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1 (pow l 2)) (* (pow k 2) (+ (* -1/360 (* (pow k 2) (pow l 2))) (* 1/12 (pow l 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) 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 (- 1/2 (* (cos (+ k k)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 k))))))
#s(approx (* (cos (+ k k)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 k)))))
#s(approx (cos (+ k k)) #s(hole binary64 (cos (* 2 k))))
#s(approx (cos k) #s(hole binary64 (cos k)))
#s(approx (* (log (* k k)) 2) #s(hole binary64 (* -4 (log (/ 1 k)))))
#s(approx (* (neg (log (neg k))) -4) #s(hole binary64 (* 4 (+ (log -1) (* -1 (log (/ 1 k)))))))
#s(approx (neg (log (neg k))) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ 1 k)))))))
#s(approx (log (neg k)) #s(hole binary64 (+ (log -1) (* -1 (log (/ 1 k))))))
#s(approx (/ (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (cos k)) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (* (pow l 2) (cos k)))))
#s(approx (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (pow l 2))))
#s(approx (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) #s(hole binary64 (/ (* k (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) l)))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) #s(hole binary64 (* k (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) t) #s(hole binary64 (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))))
#s(approx (- 1/2 (* (cos (+ k k)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))
#s(approx (* (cos (+ k k)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 k))))))
#s(approx (cos (+ k k)) #s(hole binary64 (cos (neg (* -2 k)))))
#s(approx (* (log (* k k)) 2) #s(hole binary64 (* -4 (log (/ -1 k)))))
#s(approx (* (neg (log (neg k))) -4) #s(hole binary64 (* -4 (log (/ -1 k)))))
#s(approx (neg (log (neg k))) #s(hole binary64 (log (/ -1 k))))
#s(approx (log (neg k)) #s(hole binary64 (* -1 (log (/ -1 k)))))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (pow l 2))))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) #s(hole binary64 (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
#s(approx (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))))
#s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))))))
Calls

9 calls:

TimeVariablePointExpression
57.0ms
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)) (/ (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (cos k)) (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (- 1/2 (* (cos (+ k k)) 1/2)) 1/2 (* (cos (+ k k)) 1/2) (cos (+ k k)) (+ k k) k t l (/ k l) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* l l)) (* k (* k (* (* k k) t)))) (* 2 (* l l)) (* l l) (* k (* k (* (* k k) t))) (* k (* (* k k) t)) (* (* k k) t) (* k k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* l l)) (* (exp (* (log (* k k)) 2)) t)) (* (exp (* (log (* k k)) 2)) t) (exp (* (log (* k k)) 2)) (* (log (* k k)) 2) (* (neg (log (neg k))) -4) (neg (log (neg k))) (log (neg k)) (neg k) -4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (- 1/2 (* (cos (+ k k)) 1/2)) (* (cos (+ k k)) 1/2) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* (* (* (cos k) l) l) 2) (* (* (cos k) l) l) (* (cos k) l))
28.0ms
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)) (/ (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (cos k)) (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (- 1/2 (* (cos (+ k k)) 1/2)) 1/2 (* (cos (+ k k)) 1/2) (cos (+ k k)) (+ k k) k t l (/ k l) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* l l)) (* k (* k (* (* k k) t)))) (* 2 (* l l)) (* l l) (* k (* k (* (* k k) t))) (* k (* (* k k) t)) (* (* k k) t) (* k k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* l l)) (* (exp (* (log (* k k)) 2)) t)) (* (exp (* (log (* k k)) 2)) t) (exp (* (log (* k k)) 2)) (* (log (* k k)) 2) (* (neg (log (neg k))) -4) (neg (log (neg k))) (log (neg k)) (neg k) -4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (- 1/2 (* (cos (+ k k)) 1/2)) (* (cos (+ k k)) 1/2) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* (* (* (cos k) l) l) 2) (* (* (cos k) l) l) (* (cos k) l))
28.0ms
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)) (/ (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (cos k)) (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (- 1/2 (* (cos (+ k k)) 1/2)) 1/2 (* (cos (+ k k)) 1/2) (cos (+ k k)) (+ k k) k t l (/ k l) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* l l)) (* k (* k (* (* k k) t)))) (* 2 (* l l)) (* l l) (* k (* k (* (* k k) t))) (* k (* (* k k) t)) (* (* k k) t) (* k k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* l l)) (* (exp (* (log (* k k)) 2)) t)) (* (exp (* (log (* k k)) 2)) t) (exp (* (log (* k k)) 2)) (* (log (* k k)) 2) (* (neg (log (neg k))) -4) (neg (log (neg k))) (log (neg k)) (neg k) -4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (- 1/2 (* (cos (+ k k)) 1/2)) (* (cos (+ k k)) 1/2) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* (* (* (cos k) l) l) 2) (* (* (cos k) l) l) (* (cos k) l))
10.0ms
l
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (cos k)) (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (- 1/2 (* (cos (+ k k)) 1/2)) 1/2 (* (cos (+ k k)) 1/2) (cos (+ k k)) (+ k k) k t l (/ k l) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* l l)) (* k (* k (* (* k k) t)))) (* 2 (* l l)) (* l l) (* k (* k (* (* k k) t))) (* k (* (* k k) t)) (* (* k k) t) (* k k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* l l)) (* (exp (* (log (* k k)) 2)) t)) (* (exp (* (log (* k k)) 2)) t) (exp (* (log (* k k)) 2)) (* (log (* k k)) 2) (* (neg (log (neg k))) -4) (neg (log (neg k))) (log (neg k)) (neg k) -4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (- 1/2 (* (cos (+ k k)) 1/2)) (* (cos (+ k k)) 1/2) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* (* (* (cos k) l) l) 2) (* (* (cos k) l) l) (* (cos k) l))
10.0ms
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)) (/ (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (cos k)) (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (- 1/2 (* (cos (+ k k)) 1/2)) 1/2 (* (cos (+ k k)) 1/2) (cos (+ k k)) (+ k k) k t l (/ k l) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* l l)) (* k (* k (* (* k k) t)))) (* 2 (* l l)) (* l l) (* k (* k (* (* k k) t))) (* k (* (* k k) t)) (* (* k k) t) (* k k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* l l)) (* (exp (* (log (* k k)) 2)) t)) (* (exp (* (log (* k k)) 2)) t) (exp (* (log (* k k)) 2)) (* (log (* k k)) 2) (* (neg (log (neg k))) -4) (neg (log (neg k))) (log (neg k)) (neg k) -4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (- 1/2 (* (cos (+ k k)) 1/2)) (* (cos (+ k k)) 1/2) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* (* (* (cos k) l) l) 2) (* (* (cos k) l) l) (* (cos k) l))

rewrite210.0ms (3.1%)

