Toniolo and Linder, Equation (10-)

Time bar (total: 8.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze654.0ms (7.9%)

Memory
2.3MiB live, 573.9MiB allocated; 85ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
0%0%99.9%0.1%0%0%0%7
0%0%99.9%0.1%0%0%0%8
0%0%99.9%0.1%0%0%0%9
2%2%97.9%0.1%0%0%0%10
2.9%2.9%96.9%0.1%0%0%0%11
3.8%3.8%96.1%0.1%0%0%0%12
Compiler

Compiled 27 to 21 computations (22.2% saved)

sample3.8s (45.9%)

Memory
31.7MiB live, 4 460.3MiB allocated; 2.3s collecting garbage
Samples
1.5s1 601×2valid
933.0ms4 233×0valid
543.0ms1 311×3valid
334.0ms1 100×1valid
4.0ms11×4valid
Precisions
Click to see histograms. Total time spent on operations: 2.8s
adjust: 1.3s (47.2% of total)
ival-pow2: 273.0ms (9.7% of total)
ival-pow: 261.0ms (9.2% of total)
ival-mult!: 249.0ms (8.8% of total)
ival-div!: 210.0ms (7.4% of total)
ival-sin: 200.0ms (7.1% of total)
ival-tan: 185.0ms (6.5% of total)
ival-sub!: 67.0ms (2.4% of total)
ival-add!: 47.0ms (1.7% of total)
Bogosity

preprocess42.0ms (0.5%)

Memory
-37.8MiB live, 54.8MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
086256
1293230
21638210
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.7%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.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)

series59.0ms (0.7%)

Memory
33.3MiB live, 84.3MiB allocated; 9ms collecting garbage
Counts
19 → 40
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)) (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 (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
13.0ms
l
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))
7.0ms
t
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))
7.0ms
t
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))
7.0ms
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))

rewrite158.0ms (1.9%)

Memory
-1.9MiB live, 184.3MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02351326
02561285
113631233
081511198
Stop Event
iter-limit
node-limit
iter-limit
Counts
59 → 188
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)) (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 (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))))))
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t
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(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)) (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)))
#s(approx (/ k t) (/.f64 k t))
#s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64))
#s(approx (+ 1 (pow (/ k t) 2)) (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 l k) (*.f64 l k)) (*.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 (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 k k) (/.f64 #s(literal 1 binary64) (*.f64 t t)))))

eval16.0ms (0.2%)

Memory
-9.3MiB live, 36.3MiB allocated; 3ms collecting garbage
Compiler

Compiled 2 245 to 1 059 computations (52.8% saved)

prune15.0ms (0.2%)

Memory
-18.0MiB live, 29.2MiB allocated; 3ms collecting garbage
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New15817175
Fresh000
Picked101
Done000
Total15917176
Accuracy
78.1%
Counts
176 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.3%
(/.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)))
29.7%
(/.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)))))
29.7%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
22.4%
(/.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))))
25.1%
(/.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)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
27.5%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) #s(approx (sin k) k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
33.2%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) l) (/.f64 (sin.f64 k) l)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
40.5%
(/.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))))
36.5%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
28.5%
(/.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))))
27.8%
(/.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))))
66.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (-.f64 #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)))))
58.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
58.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
46.8%
#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 l k) (*.f64 l k)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
66.0%
#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 (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))))
62.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
Compiler

Compiled 866 to 816 computations (5.8% saved)

series148.0ms (1.8%)

Memory
-34.9MiB live, 163.1MiB allocated; 115ms collecting garbage
Counts
50 → 84
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) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
(pow.f64 t #s(literal 3 binary64))
#s(literal 3 binary64)
(sin.f64 k)
(tan.f64 k)
(-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64))
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)) (pow t 2))))
#s(approx (/ k t) #s(hole binary64 (/ k t)))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (/ (* (pow t 3) (sin k)) (pow l 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 (/ (+ (* -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 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 (+ (* -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 (+ (* -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 (* -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 (* -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 (* -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) (* 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) (+ (* 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 (+ 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 (+ 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
68.0ms
l
@-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)) (* (* (/ (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) (+ 1 (pow (/ k t) 2)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ (* (/ k t) (/ k t)) 1) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ (* (/ k t) (/ k t)) 1) 1)) (- (+ (* (/ k t) (/ k t)) 1) 1) (+ (* (/ k t) (/ k t)) 1))
15.0ms
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)) (* (* (/ (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) (+ 1 (pow (/ k t) 2)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ (* (/ k t) (/ k t)) 1) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ (* (/ k t) (/ k t)) 1) 1)) (- (+ (* (/ k t) (/ k t)) 1) 1) (+ (* (/ k t) (/ k t)) 1))
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)) (* (* (/ (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) (+ 1 (pow (/ k t) 2)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ (* (/ k t) (/ k t)) 1) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ (* (/ k t) (/ k t)) 1) 1)) (- (+ (* (/ k t) (/ k t)) 1) 1) (+ (* (/ k t) (/ k t)) 1))
12.0ms
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)) (* (* (/ (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) (+ 1 (pow (/ k t) 2)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ (* (/ k t) (/ k t)) 1) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ (* (/ k t) (/ k t)) 1) 1)) (- (+ (* (/ k t) (/ k t)) 1) 1) (+ (* (/ k t) (/ k t)) 1))
9.0ms
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)) (* (* (/ (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) (+ 1 (pow (/ k t) 2)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ (* (/ k t) (/ k t)) 1) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ (* (/ k t) (/ k t)) 1) 1)) (- (+ (* (/ k t) (/ k t)) 1) 1) (+ (* (/ k t) (/ k t)) 1))

rewrite210.0ms (2.5%)

Memory
21.9MiB live, 247.7MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04762979
05452664
128372614
081232529
Stop Event
iter-limit
node-limit
iter-limit
Counts
134 → 643
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) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
(pow.f64 t #s(literal 3 binary64))
#s(literal 3 binary64)
(sin.f64 k)
(tan.f64 k)
(-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64))
#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)) (pow t 2))))
#s(approx (/ k t) #s(hole binary64 (/ k t)))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (/ (* (pow t 3) (sin k)) (pow l 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 (/ (+ (* -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 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 (+ (* -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 (+ (* -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 (* -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 (* -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 (* -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) (* 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) (+ (* 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 (+ 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 (+ 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 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 l l) k))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 l l) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (/.f64 (*.f64 l l) (*.f64 k k)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 k k)) (/.f64 (*.f64 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 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (cos.f64 k) k))
(*.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (/.f64 (cos.f64 k) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 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 (cos.f64 k) (*.f64 k k)))
(*.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))) (/.f64 (cos.f64 k) (*.f64 (*.f64 k k) t)))
(*.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.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 (*.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) k)) (/.f64 #s(literal 2 binary64) k))
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(*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)))
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#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) (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 (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)))
#s(approx (* 1/2 (cos (* 2 k))) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 k k)) #s(literal 1 binary64)) (*.f64 k k) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 k))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 k k) #s(literal 1/3 binary64)) (*.f64 k k)) #s(literal 1 binary64)) (*.f64 k k) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 k)) (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) (* 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))))
#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))))
#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 (/.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 t t) (/.f64 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 t t) (/.f64 t (*.f64 l l))))) (*.f64 k k) (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))) (*.f64 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) (*.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) (*.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 k k) (/.f64 #s(literal 1 binary64) (*.f64 t t)))))
#s(approx (sin k) (sin.f64 k))
#s(approx (tan k) (tan.f64 k))

eval65.0ms (0.8%)

Memory
-14.3MiB live, 133.6MiB allocated; 19ms collecting garbage
Compiler

Compiled 8 425 to 3 197 computations (62.1% saved)

prune44.0ms (0.5%)

Memory
13.0MiB live, 107.2MiB allocated; 4ms collecting garbage
Pruning

37 alts after pruning (37 fresh and 0 done)

PrunedKeptTotal
New64934683
Fresh9312
Picked505
Done000
Total66337700
Accuracy
89.3%
Counts
700 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.4%
(/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 0 binary64)) #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 k (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))))))
33.2%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) l) (/.f64 (sin.f64 k) l)) (tan.f64 k)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
40.5%
(/.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))))
39.4%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (sin.f64 k)) (*.f64 (tan.f64 k) (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 0 binary64)))))
28.5%
(/.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)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
21.4%
(/.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)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
27.8%
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
27.8%
(/.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 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))))
27.7%
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (exp.f64 (*.f64 (log.f64 t) #s(literal 3 binary64))) (*.f64 l l)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
58.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
58.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (*.f64 l l)))))
58.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
46.8%
#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 l k) (*.f64 l k)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
66.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) 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)))
70.6%
#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)))
62.1%
#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) k) t)))
62.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) l) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
66.0%
#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 (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))))
74.0%
#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 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 k k))))
66.0%
#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 (cos.f64 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 k))))
33.8%
#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 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 binary64))) t) (*.f64 k k))))
70.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (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)))
66.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 k k)) t) (*.f64 k k))))
65.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
61.8%
#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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 k k)) #s(literal 2 binary64))) t)))
61.8%
#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 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) (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
72.9%
#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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (cos.f64 k) k)))
66.9%
#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 (cos.f64 k) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))))
61.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 #s(literal 2 binary64) t)))
66.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t))))
72.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 l l) k)))
66.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 k k)) (/.f64 (*.f64 l l) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))))
64.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 l t)))
71.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 l (*.f64 (*.f64 k k) t))))
72.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
66.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t))))
Compiler

Compiled 2 208 to 2 152 computations (2.5% saved)

series230.0ms (2.8%)

Memory
-19.2MiB live, 459.9MiB allocated; 46ms collecting garbage
Counts
52 → 110
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)
(/.f64 #s(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)))))
#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 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (*.f64 l l)))
(*.f64 (*.f64 (*.f64 k k) k) k)
(*.f64 (*.f64 k k) k)
(/.f64 t (*.f64 l l))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.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 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.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 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l))))
(*.f64 (*.f64 k k) (/.f64 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l)))
(/.f64 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l))
(pow.f64 (*.f64 t t) #s(literal 3/2 binary64))
(*.f64 t t)
#s(literal 3/2 binary64)
(-.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))) (*.f64 (/.f64 #s(literal 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 (*.f64 (cos.f64 k) l) l) k)))
(*.f64 (/.f64 #s(literal 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 (*.f64 (cos.f64 k) l) l) k))
(/.f64 #s(literal 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 (-.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)
(/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)
(*.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 (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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (* (* (* k k) k) k) (/ t (* l l))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (/ t (* l l)) #s(hole binary64 (/ t (pow l 2))))
#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) (/ (pow (* t t) 3/2) (* l l))) #s(hole binary64 (/ (* (pow k 2) (pow t 3)) (pow l 2))))
#s(approx (/ (pow (* t t) 3/2) (* l l)) #s(hole binary64 (/ (pow t 3) (pow l 2))))
#s(approx (pow (* t t) 3/2) #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)) (pow t 2))))
#s(approx (/ k t) #s(hole binary64 (/ k t)))
#s(approx (* (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) (/ (* (* (cos k) l) l) k)) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))))
#s(approx (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) #s(hole binary64 (/ 2 (* k (* 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 (+ 1 (pow (/ k t) 2)) #s(hole binary64 1))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (+ 1 (/ (pow k 2) (pow t 2)))))
#s(approx (* (* k k) (/ (pow (* t t) 3/2) (* l l))) #s(hole binary64 (* -1 (/ (* (pow k 2) (pow t 3)) (pow l 2)))))
#s(approx (/ (pow (* t t) 3/2) (* l l)) #s(hole binary64 (* -1 (/ (pow t 3) (pow l 2)))))
#s(approx (pow (* t t) 3/2) #s(hole binary64 (* -1 (pow t 3))))
#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 (* (* k k) (/ (pow (* t t) 3/2) (* l l))) #s(hole binary64 (/ (* (pow k 2) (pow (pow t 2) 3/2)) (pow l 2))))
#s(approx (/ (pow (* t t) 3/2) (* l l)) #s(hole binary64 (/ (pow (pow t 2) 3/2) (pow l 2))))
#s(approx (/ (* (* (cos k) l) l) k) #s(hole binary64 (/ (* (pow l 2) (cos k)) 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 (/ (+ (* -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 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 (+ (* -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 (+ (* -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 (* -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 (* -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 (* -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 (+ 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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (* (* k k) k) k) #s(hole binary64 (pow k 4)))
#s(approx (* (* k k) k) #s(hole binary64 (pow k 3)))
#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 (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) #s(hole binary64 (/ 2 (* (pow k 3) t))))
#s(approx (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) #s(hole binary64 (/ (+ (* 2/3 (/ (pow k 2) t)) (* 2 (/ 1 t))) (pow k 3))))
#s(approx (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* 2/15 (/ (pow k 2) t)) (* 2/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 3))))
#s(approx (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 4/189 (/ (pow k 2) t)) (* 2/15 (/ 1 t)))) (* 2/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 3))))
#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 (* (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 (* -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) l) l) k) #s(hole binary64 (/ (pow l 2) k)))
#s(approx (/ (* (* (cos k) l) l) k) #s(hole binary64 (/ (+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2)) k)))
#s(approx (/ (* (* (cos k) l) l) k) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2)) k)))
#s(approx (/ (* (* (cos k) l) l) k) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (pow l 2)) k)))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* -1/2 (* (pow k 2) l)))))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l)))))))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l))))))))
#s(approx (cos k) #s(hole binary64 (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 (+ 1 (pow (/ k t) 2)) #s(hole binary64 (* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))))
#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 (* (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) (/ (* (* (cos k) l) l) k)) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))))
#s(approx (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) #s(hole binary64 (/ 2 (* k (* 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
55.0ms
l
@0
((/ 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))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (* k k) k) k) (/ t (* l l))) (* (* (* k k) k) k) (* (* k k) k) (/ t (* l l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (* k k) (/ (pow (* t t) 3/2) (* l l))) (/ (pow (* t t) 3/2) (* l l)) (pow (* t t) 3/2) (* t t) 3/2 (- (+ 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))) (* (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) (/ (* (* (cos k) l) l) k)) (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) 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) (/ (* (* (cos k) l) l) k) (* (* (cos k) l) l) (* (cos k) l))
46.0ms
t
@0
((/ 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))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (* k k) k) k) (/ t (* l l))) (* (* (* k k) k) k) (* (* k k) k) (/ t (* l l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (* k k) (/ (pow (* t t) 3/2) (* l l))) (/ (pow (* t t) 3/2) (* l l)) (pow (* t t) 3/2) (* t t) 3/2 (- (+ 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))) (* (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) (/ (* (* (cos k) l) l) k)) (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) 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) (/ (* (* (cos k) l) l) k) (* (* (cos k) l) l) (* (cos k) l))
20.0ms
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))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (* k k) k) k) (/ t (* l l))) (* (* (* k k) k) k) (* (* k k) k) (/ t (* l l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (* k k) (/ (pow (* t t) 3/2) (* l l))) (/ (pow (* t t) 3/2) (* l l)) (pow (* t t) 3/2) (* t t) 3/2 (- (+ 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))) (* (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) (/ (* (* (cos k) l) l) k)) (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) 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) (/ (* (* (cos k) l) l) k) (* (* (cos k) l) l) (* (cos k) l))
20.0ms
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))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (* k k) k) k) (/ t (* l l))) (* (* (* k k) k) k) (* (* k k) k) (/ t (* l l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (* k k) (/ (pow (* t t) 3/2) (* l l))) (/ (pow (* t t) 3/2) (* l l)) (pow (* t t) 3/2) (* t t) 3/2 (- (+ 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))) (* (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) (/ (* (* (cos k) l) l) k)) (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) 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) (/ (* (* (cos k) l) l) k) (* (* (cos k) l) l) (* (cos k) l))
20.0ms
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))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (* k k) k) k) (/ t (* l l))) (* (* (* k k) k) k) (* (* k k) k) (/ t (* l l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (* k k) (/ (pow (* t t) 3/2) (* l l))) (/ (pow (* t t) 3/2) (* l l)) (pow (* t t) 3/2) (* t t) 3/2 (- (+ 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))) (* (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) (/ (* (* (cos k) l) l) k)) (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) 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) (/ (* (* (cos k) l) l) k) (* (* (cos k) l) l) (* (cos k) l))

rewrite177.0ms (2.1%)