Memory
-35.4MiB live, 292.6MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05975250
06644535
132644469
080744343
Stop Event
iter-limit
node-limit
iter-limit
Counts
187 → 450
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) l) (/.f64 k l)) (cos.f64 k))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) l) (/.f64 k l)) (cos.f64 k)))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) l) (/.f64 k l)) (cos.f64 k))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) l) (/.f64 k l))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) l)
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 k k))
(+.f64 k k)
k
t
l
(/.f64 k l)
(cos.f64 k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t))))
(*.f64 #s(literal 2 binary64) (*.f64 l l))
(*.f64 l l)
(*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))
(*.f64 k (*.f64 (*.f64 k k) t))
(*.f64 (*.f64 k k) t)
(*.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 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64)))) t)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64)))) t))
(*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64)))) t)
(exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64))))
#s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64)))
(*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64))
(neg.f64 (log.f64 (neg.f64 k)))
(log.f64 (neg.f64 k))
(neg.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 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) (cos.f64 k))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) (cos.f64 k)))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) (cos.f64 k))
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k)
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k)
(*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t)
(-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64)))
#s(approx (* (cos (+ k k)) 1/2) #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 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (*.f64 k k)))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (*.f64 k k))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))
(*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64))
(*.f64 (*.f64 (cos.f64 k) l) l)
(*.f64 (cos.f64 k) l)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (cos k)) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))))
#s(approx (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (pow l 2))))
#s(approx (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) #s(hole binary64 (/ (* k (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) l)))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) #s(hole binary64 (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) t) #s(hole binary64 (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
#s(approx t #s(hole binary64 t))
#s(approx (/ (* 2 (* l l)) (* k (* k (* (* k k) t)))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* k (* k (* (* k k) t))) #s(hole binary64 (* (pow k 4) t)))
#s(approx (* k (* (* k k) t)) #s(hole binary64 (* (pow k 3) t)))
#s(approx (* (* k k) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (* 2 (* l l)) (* (exp (* (log (* k k)) 2)) t)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* (exp (* (log (* k k)) 2)) t) #s(hole binary64 (* (pow k 4) t)))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (pow l 2))))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) #s(hole binary64 (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
#s(approx (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))))
#s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))))
#s(approx l #s(hole binary64 l))
#s(approx (/ k l) #s(hole binary64 (/ k l)))
#s(approx (* 2 (* l l)) #s(hole binary64 (* 2 (pow l 2))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx (* (* (* (cos k) l) l) 2) #s(hole binary64 (* 2 (* (pow l 2) (cos k)))))
#s(approx (* (* (cos k) l) l) #s(hole binary64 (* (pow l 2) (cos k))))
#s(approx (* (cos k) l) #s(hole binary64 (* l (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 (* (* (* (/ (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 (/ (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (cos k)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (/ (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (cos k)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (cos k)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (cos k)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) #s(hole binary64 (* (pow k 4) (+ (* -1/3 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* -1/3 (/ t (pow l 2))) (* 2/45 (/ (* (pow k 2) t) (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (+ (* -1/315 (/ (* (pow k 2) t) (pow l 2))) (* 2/45 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) #s(hole binary64 (/ (* (pow k 3) t) l)))
#s(approx (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) #s(hole binary64 (* (pow k 3) (+ (* -1/3 (/ (* (pow k 2) t) l)) (/ t l)))))
#s(approx (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) #s(hole binary64 (* (pow k 3) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* 2/45 (/ (* (pow k 2) t) l)))) (/ t l)))))
#s(approx (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) #s(hole binary64 (* (pow k 3) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* (pow k 2) (+ (* -1/315 (/ (* (pow k 2) t) l)) (* 2/45 (/ t l)))))) (/ t l)))))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) #s(hole binary64 (* (pow k 3) t)))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) #s(hole binary64 (* (pow k 3) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) #s(hole binary64 (* (pow k 3) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) #s(hole binary64 (* (pow k 3) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))))
#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) t) #s(hole binary64 (* (pow k 2) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) 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 (- 1/2 (* (cos (+ k k)) 1/2)) #s(hole binary64 (pow k 2)))
#s(approx (- 1/2 (* (cos (+ k k)) 1/2)) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (- 1/2 (* (cos (+ k k)) 1/2)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ k k)) 1/2)) #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 k)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (+ k k)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow k 2)))))
#s(approx (* (cos (+ k k)) 1/2) #s(hole binary64 (+ 1/2 (* (pow k 2) (- (* 1/3 (pow k 2)) 1)))))
#s(approx (* (cos (+ k k)) 1/2) #s(hole binary64 (+ 1/2 (* (pow k 2) (- (* (pow k 2) (+ 1/3 (* -2/45 (pow k 2)))) 1)))))
#s(approx (cos (+ k k)) #s(hole binary64 1))
#s(approx (cos (+ k k)) #s(hole binary64 (+ 1 (* -2 (pow k 2)))))
#s(approx (cos (+ k k)) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 2/3 (pow k 2)) 2)))))
#s(approx (cos (+ k k)) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/3 (* -4/45 (pow k 2)))) 2)))))
#s(approx (+ k k) #s(hole binary64 (* 2 k)))
#s(approx k #s(hole binary64 k))
#s(approx (cos k) #s(hole binary64 1))
#s(approx (cos k) #s(hole binary64 (+ 1 (* -1/2 (pow k 2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))))
#s(approx (* k k) #s(hole binary64 (pow k 2)))
#s(approx (exp (* (log (* k k)) 2)) #s(hole binary64 (pow k 4)))
#s(approx (* (log (* k k)) 2) #s(hole binary64 (* 4 (log k))))
#s(approx (* (neg (log (neg k))) -4) #s(hole binary64 (* 4 (+ (log -1) (log k)))))
#s(approx (neg (log (neg k))) #s(hole binary64 (* -1 (+ (log -1) (log k)))))
#s(approx (log (neg k)) #s(hole binary64 (+ (log -1) (log k))))
#s(approx (neg k) #s(hole binary64 (* -1 k)))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) #s(hole binary64 (* (pow k 4) (+ (* -1/3 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* -1/3 (/ t (pow l 2))) (* 2/45 (/ (* (pow k 2) t) (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (+ (* -1/315 (/ (* (pow k 2) t) (pow l 2))) (* 2/45 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) #s(hole binary64 (* (pow k 4) t)))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) #s(hole binary64 (* (pow k 4) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) #s(hole binary64 (* (pow k 4) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) #s(hole binary64 (* (pow k 4) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))))
#s(approx (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k 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 (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k 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 (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k 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) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 2) t)))))
#s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) 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 2))))
#s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) 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 2))))
#s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) 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 2))))
#s(approx (* (* (* (cos k) l) l) 2) #s(hole binary64 (* 2 (pow l 2))))
#s(approx (* (* (* (cos k) l) l) 2) #s(hole binary64 (+ (* -1 (* (pow k 2) (pow l 2))) (* 2 (pow l 2)))))
#s(approx (* (* (* (cos k) l) l) 2) #s(hole binary64 (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1 (pow l 2)) (* 1/12 (* (pow k 2) (pow l 2))))))))
#s(approx (* (* (* (cos k) l) l) 2) #s(hole binary64 (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1 (pow l 2)) (* (pow k 2) (+ (* -1/360 (* (pow k 2) (pow l 2))) (* 1/12 (pow l 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) 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 (- 1/2 (* (cos (+ k k)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 k))))))
#s(approx (* (cos (+ k k)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 k)))))
#s(approx (cos (+ k k)) #s(hole binary64 (cos (* 2 k))))
#s(approx (cos k) #s(hole binary64 (cos k)))
#s(approx (* (log (* k k)) 2) #s(hole binary64 (* -4 (log (/ 1 k)))))
#s(approx (* (neg (log (neg k))) -4) #s(hole binary64 (* 4 (+ (log -1) (* -1 (log (/ 1 k)))))))
#s(approx (neg (log (neg k))) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ 1 k)))))))
#s(approx (log (neg k)) #s(hole binary64 (+ (log -1) (* -1 (log (/ 1 k))))))
#s(approx (/ (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (cos k)) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (* (pow l 2) (cos k)))))
#s(approx (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (pow l 2))))
#s(approx (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) #s(hole binary64 (/ (* k (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) l)))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) #s(hole binary64 (* k (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) t) #s(hole binary64 (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))))
#s(approx (- 1/2 (* (cos (+ k k)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))
#s(approx (* (cos (+ k k)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 k))))))
#s(approx (cos (+ k k)) #s(hole binary64 (cos (neg (* -2 k)))))
#s(approx (* (log (* k k)) 2) #s(hole binary64 (* -4 (log (/ -1 k)))))
#s(approx (* (neg (log (neg k))) -4) #s(hole binary64 (* -4 (log (/ -1 k)))))
#s(approx (neg (log (neg k))) #s(hole binary64 (log (/ -1 k))))
#s(approx (log (neg k)) #s(hole binary64 (* -1 (log (/ -1 k)))))
#s(approx (/ (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) (cos k)) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (* l l)) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))) (pow l 2))))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) #s(hole binary64 (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
#s(approx (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))))
#s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))))))
Outputs
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 (*.f64 (cos.f64 k) l) l)))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 (*.f64 (cos.f64 k) l) l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 (*.f64 (cos.f64 k) l) l))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 (*.f64 (cos.f64 k) l) l)))
(*.f64 (/.f64 (*.f64 k k) (*.f64 l l)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (cos.f64 k)))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (/.f64 k l)) (/.f64 (/.f64 k l) (cos.f64 k)))
(*.f64 (*.f64 k k) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (*.f64 (*.f64 (cos.f64 k) l) l)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k))) (neg.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) (/.f64 k (*.f64 l l))))) (neg.f64 (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 k l)) (*.f64 (neg.f64 l) (cos.f64 k)))
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) (/.f64 k l)) (*.f64 (cos.f64 k) l))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) (/.f64 k (*.f64 l l)))) (neg.f64 (cos.f64 k)))
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 (*.f64 (cos.f64 k) l) l))
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) (/.f64 k (*.f64 l l))) (cos.f64 k))
(*.f64 (/.f64 k l) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (/.f64 k l)))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (/.f64 k l)) (/.f64 k l))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) (/.f64 k (*.f64 l l)))
(*.f64 (*.f64 k k) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (*.f64 l l)))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) l)) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) (/.f64 k l))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (/.f64 k l)) k)) (neg.f64 l))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k))) (neg.f64 (neg.f64 (*.f64 l l))))
(/.f64 (*.f64 (neg.f64 k) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k))) (*.f64 l l))
(/.f64 (*.f64 (neg.f64 k) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (*.f64 (neg.f64 l) l))
(/.f64 (*.f64 k (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k))) (*.f64 l (neg.f64 l)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (neg.f64 k)) (*.f64 l l))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) k) (*.f64 (neg.f64 l) l))
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) (neg.f64 k)) (*.f64 l (neg.f64 l)))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) l) l)
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) (/.f64 k l)) l)
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (/.f64 k l)) k) l)
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)) (neg.f64 (*.f64 l l)))
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l))
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (/.f64 k l))
(*.f64 k (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) l))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (neg.f64 l))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) l)
(*.f64 (*.f64 k t) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) (*.f64 t k))
(*.f64 k (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)
(*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (sin.f64 k)) (neg.f64 (sin.f64 k)))
(*.f64 (fabs.f64 (sin.f64 k)) (fabs.f64 (sin.f64 k)))
(*.f64 (exp.f64 (log.f64 (sin.f64 k))) (exp.f64 (log.f64 (sin.f64 k))))
(*.f64 (sin.f64 k) (sin.f64 k))
(pow.f64 (exp.f64 (log.f64 (sin.f64 k))) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 k k)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (cos.f64 (-.f64 k k)) (cos.f64 (+.f64 k k))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 k k)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 k) #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 k k)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 k k))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 k k))) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))
(sin.f64 (+.f64 (neg.f64 (+.f64 k k)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal -2 binary64) k (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 k #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (+.f64 k k)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 k k)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 k k))))
(cos.f64 (neg.f64 (+.f64 k k)))
(cos.f64 (*.f64 #s(literal -2 binary64) k))
(cos.f64 (+.f64 k k))
(+.f64 (*.f64 (sin.f64 (+.f64 k k)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 k k)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (neg.f64 k))
(*.f64 k #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) k)
(/.f64 (neg.f64 (-.f64 (*.f64 k k) (*.f64 k k))) (neg.f64 (-.f64 k k)))
(/.f64 (neg.f64 (fma.f64 (*.f64 k k) k (*.f64 (*.f64 k k) k))) (neg.f64 (fma.f64 k k (-.f64 (*.f64 k k) (*.f64 k k)))))
(/.f64 (-.f64 (*.f64 k k) (*.f64 k k)) (-.f64 k k))
(/.f64 (fma.f64 (*.f64 k k) k (*.f64 (*.f64 k k) k)) (fma.f64 k k (-.f64 (*.f64 k k) (*.f64 k k))))
(neg.f64 (*.f64 #s(literal -2 binary64) k))
(-.f64 (/.f64 (*.f64 k k) (-.f64 k k)) (/.f64 (*.f64 k k) (-.f64 k k)))
(+.f64 k k)
k
t
l
(/.f64 (neg.f64 (neg.f64 k)) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 k) (neg.f64 l))
(/.f64 k l)
(sin.f64 (+.f64 (neg.f64 k) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 k (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 k) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 k) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 k)))
(cos.f64 (neg.f64 k))
(cos.f64 k)
(+.f64 (*.f64 (sin.f64 k) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 k) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) t) k)))
(*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) k) t)))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) t) k)))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) k)) (neg.f64 (*.f64 (*.f64 (*.f64 k k) k) t)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 k k) k) t) k))))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 l l)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) t) k)))
(/.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) k) (*.f64 (*.f64 (*.f64 k k) k) t))
(/.f64 (neg.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 k k) k) t) k)))
(/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) t) k))
(*.f64 (*.f64 #s(literal 2 binary64) l) l)
(*.f64 (*.f64 l l) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 l l))
(fma.f64 (neg.f64 (neg.f64 l)) (neg.f64 (neg.f64 l)) (*.f64 l l))
(fma.f64 (neg.f64 (fabs.f64 l)) (neg.f64 (fabs.f64 l)) (*.f64 l l))
(fma.f64 (fabs.f64 (fabs.f64 l)) (fabs.f64 (fabs.f64 l)) (*.f64 l l))
(fma.f64 (exp.f64 (log.f64 l)) (exp.f64 (log.f64 l)) (*.f64 l l))
(fma.f64 (neg.f64 l) (neg.f64 l) (*.f64 l l))
(fma.f64 (fabs.f64 l) (fabs.f64 l) (*.f64 l l))
(fma.f64 l l (*.f64 l l))
(+.f64 (*.f64 l l) (*.f64 l l))
(*.f64 (neg.f64 (neg.f64 l)) (neg.f64 (neg.f64 l)))
(*.f64 (neg.f64 (fabs.f64 l)) (neg.f64 (fabs.f64 l)))
(*.f64 (fabs.f64 (fabs.f64 l)) (fabs.f64 (fabs.f64 l)))
(*.f64 (exp.f64 (log.f64 l)) (exp.f64 (log.f64 l)))
(*.f64 (neg.f64 l) (neg.f64 l))
(*.f64 (fabs.f64 l) (fabs.f64 l))
(*.f64 l l)
(pow.f64 (exp.f64 (log.f64 l)) #s(literal 2 binary64))
(pow.f64 (neg.f64 l) #s(literal 2 binary64))
(pow.f64 (fabs.f64 l) #s(literal 2 binary64))
(pow.f64 (*.f64 l l) #s(literal 1 binary64))
(pow.f64 l #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal -2 binary64)))
(fabs.f64 (*.f64 l l))
(exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 k k) k) t) k)
(*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))
(*.f64 k (*.f64 (*.f64 (*.f64 k k) k) t))
(*.f64 (*.f64 (*.f64 k k) t) k)
(*.f64 (*.f64 (*.f64 k k) k) t)
(*.f64 k (*.f64 (*.f64 k k) t))
(*.f64 t (*.f64 (*.f64 k k) k))
(*.f64 (*.f64 k k) t)
(*.f64 k (*.f64 k t))
(*.f64 t (*.f64 k k))
(*.f64 (neg.f64 (fabs.f64 k)) (neg.f64 (fabs.f64 k)))
(*.f64 (fabs.f64 (fabs.f64 k)) (fabs.f64 (fabs.f64 k)))
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(+.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (*.f64 (cos.f64 k) l) l))
(*.f64 (*.f64 (cos.f64 k) l) l)
(*.f64 (cos.f64 k) (*.f64 l l))
(*.f64 (*.f64 l l) (cos.f64 k))
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(*.f64 (cos.f64 k) l)
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#s(approx t t)
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#s(approx (* k (* (* k k) t)) (*.f64 (*.f64 (*.f64 k k) k) t))
#s(approx (* (* k k) t) (*.f64 (*.f64 k k) t))
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#s(approx l l)
#s(approx (/ k l) (/.f64 k l))
#s(approx (* 2 (* l l)) (*.f64 (*.f64 l l) #s(literal 2 binary64)))
#s(approx (* l l) (*.f64 l l))
#s(approx (* (* (* (cos k) l) l) 2) (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)))
#s(approx (* (* (cos k) l) l) (*.f64 (*.f64 (cos.f64 k) l) l))
#s(approx (* (cos k) l) (*.f64 (cos.f64 k) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
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#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (*.f64 (*.f64 k k) t))
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#s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (*.f64 k k))
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#s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))
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#s(approx (cos (+ k k)) #s(literal 1 binary64))
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#s(approx (+ k k) (+.f64 k k))
#s(approx k k)
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#s(approx (* k k) (*.f64 k k))
#s(approx (exp (* (log (* k k)) 2)) (*.f64 (*.f64 k k) (*.f64 k k)))
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#s(approx (log (neg k)) (log.f64 (neg.f64 k)))
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#s(approx (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l))))
#s(approx (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 k k) t) (*.f64 #s(literal -1/3 binary64) t)) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 (*.f64 k k) t) (*.f64 #s(literal 2/45 binary64) t)) (*.f64 l l)) (*.f64 k k) (*.f64 (/.f64 t (*.f64 l l)) #s(literal -1/3 binary64))) (*.f64 k k) (/.f64 t (*.f64 l l))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (*.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 (*.f64 k k) (*.f64 k k))))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (*.f64 (fma.f64 (fma.f64 (*.f64 k k) (fma.f64 #s(literal -1/315 binary64) (*.f64 (*.f64 k k) t) (*.f64 #s(literal 2/45 binary64) t)) (*.f64 #s(literal -1/3 binary64) t)) (*.f64 k k) t) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
#s(approx (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) (/.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))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 l l) t)) (fma.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 l l) t)))) (*.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))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) (/.f64 (fma.f64 (fma.f64 (*.f64 k k) (*.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 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 l l) t)))) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal 2/45 binary64) (*.f64 #s(literal -1/315 binary64) (/.f64 (*.f64 l l) t))))) (*.f64 k k) (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 l l) t)) (fma.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.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 2 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
#s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.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))) (*.f64 k k)))
#s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 l l) t)) (fma.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 l l) t)))) (*.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))) (*.f64 k k)))
#s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (fma.f64 (fma.f64 (*.f64 k k) (*.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 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 l l) t)))) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal 2/45 binary64) (*.f64 #s(literal -1/315 binary64) (/.f64 (*.f64 l l) t))))) (*.f64 k k) (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 l l) t)) (fma.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.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 2 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (*.f64 k k)))
#s(approx (* (* (* (cos k) l) l) 2) (*.f64 (*.f64 l l) #s(literal 2 binary64)))
#s(approx (* (* (* (cos k) l) l) 2) (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (neg.f64 (*.f64 k k)) (*.f64 l l))))
#s(approx (* (* (* (cos k) l) l) 2) (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 k k)) (*.f64 l l) (neg.f64 (*.f64 l l))) (*.f64 k k))))
#s(approx (* (* (* (cos k) l) l) 2) (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/360 binary64) (*.f64 k k)) (*.f64 l l) (*.f64 #s(literal 1/12 binary64) (*.f64 l l))) (*.f64 k k) (neg.f64 (*.f64 l l))) (*.f64 k k))))
#s(approx (* (* (cos k) l) l) (*.f64 l l))
#s(approx (* (* (cos k) l) l) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 k k)) (*.f64 l l) (*.f64 l l)))
#s(approx (* (* (cos k) l) l) (fma.f64 (*.f64 k k) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) (*.f64 l l) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 l l)))
#s(approx (* (* (cos k) l) l) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 k k)) (*.f64 l l) (*.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) 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 (*.f64 k k) (fma.f64 (*.f64 (*.f64 k k) l) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) l)) (*.f64 #s(literal -1/2 binary64) l)) (*.f64 k k) l))
#s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ k k)) 1/2) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))
#s(approx (cos (+ k k)) (cos.f64 (+.f64 k k)))
#s(approx (cos k) (cos.f64 k))
#s(approx (* (log (* k k)) 2) (*.f64 (log.f64 k) #s(literal 4 binary64)))
#s(approx (* (neg (log (neg k))) -4) (*.f64 (log.f64 (neg.f64 k)) #s(literal 4 binary64)))
#s(approx (neg (log (neg k))) (neg.f64 (log.f64 (neg.f64 k))))
#s(approx (log (neg k)) (log.f64 (neg.f64 k)))
#s(approx (/ (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (cos k)) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 (*.f64 (cos.f64 k) l) l)))
#s(approx (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) (/.f64 k (*.f64 l l))))
#s(approx (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (/.f64 k l)))
#s(approx (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k))
#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))
#s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ k k)) 1/2) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))
#s(approx (cos (+ k k)) (cos.f64 (+.f64 k k)))
#s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64)))
#s(approx (* (neg (log (neg k))) -4) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64)))
#s(approx (neg (log (neg k))) (neg.f64 (log.f64 (neg.f64 k))))
#s(approx (log (neg k)) (neg.f64 (neg.f64 (log.f64 (neg.f64 k)))))
#s(approx (/ (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (cos k)) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 (*.f64 (cos.f64 k) l) l)))
#s(approx (* (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (/ k l)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) (/.f64 k (*.f64 l l))))
#s(approx (* (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) k) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k))
#s(approx (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)))
#s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)))