Memory
33.8MiB live, 261.4MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05523543
06283183
130853137
081933040
Stop Event
iter-limit
node-limit
iter-limit
Counts
162 → 726
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)
(/.f64 #s(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)))))
#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 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (*.f64 l l)))
(*.f64 (*.f64 (*.f64 k k) k) k)
(*.f64 (*.f64 k k) k)
(/.f64 t (*.f64 l l))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.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 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.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 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l))))
(*.f64 (*.f64 k k) (/.f64 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l)))
(/.f64 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l))
(pow.f64 (*.f64 t t) #s(literal 3/2 binary64))
(*.f64 t t)
#s(literal 3/2 binary64)
(-.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))) (*.f64 (/.f64 #s(literal 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 (*.f64 (cos.f64 k) l) l) k)))
(*.f64 (/.f64 #s(literal 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 (*.f64 (cos.f64 k) l) l) k))
(/.f64 #s(literal 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 (-.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)
(/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)
(*.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 (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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (* (* (* k k) k) k) (/ t (* l l))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (/ t (* l l)) #s(hole binary64 (/ t (pow l 2))))
#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) (/ (pow (* t t) 3/2) (* l l))) #s(hole binary64 (/ (* (pow k 2) (pow t 3)) (pow l 2))))
#s(approx (/ (pow (* t t) 3/2) (* l l)) #s(hole binary64 (/ (pow t 3) (pow l 2))))
#s(approx (pow (* t t) 3/2) #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)) (pow t 2))))
#s(approx (/ k t) #s(hole binary64 (/ k t)))
#s(approx (* (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) (/ (* (* (cos k) l) l) k)) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))))
#s(approx (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) #s(hole binary64 (/ 2 (* k (* 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 (+ 1 (pow (/ k t) 2)) #s(hole binary64 1))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (+ 1 (/ (pow k 2) (pow t 2)))))
#s(approx (* (* k k) (/ (pow (* t t) 3/2) (* l l))) #s(hole binary64 (* -1 (/ (* (pow k 2) (pow t 3)) (pow l 2)))))
#s(approx (/ (pow (* t t) 3/2) (* l l)) #s(hole binary64 (* -1 (/ (pow t 3) (pow l 2)))))
#s(approx (pow (* t t) 3/2) #s(hole binary64 (* -1 (pow t 3))))
#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 (* (* k k) (/ (pow (* t t) 3/2) (* l l))) #s(hole binary64 (/ (* (pow k 2) (pow (pow t 2) 3/2)) (pow l 2))))
#s(approx (/ (pow (* t t) 3/2) (* l l)) #s(hole binary64 (/ (pow (pow t 2) 3/2) (pow l 2))))
#s(approx (/ (* (* (cos k) l) l) k) #s(hole binary64 (/ (* (pow l 2) (cos k)) 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 (/ (+ (* -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 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 (+ (* -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 (+ (* -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 (* -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 (* -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 (* -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 (+ 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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (* (* k k) k) k) #s(hole binary64 (pow k 4)))
#s(approx (* (* k k) k) #s(hole binary64 (pow k 3)))
#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 (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) #s(hole binary64 (/ 2 (* (pow k 3) t))))
#s(approx (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) #s(hole binary64 (/ (+ (* 2/3 (/ (pow k 2) t)) (* 2 (/ 1 t))) (pow k 3))))
#s(approx (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* 2/15 (/ (pow k 2) t)) (* 2/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 3))))
#s(approx (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 4/189 (/ (pow k 2) t)) (* 2/15 (/ 1 t)))) (* 2/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 3))))
#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 (* (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 (* -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) l) l) k) #s(hole binary64 (/ (pow l 2) k)))
#s(approx (/ (* (* (cos k) l) l) k) #s(hole binary64 (/ (+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2)) k)))
#s(approx (/ (* (* (cos k) l) l) k) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2)) k)))
#s(approx (/ (* (* (cos k) l) l) k) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (pow l 2)) k)))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* -1/2 (* (pow k 2) l)))))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l)))))))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l))))))))
#s(approx (cos k) #s(hole binary64 (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 (+ 1 (pow (/ k t) 2)) #s(hole binary64 (* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))))
#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 (* (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) (/ (* (* (cos k) l) l) k)) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))))
#s(approx (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) #s(hole binary64 (/ 2 (* k (* 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 k t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 l l) k))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 l l) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (/.f64 (*.f64 l l) (*.f64 k k)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 k k)) (/.f64 (*.f64 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 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (cos.f64 k) k))
(*.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (/.f64 (cos.f64 k) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 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 (cos.f64 k) (*.f64 k k)))
(*.f64 (/.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) k)) (/.f64 #s(literal 2 binary64) k))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (*.f64 k k) t)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)))
(*.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))) (/.f64 (cos.f64 k) (*.f64 (*.f64 k k) t)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k)) (*.f64 t k)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (*.f64 k k) t)))
(*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)))
(*.f64 (/.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 #s(literal 2 binary64) (*.f64 k k)))
(*.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.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 (*.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 2 binary64) k) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.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 #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) (/.f64 l 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 (cos.f64 k) l) (/.f64 l k)) (/.f64 #s(literal 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 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 (cos.f64 k) l) (/.f64 l 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 (fma.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l 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 (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)))
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#s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (cos k) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 k k) #s(literal 1/24 binary64)) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))
#s(approx 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 (*.f64 k k) 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 (*.f64 k k) 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 (*.f64 k k) k) k)))
#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) (*.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 (* (* (* (/ (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))))
#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 #s(literal 1/6 binary64) (/.f64 t (*.f64 l l)))) (*.f64 k k) (/.f64 t (*.f64 l l))) (*.f64 (*.f64 (*.f64 k k) k) k)))
#s(approx (* (* (* k k) k) k) (*.f64 (*.f64 (*.f64 k k) k) k))
#s(approx (* (* k k) k) (*.f64 (*.f64 k k) k))
#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 (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 k k) k) t)))
#s(approx (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 (*.f64 k k) k)))
#s(approx (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 k k) #s(literal 2/3 binary64)) t) (*.f64 k k) (/.f64 #s(literal 2 binary64) t)) (*.f64 (*.f64 k k) k)))
#s(approx (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 4/189 binary64) (*.f64 k k) #s(literal 2/15 binary64)) t) (*.f64 k k) (/.f64 #s(literal 2/3 binary64) t)) (*.f64 k k) (/.f64 #s(literal 2 binary64) t)) (*.f64 (*.f64 k 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 (* (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)) (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) l) l) k) (/.f64 (*.f64 l l) k))
#s(approx (/ (* (* (cos k) l) l) k) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 k k)) (*.f64 l l) (*.f64 l l)) k))
#s(approx (/ (* (* (cos k) l) l) k) (/.f64 (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)) k))
#s(approx (/ (* (* (cos k) l) l) k) (/.f64 (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)) k))
#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 (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 (+ 1 (pow (/ k t) 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 k k) (/.f64 #s(literal 1 binary64) (*.f64 t 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)))
#s(approx (/ (* 2 (* (cos k) (* l l))) (* (* (pow (sin k) 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 (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) (/.f64 #s(literal 2 binary64) (*.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) 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)))

eval67.0ms (0.8%)

Memory
-2.9MiB live, 146.7MiB allocated; 16ms collecting garbage
Compiler

Compiled 8 076 to 3 354 computations (58.5% saved)

prune64.0ms (0.8%)

Memory
-15.5MiB live, 134.8MiB allocated; 17ms collecting garbage
Pruning

49 alts after pruning (47 fresh and 2 done)

PrunedKeptTotal
New63626662
Fresh112132
Picked325
Done000
Total65049699
Accuracy
94.8%
Counts
699 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.4%
(/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 0 binary64)) #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 k (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))))))
33.2%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) l) (/.f64 (sin.f64 k) l)) (tan.f64 k)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
40.5%
(/.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))))
18.7%
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l)))) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
22.8%
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l)))) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
12.7%
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(approx (* (* k k) (/ (pow (* t t) 3/2) (* l l))) (neg.f64 (*.f64 k (*.f64 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))))
65.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 k k) t) (*.f64 k k)) (*.f64 l l))))
58.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (pow.f64 (*.f64 k k) #s(literal 3/2 binary64)) k) (/.f64 t (*.f64 l l)))))
58.4%
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 k k))) k) k) (/.f64 t (*.f64 l l)))))
58.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
58.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (*.f64 l l)))))
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 k k) k) k) (/.f64 t (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))))))
58.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 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 (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) (/.f64 t (*.f64 l l)))))
46.8%
#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 l k) (*.f64 l k)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
74.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 k k))))
70.6%
#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)))
62.1%
#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) k) t)))
65.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) l) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
81.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)))
66.0%
#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 (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))))
66.0%
#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 (cos.f64 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 k))))
33.8%
#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 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 binary64))) t) (*.f64 k k))))
70.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (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)))
66.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) (*.f64 k k))))
65.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k (*.f64 k t)))))
61.8%
#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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 k k)) #s(literal 2 binary64))) t)))
61.8%
#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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) t)))
65.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 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) (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
72.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) k) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
72.9%
#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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (cos.f64 k) k)))
66.9%
#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 (cos.f64 k) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))))
61.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 #s(literal 2 binary64) t)))
66.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
65.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 (*.f64 k k) t)))))
72.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 l l) k)))
66.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 k k)) (/.f64 (*.f64 l l) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))))
64.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 l t)))
71.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 k k) t)) (/.f64 l (*.f64 k k))))
71.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) k) (/.f64 l (*.f64 k (*.f64 (*.f64 k k) t)))))
81.8%
#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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k)) (*.f64 t k))))
83.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k)) k)))
72.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
58.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) #s(approx (/ (* (* (cos k) l) l) k) (/.f64 (*.f64 l l) k))))
35.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
81.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))))))
65.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) (*.f64 k (*.f64 (*.f64 k k) t)))))
48.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 (*.f64 k k) k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
Compiler

Compiled 2 969 to 2 919 computations (1.7% saved)

series89.0ms (1.1%)

Memory
6.1MiB live, 197.2MiB allocated; 6ms collecting garbage
Counts
45 → 92
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l 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) (/.f64 l 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))
#s(literal 2 binary64)
(*.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
(/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k)) k)
(*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k))
(*.f64 (cos.f64 k) l)
(cos.f64 k)
l
(/.f64 l k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 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)
(/.f64 #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 t (*.f64 l l))))
(*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))
(*.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 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 k k) k) k)
(*.f64 (*.f64 k k) k)
(/.f64 t (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))
(*.f64 (log.f64 l) #s(literal 2 binary64))
(log.f64 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 (cos.f64 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 k))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 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 k)))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 k) (*.f64 l l)))
(*.f64 (cos.f64 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 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 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/ (* (* (cos k) l) (/ l k)) k)) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))))
#s(approx (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) #s(hole binary64 (/ 2 (* 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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (* (* k k) (* k k)) (/ t (* l l))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (/ t (* l l)) #s(hole binary64 (/ t (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 k)) k) #s(hole binary64 (/ (* (pow l 2) (cos k)) (pow k 2))))
#s(approx (* (* (cos k) l) (/ l k)) #s(hole binary64 (/ (* (pow l 2) (cos k)) k)))
#s(approx (* (cos k) l) #s(hole binary64 (* l (cos k))))
#s(approx l #s(hole binary64 l))
#s(approx (/ l k) #s(hole binary64 (/ l k)))
#s(approx (* 2 (* l l)) #s(hole binary64 (* 2 (pow l 2))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx (* (log l) 2) #s(hole binary64 (* 2 (log l))))
#s(approx (log l) #s(hole binary64 (log l)))
#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 (* (log l) 2) #s(hole binary64 (* -2 (log (/ 1 l)))))
#s(approx (log l) #s(hole binary64 (* -1 (log (/ 1 l)))))
#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 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/ (* (* (cos k) l) (/ l 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 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/ (* (* (cos k) l) (/ l 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 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/ (* (* (cos k) l) (/ l 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 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) #s(hole binary64 (/ 2 (* (pow k 2) t))))
#s(approx (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) #s(hole binary64 (/ (+ (* 2/3 (/ (pow k 2) t)) (* 2 (/ 1 t))) (pow k 2))))
#s(approx (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* 2/15 (/ (pow k 2) t)) (* 2/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 2))))
#s(approx (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 4/189 (/ (pow k 2) t)) (* 2/15 (/ 1 t)))) (* 2/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 2))))
#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) l) (/ l k)) k) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (/ (* (* (cos k) l) (/ l k)) k) #s(hole binary64 (/ (+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (* (cos k) l) (/ l k)) k) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (* (cos k) l) (/ l k)) k) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (pow l 2)) (pow k 2))))
#s(approx (* (* (cos k) l) (/ l k)) #s(hole binary64 (/ (pow l 2) k)))
#s(approx (* (* (cos k) l) (/ l k)) #s(hole binary64 (/ (+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2)) k)))
#s(approx (* (* (cos k) l) (/ l k)) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2)) k)))
#s(approx (* (* (cos k) l) (/ l k)) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (pow l 2)) k)))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* -1/2 (* (pow k 2) l)))))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l)))))))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l))))))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* -1/2 (pow k 2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (* k k) (* k k)) #s(hole binary64 (pow k 4)))
#s(approx (* (* k k) k) #s(hole binary64 (pow k 3)))
#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 (+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (pow l 2))))
#s(approx (* (* (- 1/2 (* (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)) #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 (* (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/ (* (* (cos k) l) (/ l 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 (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) #s(hole binary64 (/ 2 (* 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 (* (* (- 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)))))))))
Calls