eval57.0ms (0.8%)

Memory
11.8MiB live, 109.5MiB allocated; 16ms collecting garbage
Compiler

Compiled 7 476 to 2 869 computations (61.6% saved)

prune81.0ms (1.2%)

Memory
-1.0MiB live, 192.8MiB allocated; 26ms collecting garbage
Pruning

58 alts after pruning (54 fresh and 4 done)

PrunedKeptTotal
New49627523
Fresh122739
Picked325
Done022
Total51158569
Accuracy
97.4%
Counts
569 → 58
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.5%
(/.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 #s(approx (+ 1 (pow (/ k t) 2)) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
46.0%
(/.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))))
46.0%
(/.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))))
23.3%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) #s(approx (tan k) k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
26.0%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k))) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
38.3%
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
39.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) l) l) (cos.f64 k))))
70.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) (*.f64 t k)) k) (*.f64 l l)) (cos.f64 k))))
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 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) #s(literal 1 binary64)))))
70.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (cos.f64 k)) (*.f64 l l))))
32.6%
(/.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 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64))))))
33.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) #s(literal 1 binary64)))))
82.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) (*.f64 t k)) l) (/.f64 k l)) (cos.f64 k))))
91.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (/.f64 k l)) (cos.f64 k))))
81.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) l) (/.f64 k l)) (fma.f64 (sin.f64 k) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 k) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))))
62.8%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) l) (/.f64 k l)) #s(approx (cos k) #s(literal 1 binary64)))))
66.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 2 binary64))) t) k) l) (/.f64 k l)) (cos.f64 k))))
70.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (*.f64 k k)) t) k) l) (/.f64 k l)) (cos.f64 k))))
85.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 k l) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (/.f64 k l))) (cos.f64 k))))
71.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) (/.f64 k (*.f64 l l))) (cos.f64 k))))
81.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) (/.f64 k l)) (*.f64 (cos.f64 k) l))))
81.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 k (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) l)) (/.f64 k l)) (cos.f64 k))))
63.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 #s(approx (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k k) t) t) l) (*.f64 (*.f64 k k) k))) (/.f64 k l)) (cos.f64 k))))
58.1%
(/.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))) (*.f64 (*.f64 (*.f64 k k) k) k))))
85.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (/.f64 k l)) (/.f64 (/.f64 k l) (cos.f64 k)))))
58.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
57.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (*.f64 l l)))))
58.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
57.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
46.5%
#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) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
71.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) k) k))
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) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 k k)))
67.8%
#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) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (*.f64 k k)))
67.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) (cos.f64 k)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (*.f64 k k)))
58.0%
#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) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (*.f64 k k)))
67.8%
#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 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.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 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)))
61.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) t) k)))
67.8%
#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 (cos.f64 k) (*.f64 l l))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) (*.f64 (*.f64 k k) t))))
73.3%
#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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)))
60.7%
#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 l l)) (*.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 k)) t)))
61.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
62.3%
#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 l l)) (*.f64 (*.f64 k k) (*.f64 k (*.f64 k t)))))
60.7%
#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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) t)))
61.9%
#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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))) (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))) t))))
0.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) #s(approx (* (neg (log (neg k))) -4) (*.f64 (log.f64 (neg.f64 k)) #s(literal 4 binary64))))) t)))
62.3%
#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 l l)) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
61.9%
#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 l l)) (*.f64 k (*.f64 k (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))) t)))))
63.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* (cos k) (* l l)) (*.f64 l l))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 k k))))
58.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* (cos k) (* l l)) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 k k))))
63.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))) (*.f64 k k)))
25.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.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))) (*.f64 k k))) (*.f64 k k)))
67.8%
#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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) 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 k)) (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t))))
0.0%
#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 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64))))) (/.f64 (*.f64 l l) t)))
61.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) k) t))))
24.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) (/.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))) (*.f64 (*.f64 k k) (*.f64 k k)))))
Compiler