9 calls:

TimeVariablePointExpression
15.0ms
l
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/ (* (* (cos k) l) (/ l k)) k)) (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) 2 (* (- 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 (/ (* (* (cos k) l) (/ l k)) k) (* (* (cos k) l) (/ l k)) (* (cos k) l) (cos k) l (/ l 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))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* k k) (* k k)) (/ t (* l l))) (* (* k k) (* k k)) (/ t (* l l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (* k k) k) k) (/ t (exp (* (log l) 2)))) (* (* (* k k) k) k) (* (* k k) k) (/ t (exp (* (log l) 2))) (exp (* (log l) 2)) (* (log l) 2) (log l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* (cos k) (* l l))) (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (* k k))) (* 2 (* (cos k) (* l l))) (* (cos k) (* l l)) (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (* k k)))
14.0ms
l
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/ (* (* (cos k) l) (/ l k)) k)) (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) 2 (* (- 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 (/ (* (* (cos k) l) (/ l k)) k) (* (* (cos k) l) (/ l k)) (* (cos k) l) (cos k) l (/ l 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))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* k k) (* k k)) (/ t (* l l))) (* (* k k) (* k k)) (/ t (* l l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (* k k) k) k) (/ t (exp (* (log l) 2)))) (* (* (* k k) k) k) (* (* k k) k) (/ t (exp (* (log l) 2))) (exp (* (log l) 2)) (* (log l) 2) (log l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* (cos k) (* l l))) (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (* k k))) (* 2 (* (cos k) (* l l))) (* (cos k) (* l l)) (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (* k k)))
14.0ms
l
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/ (* (* (cos k) l) (/ l k)) k)) (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) 2 (* (- 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 (/ (* (* (cos k) l) (/ l k)) k) (* (* (cos k) l) (/ l k)) (* (cos k) l) (cos k) l (/ l 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))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* k k) (* k k)) (/ t (* l l))) (* (* k k) (* k k)) (/ t (* l l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (* k k) k) k) (/ t (exp (* (log l) 2)))) (* (* (* k k) k) k) (* (* k k) k) (/ t (exp (* (log l) 2))) (exp (* (log l) 2)) (* (log l) 2) (log l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* (cos k) (* l l))) (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (* k k))) (* 2 (* (cos k) (* l l))) (* (cos k) (* l l)) (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (* k k)))
8.0ms
k
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/ (* (* (cos k) l) (/ l k)) k)) (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) 2 (* (- 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 (/ (* (* (cos k) l) (/ l k)) k) (* (* (cos k) l) (/ l k)) (* (cos k) l) (cos k) l (/ l 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))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* k k) (* k k)) (/ t (* l l))) (* (* k k) (* k k)) (/ t (* l l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (* k k) k) k) (/ t (exp (* (log l) 2)))) (* (* (* k k) k) k) (* (* k k) k) (/ t (exp (* (log l) 2))) (exp (* (log l) 2)) (* (log l) 2) (log l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* (cos k) (* l l))) (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (* k k))) (* 2 (* (cos k) (* l l))) (* (cos k) (* l l)) (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (* k k)))
8.0ms
t
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/ (* (* (cos k) l) (/ l k)) k)) (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) 2 (* (- 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 (/ (* (* (cos k) l) (/ l k)) k) (* (* (cos k) l) (/ l k)) (* (cos k) l) (cos k) l (/ l 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))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* k k) (* k k)) (/ t (* l l))) (* (* k k) (* k k)) (/ t (* l l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (* k k) k) k) (/ t (exp (* (log l) 2)))) (* (* (* k k) k) k) (* (* k k) k) (/ t (exp (* (log l) 2))) (exp (* (log l) 2)) (* (log l) 2) (log l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (* (cos k) (* l l))) (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (* k k))) (* 2 (* (cos k) (* l l))) (* (cos k) (* l l)) (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (* k k)))

rewrite213.0ms (2.6%)

Memory
5.5MiB live, 240.5MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04753098
05372700
126162680
093532593
Stop Event
iter-limit
node-limit
iter-limit
Counts
137 → 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 (-.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) (/.f64 l 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) (/.f64 l 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))
#s(literal 2 binary64)
(*.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
(/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k)) k)
(*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k))
(*.f64 (cos.f64 k) l)
(cos.f64 k)
l
(/.f64 l k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 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)
(/.f64 #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 t (*.f64 l l))))
(*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))
(*.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 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 k k) k) k)
(*.f64 (*.f64 k k) k)
(/.f64 t (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))
(*.f64 (log.f64 l) #s(literal 2 binary64))
(log.f64 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 (cos.f64 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 k))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 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 k)))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 k) (*.f64 l l)))
(*.f64 (cos.f64 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 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 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/ (* (* (cos k) l) (/ l k)) k)) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))))
#s(approx (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) #s(hole binary64 (/ 2 (* 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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (* (* k k) (* k k)) (/ t (* l l))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (/ t (* l l)) #s(hole binary64 (/ t (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 k)) k) #s(hole binary64 (/ (* (pow l 2) (cos k)) (pow k 2))))
#s(approx (* (* (cos k) l) (/ l k)) #s(hole binary64 (/ (* (pow l 2) (cos k)) k)))
#s(approx (* (cos k) l) #s(hole binary64 (* l (cos k))))
#s(approx l #s(hole binary64 l))
#s(approx (/ l k) #s(hole binary64 (/ l k)))
#s(approx (* 2 (* l l)) #s(hole binary64 (* 2 (pow l 2))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx (* (log l) 2) #s(hole binary64 (* 2 (log l))))
#s(approx (log l) #s(hole binary64 (log l)))
#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 (* (log l) 2) #s(hole binary64 (* -2 (log (/ 1 l)))))
#s(approx (log l) #s(hole binary64 (* -1 (log (/ 1 l)))))
#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 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/ (* (* (cos k) l) (/ l 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 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/ (* (* (cos k) l) (/ l 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 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/ (* (* (cos k) l) (/ l 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 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) #s(hole binary64 (/ 2 (* (pow k 2) t))))
#s(approx (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) #s(hole binary64 (/ (+ (* 2/3 (/ (pow k 2) t)) (* 2 (/ 1 t))) (pow k 2))))
#s(approx (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* 2/15 (/ (pow k 2) t)) (* 2/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 2))))
#s(approx (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 4/189 (/ (pow k 2) t)) (* 2/15 (/ 1 t)))) (* 2/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 2))))
#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) l) (/ l k)) k) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (/ (* (* (cos k) l) (/ l k)) k) #s(hole binary64 (/ (+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (* (cos k) l) (/ l k)) k) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (* (cos k) l) (/ l k)) k) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (pow l 2)) (pow k 2))))
#s(approx (* (* (cos k) l) (/ l k)) #s(hole binary64 (/ (pow l 2) k)))
#s(approx (* (* (cos k) l) (/ l k)) #s(hole binary64 (/ (+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2)) k)))
#s(approx (* (* (cos k) l) (/ l k)) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2)) k)))
#s(approx (* (* (cos k) l) (/ l k)) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (pow l 2)) k)))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* -1/2 (* (pow k 2) l)))))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l)))))))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l))))))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* -1/2 (pow k 2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (* k k) (* k k)) #s(hole binary64 (pow k 4)))
#s(approx (* (* k k) k) #s(hole binary64 (pow k 3)))
#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 (+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (pow l 2))))
#s(approx (* (* (- 1/2 (* (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)) #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 (* (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/ (* (* (cos k) l) (/ l 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 (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) #s(hole binary64 (/ 2 (* 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 (* (* (- 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)))))))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l)) #s(literal 2 binary64)) (*.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 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 (/.f64 l k) k)) t))
(*.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 (/.f64 l k) k)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 (/.f64 l 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 2 binary64) (*.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) (/.f64 (/.f64 l k) k)))
(/.f64 (*.f64 (neg.f64 (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))))) (*.f64 (neg.f64 k) t))
(/.f64 (*.f64 (neg.f64 (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l))) (/.f64 #s(literal 2 binary64) t)) (*.f64 (neg.f64 k) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (neg.f64 (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l))) #s(literal -2 binary64)) (*.f64 (neg.f64 k) (neg.f64 (*.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 l k) (*.f64 (cos.f64 k) l))) #s(literal 2 binary64)) (*.f64 (neg.f64 k) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)))
(/.f64 (*.f64 (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))))) (*.f64 k t))
(/.f64 (*.f64 (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l)) (/.f64 #s(literal 2 binary64) t)) (*.f64 k (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l)) #s(literal -2 binary64)) (*.f64 k (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))))
(/.f64 (*.f64 (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l)) #s(literal 2 binary64)) (*.f64 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 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l)))) (*.f64 t (neg.f64 k)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l))) (*.f64 t k))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) t) (neg.f64 (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) (neg.f64 k)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) t) (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) k))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l)))) (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (neg.f64 k)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l))) (*.f64 (neg.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 2 binary64) (neg.f64 (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l)))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) (neg.f64 k)))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.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 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 k) l) (/.f64 (/.f64 l k) k)))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l)))) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.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 (cos.f64 k) l) (/.f64 (/.f64 l 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 2 binary64) (*.f64 (/.f64 l k) (*.f64 (cos.f64 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 (/.f64 #s(literal 1 binary64) t) (sin.f64 k)) (/.f64 #s(literal 2 binary64) (sin.f64 k)))
(*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 k)) (/.f64 (/.f64 #s(literal 1 binary64) t) (sin.f64 k)))
(*.f64 (/.f64 #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) t))
(*.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))))) (neg.f64 t))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) t)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))) t)
(/.f64 (/.f64 #s(literal 2 binary64) t) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))))
(/.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 #s(literal 1 binary64) t) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (/.f64 #s(literal 1 binary64) (*.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 #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 (neg.f64 (sin.f64 k)) (neg.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))
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#s(approx (* (* k k) t) (*.f64 (*.f64 k k) t))
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#s(approx (* (cos k) l) (*.f64 (cos.f64 k) l))
#s(approx l l)
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#s(approx (* (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/ (* (* (cos k) l) (/ l 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 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/ (* (* (cos k) l) (/ l 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 #s(literal 2/45 binary64) (/.f64 (*.f64 l l) t) (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal -1/3 binary64)))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (* (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/ (* (* (cos k) l) (/ l 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 #s(literal 2/45 binary64) (/.f64 (*.f64 l l) t) (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal -1/3 binary64)))) #s(literal -1/3 binary64) (fma.f64 #s(literal -1/315 binary64) (/.f64 (*.f64 l l) t) (*.f64 #s(literal 2/45 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)))))) (*.f64 k k) (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 l l) t)) (fma.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 l l) t) (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal -1/3 binary64)))))) (*.f64 (*.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 (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 k k)))
#s(approx (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 k k) #s(literal 2/3 binary64)) t) (*.f64 k k) (/.f64 #s(literal 2 binary64) t)) (*.f64 k k)))
#s(approx (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 4/189 binary64) (*.f64 k k) #s(literal 2/15 binary64)) t) (*.f64 k k) (/.f64 #s(literal 2/3 binary64) t)) (*.f64 k k) (/.f64 #s(literal 2 binary64) t)) (*.f64 k k)))
#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) t) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 k k)))
#s(approx (* (- 1/2 (* (cos (+ k k)) 1/2)) 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 (* (- 1/2 (* (cos (+ k k)) 1/2)) 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 (- 1/2 (* (cos (+ k k)) 1/2)) (*.f64 k k))
#s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (*.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 k k)
#s(approx (/ (* (* (cos k) l) (/ l k)) k) (/.f64 (*.f64 l l) (*.f64 k k)))
#s(approx (/ (* (* (cos k) l) (/ l k)) k) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 k k)) (*.f64 l l) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ (* (* (cos k) l) (/ l k)) k) (/.f64 (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)) (*.f64 k k)))
#s(approx (/ (* (* (cos k) l) (/ l k)) k) (/.f64 (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)) (*.f64 k k)))
#s(approx (* (* (cos k) l) (/ l k)) (/.f64 (*.f64 l l) k))
#s(approx (* (* (cos k) l) (/ l k)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 k k)) (*.f64 l l) (*.f64 l l)) k))
#s(approx (* (* (cos k) l) (/ l k)) (/.f64 (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)) k))
#s(approx (* (* (cos k) l) (/ l k)) (/.f64 (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)) k))
#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 (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (cos k) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 k k) #s(literal 1/24 binary64)) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (* (* (* (/ (pow 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 #s(literal 1/6 binary64) (/.f64 t (*.f64 l l)))) (*.f64 k k) (/.f64 t (*.f64 l l))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (* (* k k) (* k k)) (*.f64 (*.f64 k k) (*.f64 k k)))
#s(approx (* (* k k) k) (*.f64 (*.f64 k k) k))
#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)) (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 (* (* (- 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 (- 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 (* (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/ (* (* (cos k) l) (/ l 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 (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 #s(literal 2 binary64) (*.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)) 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 (* (* (- 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))