Compiled 3 139 to 2 422 computations (22.8% saved)

regimes201.0ms (2.9%)

Memory
54.3MiB live, 415.2MiB allocated; 85ms collecting garbage
Counts
95 → 2
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 l l)) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k (*.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 l l)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) 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) k) (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k 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 k k)) (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 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 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 k k) k) k)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.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 l l)) (*.f64 (exp.f64 (*.f64 (log.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) #s(approx (* (neg (log (neg k))) -4) (*.f64 (log.f64 (neg.f64 k)) #s(literal 4 binary64))))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.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 #s(literal 2 binary64) (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64))))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) #s(approx (tan k) k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t 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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 k 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 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.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 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
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(/.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))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))))) t) (*.f64 k k)) (*.f64 (cos.f64 k) (*.f64 l l)))))
(/.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) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) l) (/.f64 k l)) (fma.f64 (sin.f64 k) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 k) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (/.f64 k l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (/.f64 k l)) (/.f64 (/.f64 k l) (cos.f64 k)))))
Calls

6 calls:

37.0ms
(*.f64 l l)
37.0ms
l
33.0ms
(/.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))))
33.0ms
k
33.0ms
t
Results
AccuracySegmentsBranch
95.3%2(*.f64 l l)
91.7%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)))
91.7%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))))
91.7%1t
95.3%2l
95.4%2k
Compiler

Compiled 45 to 50 computations (-11.1% saved)

regimes69.0ms (1%)

Memory
-24.0MiB live, 117.3MiB allocated; 10ms collecting garbage
Counts
81 → 2
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 l l)) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k (*.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 l l)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) 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) k) (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k 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 k k)) (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 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 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 k k) k) k)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.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 l l)) (*.f64 (exp.f64 (*.f64 (log.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) #s(approx (* (neg (log (neg k))) -4) (*.f64 (log.f64 (neg.f64 k)) #s(literal 4 binary64))))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.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 #s(literal 2 binary64) (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64))))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) #s(approx (tan k) k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t 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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 k 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 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.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 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (*.f64 k (/.f64 k (*.f64 t 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 l l)) (*.f64 k (*.f64 k (*.f64 (exp.f64 (*.f64 (log.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 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k))) (/.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))) (*.f64 (*.f64 (*.f64 k k) k) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* 2 (* (cos k) (* l l))) (* (* (pow (sin k) 2) t) (* k k))) (/.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))) (*.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))) #s(approx (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) (/.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))) (*.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 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.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))) (*.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 k)) t)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (*.f64 k k))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 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))) (*.f64 (*.f64 k k) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (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))) (*.f64 (*.f64 (*.f64 k k) 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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))) (*.f64 (exp.f64 (*.f64 (log.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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 binary64))) t) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) l) l) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (*.f64 k k)) t) k) l) (/.f64 k l)) (cos.f64 k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* (cos k) (* l l)) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 #s(approx (* (cos k) l) l) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) l) (/.f64 k l)) #s(approx (cos k) #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) #s(approx (* (cos k) (* l l)) (*.f64 l l))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 #s(approx (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k k) t) t) l) (*.f64 (*.f64 k k) k))) (/.f64 k l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (/.f64 (*.f64 (*.f64 k (*.f64 t t)) t) l) l)) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 (*.f64 (*.f64 t t) t) 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)) #s(approx (tan k) 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 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) 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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) 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 (cos.f64 k) (*.f64 l l))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #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 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) 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 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) (cos.f64 k)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 k k)) (*.f64 (cos.f64 k) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (cos.f64 k)) (/.f64 (*.f64 k k) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) (/.f64 k l)) (*.f64 (cos.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) (/.f64 k (*.f64 l l))) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (cos.f64 k)) (*.f64 l l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) (cos.f64 k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) k) k))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) (*.f64 t k)) k) (*.f64 l l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (/.f64 k l)) (/.f64 (/.f64 k l) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 k (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) l)) (/.f64 k l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 k l) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (/.f64 k l))) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) l) (/.f64 k l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) (*.f64 t k)) l) (/.f64 k l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) l) l) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k))) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (*.f64 (sin.f64 k) (tan.f64 k))) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (*.f64 k (/.f64 k (*.f64 t t))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 t t) t) (/.f64 (sin.f64 k) (*.f64 l l))) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t 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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 k k)))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (*.f64 k k)) t) k) l) (/.f64 k l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 k l) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (/.f64 k l))) (cos.f64 k))))
Calls

3 calls:

21.0ms
l
20.0ms
k
18.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
92.3%2(*.f64 l l)
92.3%2l
95.1%2k
Compiler

Compiled 4 to 10 computations (-150% saved)

regimes29.0ms (0.4%)

Memory
-9.1MiB live, 39.9MiB allocated; 11ms collecting garbage
Counts
72 → 2
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 l l)) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k (*.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 l l)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) 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) k) (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k 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 k k)) (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 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 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 k k) k) k)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.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 l l)) (*.f64 (exp.f64 (*.f64 (log.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) #s(approx (* (neg (log (neg k))) -4) (*.f64 (log.f64 (neg.f64 k)) #s(literal 4 binary64))))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.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 #s(literal 2 binary64) (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64))))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) #s(approx (tan k) k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t 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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 k 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 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.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 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (*.f64 k (/.f64 k (*.f64 t 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 l l)) (*.f64 k (*.f64 k (*.f64 (exp.f64 (*.f64 (log.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 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k))) (/.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))) (*.f64 (*.f64 (*.f64 k k) k) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* 2 (* (cos k) (* l l))) (* (* (pow (sin k) 2) t) (* k k))) (/.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))) (*.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))) #s(approx (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) (/.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))) (*.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 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.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))) (*.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 k)) t)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (*.f64 k k))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 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))) (*.f64 (*.f64 k k) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (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))) (*.f64 (*.f64 (*.f64 k k) 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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))) (*.f64 (exp.f64 (*.f64 (log.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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 binary64))) t) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) l) l) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (*.f64 k k)) t) k) l) (/.f64 k l)) (cos.f64 k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* (cos k) (* l l)) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 #s(approx (* (cos k) l) l) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) l) (/.f64 k l)) #s(approx (cos k) #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) #s(approx (* (cos k) (* l l)) (*.f64 l l))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 #s(approx (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k k) t) t) l) (*.f64 (*.f64 k k) k))) (/.f64 k l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (/.f64 (*.f64 (*.f64 k (*.f64 t t)) t) l) l)) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 (*.f64 (*.f64 t t) t) 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)) #s(approx (tan k) 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 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) 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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) 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 (cos.f64 k) (*.f64 l l))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #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 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) 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 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) (cos.f64 k)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 k k)) (*.f64 (cos.f64 k) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (cos.f64 k)) (/.f64 (*.f64 k k) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) (/.f64 k l)) (*.f64 (cos.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) (/.f64 k (*.f64 l l))) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (cos.f64 k)) (*.f64 l l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) (cos.f64 k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) k) k))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) (*.f64 t k)) k) (*.f64 l l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (/.f64 k l)) (/.f64 (/.f64 k l) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 k (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) l)) (/.f64 k l)) (cos.f64 k))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (*.f64 k k)) t) k) l) (/.f64 k l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (/.f64 k l)) (/.f64 (/.f64 k l) (cos.f64 k)))))
Calls