eval81.0ms (1%)

Memory
23.2MiB live, 96.9MiB allocated; 19ms collecting garbage
Compiler

Compiled 6 849 to 2 601 computations (62% saved)

prune208.0ms (2.5%)

Memory
-21.3MiB live, 217.1MiB allocated; 130ms collecting garbage
Pruning

59 alts after pruning (56 fresh and 3 done)

PrunedKeptTotal
New52526551
Fresh123042
Picked415
Done022
Total54159600
Accuracy
98.1%
Counts
600 → 59
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.4%
(/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 0 binary64)) #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 k (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))))))
18.7%
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l)))) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
22.8%
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l)))) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
12.7%
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(approx (* (* k k) (/ (pow (* t t) 3/2) (* l l))) (neg.f64 (*.f64 k (*.f64 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))))
65.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 k k) t) (*.f64 k k)) (*.f64 l l))))
58.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (pow.f64 (*.f64 k k) #s(literal 3/2 binary64)) k) (/.f64 t (*.f64 l l)))))
58.4%
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 k k))) k) k) (/.f64 t (*.f64 l l)))))
58.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)))))
58.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (*.f64 l l)))))
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 k k) k) k) (/.f64 t (exp.f64 (log.f64 (*.f64 l l)))))))
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 k k) (*.f64 k k)) (/.f64 t (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 l))))))
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 k k) (*.f64 k k)) (/.f64 t (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))))))
61.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (*.f64 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 (exp.f64 (*.f64 (log.f64 (*.f64 k k)) #s(literal 2 binary64))) (/.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 (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) (/.f64 t (*.f64 l l)))))
46.8%
#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 l k) (*.f64 l k)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
81.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l))) (*.f64 t k)))
80.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) t) (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) k)))
81.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l)) #s(literal 2 binary64)) (*.f64 k (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))))
74.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 k k))))
66.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 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))))
70.6%
#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)))
62.1%
#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) k) t)))
65.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) l) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
64.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 l))) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
83.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 k) l) (/.f64 (/.f64 l k) k))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)))
66.0%
#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 (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))))
33.8%
#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 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) (*.f64 k k))))
70.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (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)))
66.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) (*.f64 k k))))
61.8%
#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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 k k)) #s(literal 2 binary64))) t)))
61.8%
#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 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) t)))
64.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 (*.f64 (*.f64 k k) k) t))))
65.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 k (*.f64 k t))))))
64.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
72.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) k) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
72.9%
#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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (cos.f64 k) k)))
66.9%
#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 (cos.f64 k) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))))
65.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) t) k)) (/.f64 #s(literal 2 binary64) k)))
61.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 #s(literal 2 binary64) t)))
65.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 k k) t) k))))
72.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 l l) k)))
66.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 k k)) (/.f64 (*.f64 l l) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))))
71.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) t) k)) (/.f64 l k)))
64.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 l t)))
71.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 k k) t)) (/.f64 l (*.f64 k k))))
92.3%
#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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k)) k)))
83.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k)) k)))
46.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (/.f64 (*.f64 (*.f64 #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64))) l) (/.f64 l k)) k)))
83.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l (/.f64 l k))) k)))
59.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (/.f64 #s(approx (* (* (cos k) l) (/ l k)) (/.f64 (*.f64 l l) k)) k)))
58.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) #s(approx (/ (* (* (cos k) l) (/ l k)) k) (/.f64 (*.f64 l l) (*.f64 k k)))))
72.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
58.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) #s(approx (/ (* (* (cos k) l) l) k) (/.f64 (*.f64 l l) k))))
35.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
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 #s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (*.f64 k k)) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k)) k)))
93.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (sin.f64 k)) (/.f64 #s(literal 2 binary64) (sin.f64 k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k)) k)))
55.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k)) k)))
48.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 (*.f64 k k) k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
Compiler

Compiled 2 991 to 2 394 computations (20% saved)

regimes165.0ms (2%)

Memory
42.7MiB live, 324.2MiB allocated; 38ms collecting garbage
Counts
104 → 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 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 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 k (*.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 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 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) t) k)) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 #s(literal 2 binary64) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) t) k)) (/.f64 #s(literal 2 binary64) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #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 (/.f64 (*.f64 #s(literal 2 binary64) l) k) (/.f64 l (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 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 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 k k) t)) (/.f64 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 l l) k) (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 k k) t) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (*.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 k k) t) (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 k k))) k) k) (/.f64 t (*.f64 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 (exp.f64 (*.f64 (log.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 (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) (/.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 (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)))))
#s(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)))
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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)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) l) (/.f64 (sin.f64 k) l)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (sin.f64 k)) (/.f64 #s(literal 2 binary64) (sin.f64 k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k)) k)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.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))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (sin.f64 k)) (/.f64 #s(literal 2 binary64) (sin.f64 k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l 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 (cos.f64 k) l) (/.f64 (/.f64 l k) k))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)))
Calls

6 calls:

36.0ms
l
33.0ms
k
24.0ms
t
23.0ms
(/.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))))
22.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
95.0%2(*.f64 l l)
93.3%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)))
93.3%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))))
93.3%1t
95.4%2l
93.3%1k
Compiler

Compiled 45 to 50 computations (-11.1% saved)

regimes171.0ms (2.1%)