1 calls:

25.0ms
k
Results
AccuracySegmentsBranch
95.1%2k
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes213.0ms (3.1%)

Memory
32.5MiB live, 262.0MiB allocated; 167ms collecting garbage
Counts
70 → 2
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 l l)) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k (*.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 l l)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) 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) k) (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k 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 k k)) (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 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 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 k k) k) k)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.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 l l)) (*.f64 (exp.f64 (*.f64 (log.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) #s(approx (* (neg (log (neg k))) -4) (*.f64 (log.f64 (neg.f64 k)) #s(literal 4 binary64))))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.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 #s(literal 2 binary64) (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64))))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) #s(approx (tan k) k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t 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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 k 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 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.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 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (*.f64 k (/.f64 k (*.f64 t 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 l l)) (*.f64 k (*.f64 k (*.f64 (exp.f64 (*.f64 (log.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 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k))) (/.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))) (*.f64 (*.f64 (*.f64 k k) k) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* 2 (* (cos k) (* l l))) (* (* (pow (sin k) 2) t) (* k k))) (/.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))) (*.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))) #s(approx (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) (/.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))) (*.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 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.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))) (*.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 k)) t)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (*.f64 k k))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 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))) (*.f64 (*.f64 k k) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (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))) (*.f64 (*.f64 (*.f64 k k) 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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))) (*.f64 (exp.f64 (*.f64 (log.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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 binary64))) t) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) l) l) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (*.f64 k k)) t) k) l) (/.f64 k l)) (cos.f64 k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* (cos k) (* l l)) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 #s(approx (* (cos k) l) l) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) l) (/.f64 k l)) #s(approx (cos k) #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) #s(approx (* (cos k) (* l l)) (*.f64 l l))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 #s(approx (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k k) t) t) l) (*.f64 (*.f64 k k) k))) (/.f64 k l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (/.f64 (*.f64 (*.f64 k (*.f64 t t)) t) l) l)) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 (*.f64 (*.f64 t t) t) 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)) #s(approx (tan k) 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 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) 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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) 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 (cos.f64 k) (*.f64 l l))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #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 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) 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 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) (cos.f64 k)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 k k)) (*.f64 (cos.f64 k) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (cos.f64 k)) (/.f64 (*.f64 k k) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) (/.f64 k l)) (*.f64 (cos.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) (/.f64 k (*.f64 l l))) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (cos.f64 k)) (*.f64 l l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) (cos.f64 k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) k) k))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) (*.f64 t k)) k) (*.f64 l l)) (cos.f64 k))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (*.f64 k k)) t) k) l) (/.f64 k l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) (/.f64 k l)) (*.f64 (cos.f64 k) l))))
Calls

6 calls:

92.0ms
l
29.0ms
t
28.0ms
(*.f64 l l)
24.0ms
(*.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)))
21.0ms
k
Results
AccuracySegmentsBranch
88.3%2(*.f64 l l)
88.3%2l
83.6%2t
81.7%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)))
81.7%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))))
91.1%2k
Compiler

Compiled 45 to 50 computations (-11.1% saved)

regimes71.0ms (1%)

Memory
19.6MiB live, 111.5MiB allocated; 8ms collecting garbage
Counts
64 → 2
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 l l)) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k (*.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 l l)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) 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) k) (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k 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 k k)) (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 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 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 k k) k) k)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.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 l l)) (*.f64 (exp.f64 (*.f64 (log.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) #s(approx (* (neg (log (neg k))) -4) (*.f64 (log.f64 (neg.f64 k)) #s(literal 4 binary64))))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.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 #s(literal 2 binary64) (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64))))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) #s(approx (tan k) k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t 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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 k 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 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.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 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (*.f64 k (/.f64 k (*.f64 t 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 l l)) (*.f64 k (*.f64 k (*.f64 (exp.f64 (*.f64 (log.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 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k))) (/.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))) (*.f64 (*.f64 (*.f64 k k) k) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* 2 (* (cos k) (* l l))) (* (* (pow (sin k) 2) t) (* k k))) (/.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))) (*.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))) #s(approx (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) (/.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))) (*.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 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.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))) (*.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 k)) t)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (*.f64 k k))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 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))) (*.f64 (*.f64 k k) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (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))) (*.f64 (*.f64 (*.f64 k k) 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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))) (*.f64 (exp.f64 (*.f64 (log.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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 binary64))) t) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) l) l) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (*.f64 k k)) t) k) l) (/.f64 k l)) (cos.f64 k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* (cos k) (* l l)) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 #s(approx (* (cos k) l) l) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) l) (/.f64 k l)) #s(approx (cos k) #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) #s(approx (* (cos k) (* l l)) (*.f64 l l))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 #s(approx (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k k) t) t) l) (*.f64 (*.f64 k k) k))) (/.f64 k l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (/.f64 (*.f64 (*.f64 k (*.f64 t t)) t) l) l)) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 (*.f64 (*.f64 t t) t) 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)) #s(approx (tan k) 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 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) 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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) 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 (cos.f64 k) (*.f64 l l))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #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 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) 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 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) (cos.f64 k)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 k k)) (*.f64 (cos.f64 k) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (cos.f64 k)) (/.f64 (*.f64 k k) (*.f64 l l)))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (*.f64 k k)) t) k) l) (/.f64 k l)) (cos.f64 k))))
#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 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k)))
Calls

4 calls:

21.0ms
k
16.0ms
l
16.0ms
t
15.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
75.0%2t
81.1%2(*.f64 l l)
81.1%2l
83.6%2k
Compiler

Compiled 5 to 13 computations (-160% saved)

regimes90.0ms (1.3%)

Memory
-30.3MiB live, 117.1MiB allocated; 19ms collecting garbage
Counts
54 → 2
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 l l)) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k (*.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 l l)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) 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) k) (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k 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 k k)) (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 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 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 k k) k) k)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.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 l l)) (*.f64 (exp.f64 (*.f64 (log.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) #s(approx (* (neg (log (neg k))) -4) (*.f64 (log.f64 (neg.f64 k)) #s(literal 4 binary64))))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.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 #s(literal 2 binary64) (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64))))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) #s(approx (tan k) k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t 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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 k 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 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.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 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (*.f64 k (/.f64 k (*.f64 t 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 l l)) (*.f64 k (*.f64 k (*.f64 (exp.f64 (*.f64 (log.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 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k))) (/.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))) (*.f64 (*.f64 (*.f64 k k) k) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* 2 (* (cos k) (* l l))) (* (* (pow (sin k) 2) t) (* k k))) (/.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))) (*.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))) #s(approx (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) (/.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))) (*.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 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.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))) (*.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 k)) t)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (*.f64 k k))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 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))) (*.f64 (*.f64 k k) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (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))) (*.f64 (*.f64 (*.f64 k k) 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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))) (*.f64 (exp.f64 (*.f64 (log.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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 binary64))) t) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) l) l) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (*.f64 k k)) t) k) l) (/.f64 k l)) (cos.f64 k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* (cos k) (* l l)) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 #s(approx (* (cos k) l) l) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) l) (/.f64 k l)) #s(approx (cos k) #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) #s(approx (* (cos k) (* l l)) (*.f64 l l))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 #s(approx (/ (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k) l) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k k) t) t) l) (*.f64 (*.f64 k k) k))) (/.f64 k l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (/.f64 (*.f64 (*.f64 k (*.f64 t t)) t) l) l)) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 (*.f64 (*.f64 t t) t) 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)) #s(approx (tan k) 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) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (*.f64 k k)) t) k) l) (/.f64 k l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) l) (/.f64 k l)) #s(approx (cos k) #s(literal 1 binary64)))))
Calls

6 calls:

15.0ms
t
13.0ms
l
13.0ms
k
11.0ms
(*.f64 l l)
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
70.7%1t
73.0%2(*.f64 l l)
73.0%2l
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))))
73.2%2k
Compiler

Compiled 45 to 50 computations (-11.1% saved)

regimes37.0ms (0.5%)

Memory
12.6MiB live, 58.2MiB allocated; 2ms 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))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k (*.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 l l)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) 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) k) (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k 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 k k)) (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 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 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 k k) k) k)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.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 l l)) (*.f64 (exp.f64 (*.f64 (log.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) #s(approx (* (neg (log (neg k))) -4) (*.f64 (log.f64 (neg.f64 k)) #s(literal 4 binary64))))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.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 #s(literal 2 binary64) (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64))))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) #s(approx (tan k) k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t 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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 k 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 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.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 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (*.f64 k (/.f64 k (*.f64 t 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 l l)) (*.f64 k (*.f64 k (*.f64 (exp.f64 (*.f64 (log.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 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k))) (/.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))) (*.f64 (*.f64 (*.f64 k k) k) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* 2 (* (cos k) (* l l))) (* (* (pow (sin k) 2) t) (* k k))) (/.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))) (*.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))) #s(approx (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) (/.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))) (*.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 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.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))) (*.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 k)) t)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (*.f64 k k))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 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))) (*.f64 (*.f64 k k) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (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))) (*.f64 (*.f64 (*.f64 k k) 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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))) (*.f64 (exp.f64 (*.f64 (log.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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 binary64))) t) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) l) l) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (*.f64 k k)) t) k) l) (/.f64 k l)) (cos.f64 k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* (cos k) (* l l)) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 #s(approx (* (cos k) l) l) l) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) #s(literal 1 binary64)))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (*.f64 k k)) t) k) l) (/.f64 k l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) (cos.f64 k))))
Calls

3 calls:

13.0ms
l
12.0ms
k
10.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
73.0%2(*.f64 l l)
73.0%2l
70.7%1k
Compiler

Compiled 4 to 10 computations (-150% saved)

regimes64.0ms (0.9%)

Memory
-0.2MiB live, 97.2MiB allocated; 7ms collecting garbage
Counts
43 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k (*.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 l l)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) 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) k) (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k 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 k k)) (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 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 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 k k) k) k)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.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 l l)) (*.f64 (exp.f64 (*.f64 (log.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) #s(approx (* (neg (log (neg k))) -4) (*.f64 (log.f64 (neg.f64 k)) #s(literal 4 binary64))))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.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 #s(literal 2 binary64) (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64))))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) #s(approx (tan k) k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t 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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 k 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 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.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 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (*.f64 k (/.f64 k (*.f64 t 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 l l)) (*.f64 k (*.f64 k (*.f64 (exp.f64 (*.f64 (log.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 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k))) (/.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))) (*.f64 (*.f64 (*.f64 k k) k) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* 2 (* (cos k) (* l l))) (* (* (pow (sin k) 2) t) (* k k))) (/.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))) (*.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))) #s(approx (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) (/.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))) (*.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 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.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))) (*.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 k)) t)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (*.f64 k k))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 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))) (*.f64 (*.f64 k k) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (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))) (*.f64 (*.f64 (*.f64 k k) 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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))) (*.f64 (exp.f64 (*.f64 (log.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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 binary64))) t) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) l) l) (cos.f64 k))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) l) l) (cos.f64 k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))) (*.f64 k k)))
Calls

6 calls:

13.0ms
l
12.0ms
k
11.0ms
t
9.0ms
(*.f64 l l)
8.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
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))))
67.1%2k
63.9%1t
66.2%2(*.f64 l l)
66.2%2l
Compiler

Compiled 45 to 50 computations (-11.1% saved)

regimes23.0ms (0.3%)

Memory
-9.0MiB live, 37.0MiB allocated; 3ms collecting garbage
Counts
42 → 2
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 l l)) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k (*.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 l l)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) 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) k) (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k 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 k k)) (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 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 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 k k) k) k)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.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 l l)) (*.f64 (exp.f64 (*.f64 (log.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) #s(approx (* (neg (log (neg k))) -4) (*.f64 (log.f64 (neg.f64 k)) #s(literal 4 binary64))))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.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 #s(literal 2 binary64) (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64))))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) #s(approx (tan k) k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t 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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 k 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 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.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 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (*.f64 k (/.f64 k (*.f64 t 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 l l)) (*.f64 k (*.f64 k (*.f64 (exp.f64 (*.f64 (log.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 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k))) (/.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))) (*.f64 (*.f64 (*.f64 k k) k) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* 2 (* (cos k) (* l l))) (* (* (pow (sin k) 2) t) (* k k))) (/.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))) (*.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))) #s(approx (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) (/.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))) (*.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 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.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))) (*.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 k)) t)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (*.f64 k k))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 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))) (*.f64 (*.f64 k k) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (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))) (*.f64 (*.f64 (*.f64 k k) 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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))) (*.f64 (exp.f64 (*.f64 (log.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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 binary64))) t) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) (cos.f64 k))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) (cos.f64 k))))
Calls

2 calls:

11.0ms
k
9.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
66.2%2(*.f64 l l)
63.9%1k
Compiler

Compiled 3 to 7 computations (-133.3% saved)

regimes31.0ms (0.4%)

Memory
1.0MiB live, 47.3MiB allocated; 1ms collecting garbage
Counts
41 → 2
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 l l)) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k (*.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 l l)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) 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) k) (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k 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 k k)) (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 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 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 k k) k) k)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.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 l l)) (*.f64 (exp.f64 (*.f64 (log.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) #s(approx (* (neg (log (neg k))) -4) (*.f64 (log.f64 (neg.f64 k)) #s(literal 4 binary64))))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.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 #s(literal 2 binary64) (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64))))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) #s(approx (tan k) k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t 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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 k 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 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.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 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (*.f64 k (/.f64 k (*.f64 t 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 l l)) (*.f64 k (*.f64 k (*.f64 (exp.f64 (*.f64 (log.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 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k))) (/.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))) (*.f64 (*.f64 (*.f64 k k) k) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* 2 (* (cos k) (* l l))) (* (* (pow (sin k) 2) t) (* k k))) (/.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))) (*.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))) #s(approx (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) (/.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))) (*.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 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.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))) (*.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 k)) t)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (*.f64 k k))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 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))) (*.f64 (*.f64 k k) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (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))) (*.f64 (*.f64 (*.f64 k k) 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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))) (*.f64 (exp.f64 (*.f64 (log.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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 binary64))) t) (*.f64 k k))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))) (*.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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 binary64))) t) (*.f64 k k))))
Calls

2 calls:

18.0ms
l
9.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
65.5%2l
65.5%2(*.f64 l l)
Compiler

Compiled 3 to 7 computations (-133.3% saved)

regimes44.0ms (0.6%)