Memory
-23.3MiB live, 304.3MiB allocated; 46ms collecting garbage
Counts
101 → 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 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 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 k (*.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 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 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) t) k)) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 #s(literal 2 binary64) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) t) k)) (/.f64 #s(literal 2 binary64) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #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 (/.f64 (*.f64 #s(literal 2 binary64) l) k) (/.f64 l (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 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 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 k k) t)) (/.f64 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 l l) k) (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 k k) t) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (*.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 k k) t) (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 k k))) k) k) (/.f64 t (*.f64 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 (exp.f64 (*.f64 (log.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 (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) (/.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 (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)))))
#s(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 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (pow.f64 (*.f64 k k) #s(literal 3/2 binary64)) 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 (exp.f64 (*.f64 (log.f64 (*.f64 k k)) #s(literal 2 binary64))) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l k) (*.f64 l k)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 0 binary64)) #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 k (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 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) (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))) (*.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) (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (exp.f64 (log.f64 (*.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 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l)))) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 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 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l)))) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t 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))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 l))) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(approx (* (* k k) (/ (pow (* t t) 3/2) (* l l))) (neg.f64 (*.f64 k (*.f64 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) #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 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 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 (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))))
#s(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 (* (cos (+ k k)) 1/2) #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 #s(literal 2 binary64) (*.f64 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.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 #s(approx (pow (sin k) 2) (*.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 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (*.f64 k k)) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l 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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) #s(approx (/ (* (* (cos k) l) l) k) (/.f64 (*.f64 l l) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) #s(approx (/ (* (* (cos k) l) (/ l k)) k) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (/.f64 #s(approx (* (* (cos k) l) (/ l k)) (/.f64 (*.f64 l l) k)) k)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.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 k k) (/.f64 (exp.f64 (*.f64 (log.f64 t) #s(literal 3 binary64))) (*.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 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 (*.f64 k k) k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l 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 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal -1 binary64))) #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 #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 #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64))) l) (/.f64 l 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)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.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))))
#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 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 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))))
#s(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 (-.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 #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 #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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 k k)) (/.f64 (*.f64 l l) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.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))))
#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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (cos.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 (cos.f64 k) l) (/.f64 l k))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l)) #s(literal 2 binary64)) (*.f64 k (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.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 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 l l) k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (-.f64 #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)) #s(approx (sin k) k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #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 (cos.f64 k) (*.f64 l (/.f64 l 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) (/.f64 l 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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k)) (*.f64 t k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) k) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 k) l) (/.f64 (/.f64 l k) k))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) t) (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l))) (*.f64 t k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (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 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.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 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k)) k)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (sin.f64 k)) (*.f64 (tan.f64 k) (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 0 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #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 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) l) (/.f64 (sin.f64 k) l)) (tan.f64 k)) (-.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) (*.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 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) l) (/.f64 (sin.f64 k) l)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l 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 (cos.f64 k) l) (/.f64 (/.f64 l k) k))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)))
Calls

6 calls:

40.0ms
k
28.0ms
(/.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))))
25.0ms
t
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)))
24.0ms
l
Results
AccuracySegmentsBranch
92.3%1k
92.3%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)))
92.3%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))))
92.3%1t
94.0%2(*.f64 l l)
94.4%2l
Compiler

Compiled 45 to 50 computations (-11.1% saved)

regimes219.0ms (2.7%)

Memory
29.2MiB live, 318.2MiB allocated; 140ms collecting garbage
Counts
91 → 3
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 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 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 k (*.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 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 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) t) k)) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 #s(literal 2 binary64) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) t) k)) (/.f64 #s(literal 2 binary64) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #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 (/.f64 (*.f64 #s(literal 2 binary64) l) k) (/.f64 l (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 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 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 k k) t)) (/.f64 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 l l) k) (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 (*.f64 k k) t)))))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) t) (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l))) (*.f64 t k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (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 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 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 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 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 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 k) l) (/.f64 (/.f64 l k) k))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 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 (*.f64 (cos.f64 k) l) (/.f64 l k))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)))
Calls

6 calls:

108.0ms
k
27.0ms
t
23.0ms
l
20.0ms
(*.f64 l l)
18.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
83.4%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
83.4%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
87.8%3t
95.1%3k
92.7%3(*.f64 l l)
94.5%4l
Compiler

Compiled 45 to 50 computations (-11.1% saved)

regimes27.0ms (0.3%)

Memory
-42.4MiB live, 63.1MiB allocated; 3ms collecting garbage
Counts
85 → 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 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 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 k (*.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 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 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) t) k)) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 #s(literal 2 binary64) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) t) k)) (/.f64 #s(literal 2 binary64) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #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 (/.f64 (*.f64 #s(literal 2 binary64) l) k) (/.f64 l (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 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 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 k k) t)) (/.f64 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 l l) k) (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 k k) t) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (*.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 k k) t) (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 k k))) k) k) (/.f64 t (*.f64 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 (exp.f64 (*.f64 (log.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 (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) (/.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 (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)))))
#s(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 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (pow.f64 (*.f64 k k) #s(literal 3/2 binary64)) 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 (exp.f64 (*.f64 (log.f64 (*.f64 k k)) #s(literal 2 binary64))) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l k) (*.f64 l k)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 0 binary64)) #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 k (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 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) (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))) (*.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) (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (exp.f64 (log.f64 (*.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 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l)))) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 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 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l)))) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t 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))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 l))) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(approx (* (* k k) (/ (pow (* t t) 3/2) (* l l))) (neg.f64 (*.f64 k (*.f64 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) #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 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 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 (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))))
#s(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 (* (cos (+ k k)) 1/2) #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 #s(literal 2 binary64) (*.f64 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.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 #s(approx (pow (sin k) 2) (*.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 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (*.f64 k k)) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l 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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) #s(approx (/ (* (* (cos k) l) l) k) (/.f64 (*.f64 l l) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) #s(approx (/ (* (* (cos k) l) (/ l k)) k) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (/.f64 #s(approx (* (* (cos k) l) (/ l k)) (/.f64 (*.f64 l l) k)) k)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.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 k k) (/.f64 (exp.f64 (*.f64 (log.f64 t) #s(literal 3 binary64))) (*.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 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 (*.f64 k k) k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l 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 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal -1 binary64))) #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 #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 #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64))) l) (/.f64 l 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)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.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))))
#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 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 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))))
#s(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 (-.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 #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 #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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 k k)) (/.f64 (*.f64 l l) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.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))))
#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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (cos.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 (cos.f64 k) l) (/.f64 l k))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l)) #s(literal 2 binary64)) (*.f64 k (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.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 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 l l) k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (-.f64 #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)) #s(approx (sin k) k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #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 (cos.f64 k) (*.f64 l (/.f64 l 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) (/.f64 l 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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k)) (*.f64 t k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) k) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 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 (/.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) (/.f64 l k)) k)))
Calls

1 calls:

23.0ms
k
Results
AccuracySegmentsBranch
92.6%2k
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes25.0ms (0.3%)

Memory
23.8MiB live, 69.4MiB allocated; 2ms collecting garbage
Counts
82 → 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 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 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 k (*.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 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 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) t) k)) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 #s(literal 2 binary64) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) t) k)) (/.f64 #s(literal 2 binary64) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #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 (/.f64 (*.f64 #s(literal 2 binary64) l) k) (/.f64 l (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 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 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 k k) t)) (/.f64 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 l l) k) (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 k k) t) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (*.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 k k) t) (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 k k))) k) k) (/.f64 t (*.f64 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 (exp.f64 (*.f64 (log.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 (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) (/.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 (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)))))
#s(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 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (pow.f64 (*.f64 k k) #s(literal 3/2 binary64)) 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 (exp.f64 (*.f64 (log.f64 (*.f64 k k)) #s(literal 2 binary64))) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l k) (*.f64 l k)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 0 binary64)) #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 k (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 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) (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))) (*.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) (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (exp.f64 (log.f64 (*.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 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l)))) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 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 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l)))) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t 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))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 l))) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(approx (* (* k k) (/ (pow (* t t) 3/2) (* l l))) (neg.f64 (*.f64 k (*.f64 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) #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 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 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 (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))))
#s(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 (* (cos (+ k k)) 1/2) #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 #s(literal 2 binary64) (*.f64 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.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 #s(approx (pow (sin k) 2) (*.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 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (*.f64 k k)) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l 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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) #s(approx (/ (* (* (cos k) l) l) k) (/.f64 (*.f64 l l) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) #s(approx (/ (* (* (cos k) l) (/ l k)) k) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (/.f64 #s(approx (* (* (cos k) l) (/ l k)) (/.f64 (*.f64 l l) k)) k)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.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 k k) (/.f64 (exp.f64 (*.f64 (log.f64 t) #s(literal 3 binary64))) (*.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 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 (*.f64 k k) k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l 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 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal -1 binary64))) #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 #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 #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64))) l) (/.f64 l 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)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.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))))
#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 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 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))))
#s(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 (-.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 #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 #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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 k k)) (/.f64 (*.f64 l l) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.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))))
#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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (cos.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 (cos.f64 k) l) (/.f64 l k))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l)) #s(literal 2 binary64)) (*.f64 k (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.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 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 l l) k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (-.f64 #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)) #s(approx (sin k) k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #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 (cos.f64 k) (*.f64 l (/.f64 l k))) k)))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 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 (/.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 (cos.f64 k) (*.f64 l (/.f64 l k))) k)))
Calls

1 calls:

21.0ms
k
Results
AccuracySegmentsBranch
92.6%2k
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes48.0ms (0.6%)

Memory
-24.6MiB live, 120.4MiB allocated; 7ms 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 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 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 k (*.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 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 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) t) k)) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 #s(literal 2 binary64) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) t) k)) (/.f64 #s(literal 2 binary64) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #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 (/.f64 (*.f64 #s(literal 2 binary64) l) k) (/.f64 l (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 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 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 k k) t)) (/.f64 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 l l) k) (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 k k) t) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (*.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 k k) t) (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 k k))) k) k) (/.f64 t (*.f64 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 (exp.f64 (*.f64 (log.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 (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) (/.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 (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)))))
#s(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 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (pow.f64 (*.f64 k k) #s(literal 3/2 binary64)) 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 (exp.f64 (*.f64 (log.f64 (*.f64 k k)) #s(literal 2 binary64))) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l k) (*.f64 l k)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 0 binary64)) #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 k (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 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) (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))) (*.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) (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (exp.f64 (log.f64 (*.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 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l)))) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 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 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l)))) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t 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))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 l))) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(approx (* (* k k) (/ (pow (* t t) 3/2) (* l l))) (neg.f64 (*.f64 k (*.f64 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) #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 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 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 (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))))
#s(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 (* (cos (+ k k)) 1/2) #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 #s(literal 2 binary64) (*.f64 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.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 #s(approx (pow (sin k) 2) (*.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 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (*.f64 k k)) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l 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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) #s(approx (/ (* (* (cos k) l) l) k) (/.f64 (*.f64 l l) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) #s(approx (/ (* (* (cos k) l) (/ l k)) k) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (/.f64 #s(approx (* (* (cos k) l) (/ l k)) (/.f64 (*.f64 l l) k)) k)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.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 k k) (/.f64 (exp.f64 (*.f64 (log.f64 t) #s(literal 3 binary64))) (*.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 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 (*.f64 k k) k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l 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 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal -1 binary64))) #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 #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 #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64))) l) (/.f64 l 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)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.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))))
#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 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 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))))
#s(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 (-.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 #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 #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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 k k)) (/.f64 (*.f64 l l) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.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))))
#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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (cos.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 (cos.f64 k) l) (/.f64 l k))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 l k) (*.f64 (cos.f64 k) l)) #s(literal 2 binary64)) (*.f64 k (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.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 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 l l) k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (-.f64 #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)) #s(approx (sin k) k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 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 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)))
Calls