Memory
4.5MiB live, 55.6MiB allocated; 5ms collecting garbage
Counts
40 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k (*.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 l l)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) 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) k) (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k 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 k k)) (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 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 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 k k) k) k)) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.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 l l)) (*.f64 (exp.f64 (*.f64 (log.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) #s(approx (* (neg (log (neg k))) -4) (*.f64 (log.f64 (neg.f64 k)) #s(literal 4 binary64))))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k) k) (*.f64 l l)) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.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 #s(literal 2 binary64) (exp.f64 #s(approx (* (log (* k k)) 2) (*.f64 (neg.f64 (log.f64 (neg.f64 k))) #s(literal -4 binary64))))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) #s(approx (tan k) k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t 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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 k 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 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.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 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k l) (*.f64 k l)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (*.f64 k (/.f64 k (*.f64 t 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 l l)) (*.f64 k (*.f64 k (*.f64 (exp.f64 (*.f64 (log.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 (* (cos k) (* l l))) (* (* (- 1/2 (* 1/2 (cos (* 2 k)))) t) (* k k))) (/.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))) (*.f64 (*.f64 (*.f64 k k) k) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* 2 (* (cos k) (* l l))) (* (* (pow (sin k) 2) t) (* k k))) (/.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))) (*.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))) #s(approx (/ (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (* k k)) (/.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))) (*.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 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.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))) (*.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 k)) t)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (*.f64 k k))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 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))) (*.f64 (*.f64 k k) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (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))) (*.f64 (*.f64 (*.f64 k k) 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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))) (*.f64 (exp.f64 (*.f64 (log.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 #s(approx (/ (* (* (* (cos k) l) l) 2) (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))) (*.f64 k k)))
Calls

3 calls:

17.0ms
(*.f64 l l)
13.0ms
l
10.0ms
t
Results
AccuracySegmentsBranch
63.9%1t
63.9%1l
63.9%1(*.f64 l l)
Compiler

Compiled 4 to 10 computations (-150% saved)

regimes16.0ms (0.2%)

Memory
-17.0MiB live, 29.5MiB allocated; 2ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k (*.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 l l)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) 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) k) (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k 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 k k)) (/.f64 (*.f64 l l) (*.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 k k)) (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t))))
Calls

6 calls:

3.0ms
(*.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)))
3.0ms
t
3.0ms
l
3.0ms
k
2.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
63.9%1(*.f64 l l)
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%1l
63.9%1k
63.9%1t
Compiler

Compiled 45 to 50 computations (-11.1% saved)

regimes14.0ms (0.2%)

Memory
25.8MiB live, 25.8MiB allocated; 0ms collecting garbage
Counts
7 → 1
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 l l)) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k (*.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 l l)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) 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) k) (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k 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 l l)) (*.f64 (*.f64 k k) (*.f64 k (*.f64 k t)))))
Calls

6 calls:

2.0ms
t
2.0ms
l
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
62.3%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
62.3%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
62.3%1(*.f64 l l)
62.3%1k
62.3%1t
62.3%1l
Compiler

Compiled 45 to 50 computations (-11.1% saved)

regimes7.0ms (0.1%)

Memory
-32.3MiB live, 14.7MiB allocated; 1ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

6 calls:

2.0ms
k
1.0ms
t
1.0ms
l
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
(/.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
62.3%1k
62.3%1(*.f64 l l)
62.3%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
62.3%1l
62.3%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
62.3%1t
Compiler

Compiled 45 to 50 computations (-11.1% saved)

bsearch34.0ms (0.5%)

Memory
4.1MiB live, 50.5MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
30.0ms
2.3105525175584888e+72
1.5538934690233684e+75
Samples
12.0ms81×0valid
7.0ms26×2valid
5.0ms21×1valid
Compiler

Compiled 532 to 537 computations (-0.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sin: 5.0ms (24% of total)
ival-tan: 4.0ms (19.2% of total)
ival-mult!: 3.0ms (14.4% of total)
adjust: 2.0ms (9.6% of total)
ival-pow2: 2.0ms (9.6% of total)
ival-div!: 2.0ms (9.6% of total)
ival-pow: 2.0ms (9.6% of total)
ival-add!: 0.0ms (0% of total)
ival-sub!: 0.0ms (0% of total)

bsearch35.0ms (0.5%)

Memory
42.9MiB live, 42.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
31.0ms
3.780366975187182e-15
2.492973526900919e-8
Samples
10.0ms44×2valid
7.0ms66×0valid
5.0ms19×3valid
2.0ms15×1valid
Compiler

Compiled 640 to 646 computations (-0.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
adjust: 5.0ms (24.7% of total)
ival-pow2: 3.0ms (14.8% of total)
ival-div!: 3.0ms (14.8% of total)
ival-mult!: 3.0ms (14.8% of total)
ival-pow: 2.0ms (9.9% of total)
ival-sin: 2.0ms (9.9% of total)
ival-add!: 1.0ms (4.9% of total)
ival-tan: 1.0ms (4.9% of total)
ival-sub!: 1.0ms (4.9% of total)

bsearch35.0ms (0.5%)

Memory
-44.5MiB live, 3.6MiB allocated; 43ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
34.0ms
3.780366975187182e-15
2.492973526900919e-8
Compiler

Compiled 640 to 646 computations (-0.9% saved)

bsearch4.0ms (0.1%)

Memory
3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
3.0ms
3.780366975187182e-15
2.492973526900919e-8
Compiler

Compiled 640 to 655 computations (-2.3% saved)

bsearch4.0ms (0.1%)

Memory
3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
3.0ms
3.780366975187182e-15
2.492973526900919e-8
Compiler

Compiled 649 to 664 computations (-2.3% saved)

bsearch36.0ms (0.5%)

Memory
34.6MiB live, 34.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
33.0ms
5.750441387347944e+25
1.2902808207925141e+26
Samples
12.0ms26×2valid
11.0ms44×0valid
3.0ms1valid
1.0ms3valid
Compiler

Compiled 378 to 385 computations (-1.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-sin: 5.0ms (21.1% of total)
adjust: 4.0ms (16.9% of total)
ival-tan: 4.0ms (16.9% of total)
ival-div!: 3.0ms (12.7% of total)
ival-mult!: 3.0ms (12.7% of total)
ival-pow2: 2.0ms (8.5% of total)
ival-pow: 2.0ms (8.5% of total)
ival-add!: 1.0ms (4.2% of total)
ival-sub!: 1.0ms (4.2% of total)

bsearch34.0ms (0.5%)

Memory
-14.6MiB live, 34.1MiB allocated; 9ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
31.0ms
5.002723773075926e+136
9.955309302102673e+137
Samples
15.0ms62×0valid
5.0ms18×2valid
4.0ms13×3valid
3.0ms19×1valid
Compiler

Compiled 518 to 529 computations (-2.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-tan: 8.0ms (35.3% of total)
adjust: 3.0ms (13.2% of total)
ival-sin: 3.0ms (13.2% of total)
ival-pow2: 2.0ms (8.8% of total)
ival-div!: 2.0ms (8.8% of total)
ival-mult!: 2.0ms (8.8% of total)
ival-add!: 1.0ms (4.4% of total)
ival-pow: 1.0ms (4.4% of total)
ival-sub!: 0.0ms (0% of total)

bsearch36.0ms (0.5%)

Memory
-4.4MiB live, 41.7MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
32.0ms
3.2526337444468314e-158
2.261043021195217e-155
Samples
11.0ms41×3valid
8.0ms34×2valid
4.0ms39×0valid
2.0ms14×1valid
Compiler

Compiled 628 to 633 computations (-0.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
adjust: 7.0ms (34.6% of total)
ival-pow2: 3.0ms (14.8% of total)
ival-div!: 3.0ms (14.8% of total)
ival-mult!: 3.0ms (14.8% of total)
ival-pow: 2.0ms (9.9% of total)
ival-add!: 1.0ms (4.9% of total)
ival-tan: 1.0ms (4.9% of total)
ival-sin: 1.0ms (4.9% of total)
ival-sub!: 1.0ms (4.9% of total)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.116951241879558e+282
1.4995314249123814e+285
Compiler

Compiled 27 to 25 computations (7.4% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.116951241879558e+282
1.4995314249123814e+285
Compiler

Compiled 27 to 25 computations (7.4% saved)

derivations427.0ms (6.3%)

Memory
10.1MiB live, 242.5MiB allocated; 25ms collecting garbage
Stop Event
fuel
Compiler

Compiled 261 to 152 computations (41.8% saved)

preprocess333.0ms (4.9%)

Memory
-2.3MiB live, 369.1MiB allocated; 63ms collecting garbage
Remove

(negabs t)

(abs k)

(abs l)

Compiler

Compiled 5 342 to 4 751 computations (11.1% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...