2 calls:

22.0ms
l
21.0ms
k
Results
AccuracySegmentsBranch
88.0%2l
91.3%2k
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes60.0ms (0.7%)

Memory
0.8MiB live, 148.1MiB allocated; 6ms collecting garbage
Counts
75 → 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 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 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 k (*.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 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 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 l t)))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t))))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 k k) t) k))))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) t)))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 k k)) #s(literal 2 binary64))) t)))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l k) (*.f64 l k)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
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(/.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))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 l))) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(approx (* (* k k) (/ (pow (* t t) 3/2) (* l l))) (neg.f64 (*.f64 k (*.f64 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) #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 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 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 (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))))
#s(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 (* (cos (+ k k)) 1/2) #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 #s(literal 2 binary64) (*.f64 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.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 #s(approx (pow (sin k) 2) (*.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 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (*.f64 k k)) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l 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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) #s(approx (/ (* (* (cos k) l) l) k) (/.f64 (*.f64 l l) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) #s(approx (/ (* (* (cos k) l) (/ l k)) k) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (/.f64 #s(approx (* (* (cos k) l) (/ l k)) (/.f64 (*.f64 l l) k)) k)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.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 k k) (/.f64 (exp.f64 (*.f64 (log.f64 t) #s(literal 3 binary64))) (*.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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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 (*.f64 k k) k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k)) k)))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #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 #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64))) l) (/.f64 l k)) k)))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.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 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 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))))
#s(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 (-.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 #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 #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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 k k)) (/.f64 (*.f64 l l) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.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))))
#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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (cos.f64 k) k)))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 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 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (cos.f64 k) k)))
Calls

3 calls:

20.0ms
k
19.0ms
l
17.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
83.2%2l
83.2%2(*.f64 l l)
87.1%2k
Compiler

Compiled 4 to 10 computations (-150% saved)

regimes23.0ms (0.3%)

Memory
12.5MiB live, 58.4MiB allocated; 2ms collecting garbage
Counts
74 → 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 k (*.f64 k t))))))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 k k)) (/.f64 (*.f64 l l) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.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))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 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 (/.f64 #s(literal 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 (*.f64 (cos.f64 k) l) l) k)))
Calls

1 calls:

19.0ms
k
Results
AccuracySegmentsBranch
86.4%2k
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes66.0ms (0.8%)

Memory
-5.5MiB live, 85.3MiB allocated; 4ms collecting garbage
Counts
71 → 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 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 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 k (*.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 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 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) t) k)) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 #s(literal 2 binary64) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) t) k)) (/.f64 #s(literal 2 binary64) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #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 (/.f64 (*.f64 #s(literal 2 binary64) l) k) (/.f64 l (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 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 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 k k) t)) (/.f64 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 l l) k) (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 k k) t) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (*.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 k k) t) (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 k k))) k) k) (/.f64 t (*.f64 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 (exp.f64 (*.f64 (log.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 (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) (/.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 (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)))))
#s(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 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (pow.f64 (*.f64 k k) #s(literal 3/2 binary64)) 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 (exp.f64 (*.f64 (log.f64 (*.f64 k k)) #s(literal 2 binary64))) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l k) (*.f64 l k)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 0 binary64)) #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 k (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 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) (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))) (*.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) (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (exp.f64 (log.f64 (*.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 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l)))) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 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 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l)))) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t 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))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 l))) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(approx (* (* k k) (/ (pow (* t t) 3/2) (* l l))) (neg.f64 (*.f64 k (*.f64 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) #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 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 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 (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))))
#s(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 (* (cos (+ k k)) 1/2) #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 #s(literal 2 binary64) (*.f64 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.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 #s(approx (pow (sin k) 2) (*.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 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (*.f64 k k)) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l 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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) #s(approx (/ (* (* (cos k) l) l) k) (/.f64 (*.f64 l l) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) #s(approx (/ (* (* (cos k) l) (/ l k)) k) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (/.f64 #s(approx (* (* (cos k) l) (/ l k)) (/.f64 (*.f64 l l) k)) k)))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 (*.f64 k k) k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l 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 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal -1 binary64))) #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 #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 #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64))) l) (/.f64 l k)) k)))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.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 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 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))))
#s(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 (-.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 #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 #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))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 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 (*.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:

20.0ms
k
17.0ms
t
13.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
12.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
73.2%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
73.2%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
79.8%2t
84.8%2k
Compiler

Compiled 42 to 43 computations (-2.4% saved)

regimes61.0ms (0.7%)

Memory
29.4MiB live, 29.4MiB allocated; 0ms collecting garbage
Counts
65 → 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 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 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 k (*.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 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 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) t) k)) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 #s(literal 2 binary64) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) t) k)) (/.f64 #s(literal 2 binary64) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #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 (/.f64 (*.f64 #s(literal 2 binary64) l) k) (/.f64 l (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 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 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 k k) t)) (/.f64 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 l l) k) (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 k k) t) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (*.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 k k) t) (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 k k))) k) k) (/.f64 t (*.f64 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 (exp.f64 (*.f64 (log.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 (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) (/.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 (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)))))
#s(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 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (pow.f64 (*.f64 k k) #s(literal 3/2 binary64)) 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 (exp.f64 (*.f64 (log.f64 (*.f64 k k)) #s(literal 2 binary64))) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l k) (*.f64 l k)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 0 binary64)) #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 k (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 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) (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))) (*.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) (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (exp.f64 (log.f64 (*.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 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l)))) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 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 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l)))) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t 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))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 l))) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(approx (* (* k k) (/ (pow (* t t) 3/2) (* l l))) (neg.f64 (*.f64 k (*.f64 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) #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 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 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 (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))))
#s(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 (* (cos (+ k k)) 1/2) #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 #s(literal 2 binary64) (*.f64 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.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 #s(approx (pow (sin k) 2) (*.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 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (*.f64 k k)) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l 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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t) k)) #s(approx (/ (* (* (cos k) l) l) k) (/.f64 (*.f64 l l) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) #s(approx (/ (* (* (cos k) l) (/ l k)) k) (/.f64 (*.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) t)) (/.f64 #s(approx (* (* (cos k) l) (/ l k)) (/.f64 (*.f64 l l) k)) k)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.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 k k) (/.f64 (exp.f64 (*.f64 (log.f64 t) #s(literal 3 binary64))) (*.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 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 l l))) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ 2 (* (* (- 1/2 (* (cos (+ k k)) 1/2)) t) k)) (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 (*.f64 k k) k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ 2 (* (- 1/2 (* (cos (+ k k)) 1/2)) t)) (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 k k))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l 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 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal -1 binary64))) #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 #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 #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64))) l) (/.f64 l 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)) (-.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.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))))
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 #s(approx (- 1/2 (* (cos (+ k k)) 1/2)) (*.f64 k k)) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l 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 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
Calls

4 calls:

15.0ms
k
15.0ms
l
15.0ms
t
13.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
73.2%1t
74.8%2l
74.8%2(*.f64 l l)
73.2%1k
Compiler

Compiled 5 to 13 computations (-160% saved)

regimes68.0ms (0.8%)

Memory
-22.6MiB live, 34.7MiB allocated; 1ms collecting garbage
Counts
52 → 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 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 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 k (*.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 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 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) t) k)) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 #s(literal 2 binary64) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) t) k)) (/.f64 #s(literal 2 binary64) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #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 (/.f64 (*.f64 #s(literal 2 binary64) l) k) (/.f64 l (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 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 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 k k) t)) (/.f64 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 l l) k) (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 k k) t) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (*.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 k k) t) (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 k k))) k) k) (/.f64 t (*.f64 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 (exp.f64 (*.f64 (log.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 (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) (/.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 (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)))))
#s(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 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (pow.f64 (*.f64 k k) #s(literal 3/2 binary64)) 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 (exp.f64 (*.f64 (log.f64 (*.f64 k k)) #s(literal 2 binary64))) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l k) (*.f64 l k)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 0 binary64)) #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 k (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 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) (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))) (*.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) (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (exp.f64 (log.f64 (*.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 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l)))) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 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 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l)))) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t 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))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 l))) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(approx (* (* k k) (/ (pow (* t t) 3/2) (* l l))) (neg.f64 (*.f64 k (*.f64 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) #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 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 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 (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))))
#s(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 (* (cos (+ k k)) 1/2) #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 #s(literal 2 binary64) (*.f64 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.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 #s(approx (pow (sin k) 2) (*.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 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 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 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* (cos (+ k k)) 1/2) #s(literal 1/2 binary64))) t) k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) k)))
Calls

6 calls:

13.0ms
k
12.0ms
l
12.0ms
t
10.0ms
(*.f64 l l)
9.0ms
(*.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
71.8%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
71.8%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
71.8%1t
71.8%1k
74.7%2(*.f64 l l)
74.7%2l
Compiler

Compiled 45 to 50 computations (-11.1% saved)

regimes36.0ms (0.4%)

Memory
18.7MiB live, 18.7MiB allocated; 0ms collecting garbage
Counts
51 → 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 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 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 k (*.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 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 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) t) k)) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 #s(literal 2 binary64) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) t) k)) (/.f64 #s(literal 2 binary64) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #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 (/.f64 (*.f64 #s(literal 2 binary64) l) k) (/.f64 l (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 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 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 k k) t)) (/.f64 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 l l) k) (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 k k) t) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (*.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 k k) t) (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 k k))) k) k) (/.f64 t (*.f64 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 (exp.f64 (*.f64 (log.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 (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) (/.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 (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)))))
#s(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 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (pow.f64 (*.f64 k k) #s(literal 3/2 binary64)) 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 (exp.f64 (*.f64 (log.f64 (*.f64 k k)) #s(literal 2 binary64))) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l k) (*.f64 l k)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 0 binary64)) #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 k (/.f64 (*.f64 k (*.f64 (*.f64 t t) t)) (*.f64 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) (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))) (*.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) (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 k k) k) k) (/.f64 t (exp.f64 (log.f64 (*.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 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l)))) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 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 (pow.f64 (*.f64 t t) #s(literal 3/2 binary64)) (*.f64 l l)))) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t 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))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 l))) (*.f64 k (*.f64 k (*.f64 (*.f64 k k) t)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(approx (* (* k k) (/ (pow (* t t) 3/2) (* l l))) (neg.f64 (*.f64 k (*.f64 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) #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 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 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 (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))))
#s(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 (* (cos (+ k k)) 1/2) #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 #s(literal 2 binary64) (*.f64 (cos.f64 k) (*.f64 l l))) (*.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.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 #s(approx (pow (sin k) 2) (*.f64 k k)) t) (*.f64 k k))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 l (*.f64 (*.f64 k k) t))))
Calls

3 calls:

12.0ms
l
12.0ms
k
10.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
71.8%1k
71.8%1(*.f64 l l)
71.8%1l
Compiler

Compiled 4 to 10 computations (-150% saved)

regimes24.0ms (0.3%)

Memory
-32.3MiB live, 15.4MiB allocated; 0ms collecting garbage
Counts
16 → 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 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 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 k (*.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 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 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) t) k)) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 #s(literal 2 binary64) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 k k) t) k)) (/.f64 #s(literal 2 binary64) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) (*.f64 k (*.f64 (*.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #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 (/.f64 (*.f64 #s(literal 2 binary64) l) k) (/.f64 l (*.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 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) t) k)) (/.f64 l k)))
Calls

6 calls:

4.0ms
t
4.0ms
l
4.0ms
k
4.0ms
(*.f64 l l)
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)))
Results
AccuracySegmentsBranch
71.4%1t
71.4%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
71.4%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
71.4%1(*.f64 l l)
71.4%1l
71.4%1k
Compiler

Compiled 45 to 50 computations (-11.1% saved)

regimes17.0ms (0.2%)

Memory
12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Counts
10 → 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 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 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 k (*.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 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 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 l t)))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.f64 k k) k) k)) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k (*.f64 k t)))))
Calls

6 calls:

3.0ms
l
3.0ms
t
3.0ms
k
2.0ms
(*.f64 l l)
2.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
68.4%2t
65.6%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
67.6%2(*.f64 l l)
65.6%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
67.6%2l
67.9%2k
Compiler

Compiled 45 to 50 computations (-11.1% saved)

regimes11.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 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 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 k (*.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 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 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) 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)))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) l) (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))))
Calls

4 calls:

3.0ms
t
3.0ms
l
3.0ms
k
2.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
65.6%1l
65.6%1(*.f64 l l)
65.6%1k
65.6%1t
Compiler

Compiled 5 to 13 computations (-160% saved)

regimes12.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 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 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 k (*.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 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)))
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
l
2.0ms
t
2.0ms
k
2.0ms
(*.f64 l l)
2.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
65.2%1t
65.2%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
65.2%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
65.2%1k
65.2%1(*.f64 l l)
65.2%1l
Compiler

Compiled 45 to 50 computations (-11.1% saved)

regimes8.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated; 0ms collecting garbage
Accuracy

Total -0.5b remaining (-2.2%)

Threshold costs -0.5b (-2.2%)

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

6 calls:

1.0ms
t
1.0ms
l
1.0ms
k
1.0ms
(*.f64 l l)
1.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
65.2%1t
65.2%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
65.2%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
65.2%1k
65.2%1l
65.2%1(*.f64 l l)
Compiler

Compiled 45 to 50 computations (-11.1% saved)

bsearch31.0ms (0.4%)

Memory
-38.2MiB live, 9.6MiB allocated; 1ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
2.0510826329265934e+164
1.1976711974729668e+168
Samples
9.0ms67×0valid
5.0ms21×3valid
5.0ms22×2valid
3.0ms17×1valid
0.0ms4valid
Compiler

Compiled 572 to 577 computations (-0.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
adjust: 4.0ms (21.3% of total)
ival-sin: 3.0ms (16% of total)
ival-pow2: 2.0ms (10.6% of total)
ival-tan: 2.0ms (10.6% of total)
ival-div!: 2.0ms (10.6% of total)
ival-mult!: 2.0ms (10.6% of total)
ival-add!: 1.0ms (5.3% of total)
ival-pow: 1.0ms (5.3% of total)
ival-sub!: 1.0ms (5.3% of total)

bsearch19.0ms (0.2%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
16.0ms
7.996115735376056e+185
2.0333814520038553e+187
Samples
6.0ms44×0valid
4.0ms16×3valid
2.0ms10×2valid
2.0ms10×1valid
Compiler

Compiled 353 to 360 computations (-2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
adjust: 2.0ms (18.3% of total)
ival-sin: 2.0ms (18.3% of total)
ival-pow2: 1.0ms (9.2% of total)
ival-tan: 1.0ms (9.2% of total)
ival-div!: 1.0ms (9.2% of total)
ival-pow: 1.0ms (9.2% of total)
ival-mult!: 1.0ms (9.2% of total)
ival-add!: 0.0ms (0% of total)
ival-sub!: 0.0ms (0% of total)

bsearch52.0ms (0.6%)

Memory
16.6MiB live, 16.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
1.5045685041631124e+219
4.1028050393156406e+220
26.0ms
3.995062479445542e-10
4.6393028772513e-5
Samples
20.0ms173×0valid
7.0ms37×1valid
6.0ms30×2valid
4.0ms16×3valid
Compiler

Compiled 1 062 to 1 082 computations (-1.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-sin: 5.0ms (16.8% of total)
adjust: 4.0ms (13.5% of total)
ival-tan: 4.0ms (13.5% of total)
ival-div!: 4.0ms (13.5% of total)
ival-mult!: 4.0ms (13.5% of total)
ival-pow2: 3.0ms (10.1% of total)
ival-pow: 3.0ms (10.1% of total)
ival-add!: 1.0ms (3.4% of total)
ival-sub!: 1.0ms (3.4% of total)

bsearch2.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.995062479445542e-10
4.6393028772513e-5
Compiler

Compiled 586 to 592 computations (-1% saved)

bsearch2.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.995062479445542e-10
4.6393028772513e-5
Compiler

Compiled 586 to 592 computations (-1% saved)

bsearch2.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.995062479445542e-10
4.6393028772513e-5
Compiler

Compiled 586 to 592 computations (-1% saved)

bsearch2.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.995062479445542e-10
4.6393028772513e-5
Compiler

Compiled 586 to 592 computations (-1% saved)

bsearch2.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.995062479445542e-10
4.6393028772513e-5
Compiler

Compiled 586 to 592 computations (-1% saved)

bsearch2.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.995062479445542e-10
4.6393028772513e-5
Compiler

Compiled 586 to 592 computations (-1% saved)

bsearch23.0ms (0.3%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
3.717606317818825e+168
3.3768073829558485e+169
Samples
6.0ms51×0valid
5.0ms20×3valid
4.0ms16×2valid
2.0ms1valid
Compiler

Compiled 460 to 469 computations (-2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
adjust: 3.0ms (21.9% of total)
ival-pow2: 2.0ms (14.6% of total)
ival-tan: 2.0ms (14.6% of total)
ival-div!: 2.0ms (14.6% of total)
ival-sin: 2.0ms (14.6% of total)
ival-mult!: 2.0ms (14.6% of total)
ival-pow: 1.0ms (7.3% of total)
ival-add!: 0.0ms (0% of total)
ival-sub!: 0.0ms (0% of total)

bsearch25.0ms (0.3%)

Memory
-39.8MiB live, 7.1MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
2.802217442349517e+155
3.1013180947582103e+156
Samples
8.0ms49×0valid
4.0ms18×2valid
4.0ms15×3valid
2.0ms14×1valid
Compiler

Compiled 412 to 415 computations (-0.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-tan: 4.0ms (25.3% of total)
adjust: 3.0ms (18.9% of total)
ival-pow2: 2.0ms (12.6% of total)
ival-div!: 2.0ms (12.6% of total)
ival-mult!: 2.0ms (12.6% of total)
ival-sin: 2.0ms (12.6% of total)
ival-pow: 1.0ms (6.3% of total)
ival-add!: 0.0ms (0% of total)
ival-sub!: 0.0ms (0% of total)

bsearch31.0ms (0.4%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
1.464826219226017e+92
2.4756708952429035e+96
Samples
7.0ms52×0valid
7.0ms35×2valid
6.0ms24×3valid
3.0ms17×1valid
Compiler

Compiled 476 to 489 computations (-2.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
adjust: 5.0ms (25.6% of total)
ival-div!: 3.0ms (15.4% of total)
ival-sin: 3.0ms (15.4% of total)
ival-pow2: 2.0ms (10.2% of total)
ival-tan: 2.0ms (10.2% of total)
ival-mult!: 2.0ms (10.2% of total)
ival-add!: 1.0ms (5.1% of total)
ival-pow: 1.0ms (5.1% of total)
ival-sub!: 1.0ms (5.1% of total)

derivations420.0ms (5.1%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 239 to 151 computations (36.8% saved)

preprocess282.0ms (3.4%)

Memory
-15.2MiB live, 223.0MiB allocated; 20ms collecting garbage
Remove

(negabs t)

(abs k)

(abs l)

Compiler

Compiled 6 492 to 5 326 computations (18% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...