
Time bar (total: 10.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 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 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 6 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 7 |
| 53.1% | 53% | 46.8% | 0.1% | 0% | 0% | 0% | 8 |
| 60.9% | 60.8% | 39% | 0.1% | 0% | 0% | 0% | 9 |
| 60.9% | 60.8% | 39% | 0.1% | 0% | 0% | 0% | 10 |
| 64.8% | 64.7% | 35.1% | 0.1% | 0% | 0% | 0% | 11 |
| 68.4% | 68.3% | 31.6% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 18 to 14 computations (22.2% saved)
| 1.3s | 8 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
ival-sin: 667.0ms (62.7% of total)ival-pow2: 234.0ms (22% of total)ival-sqrt: 56.0ms (5.3% of total)ival-mult!: 41.0ms (3.9% of total)ival-div!: 36.0ms (3.4% of total)ival-add!: 27.0ms (2.5% of total)adjust: 2.0ms (0.2% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 166 |
| 1 | 113 | 163 |
| 2 | 396 | 163 |
| 3 | 2511 | 163 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.1% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(abs kx)
(negabs ky)
(negabs th)
Compiled 30 to 26 computations (13.3% saved)
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(sin.f64 ky) |
ky |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(sin.f64 kx) |
kx |
#s(literal 2 binary64) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(sin.f64 th) |
th |
| Outputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (pow (sin ky) 2))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (pow (sin ky) 2)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* 1/2 (/ (pow kx 2) (sqrt (pow (sin ky) 2))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin ky) 2))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow kx 2) (pow (sin ky) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow (sin ky) 2)))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (pow kx 2))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))))) |
#s(approx (sin kx) #s(hole binary64 kx)) |
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* -1/6 (pow kx 2)))))) |
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6)))))) |
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))))) |
#s(approx kx #s(hole binary64 kx)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (pow (sin kx) 2))) |
#s(approx (sin kx) #s(hole binary64 (sin kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sqrt (pow (sin kx) 2))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (+ (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* -1/5040 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ ky (sqrt (pow (sin kx) 2))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* 1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (* 1/120 (/ 1 (sqrt (pow (sin kx) 2))))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (sin ky) #s(hole binary64 ky)) |
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* -1/6 (pow ky 2)))))) |
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))))) |
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))))) |
#s(approx ky #s(hole binary64 ky)) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (pow (sin kx) 2)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* 1/2 (/ (pow ky 2) (sqrt (pow (sin kx) 2))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin kx) 2))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow ky 2) (pow (sin kx) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 2)))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (pow ky 2))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))))) |
#s(approx (sin ky) #s(hole binary64 (sin ky))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (pow (sin ky) 2))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* th (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (sin th) #s(hole binary64 th)) |
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* -1/6 (pow th 2)))))) |
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))) |
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))))) |
#s(approx th #s(hole binary64 th)) |
#s(approx (sin th) #s(hole binary64 (sin th))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | ky | @ | 0 | ((* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) ky (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (sin kx) kx 2 (pow (sin ky) 2) (sin th) th) |
| 4.0ms | kx | @ | 0 | ((* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) ky (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (sin kx) kx 2 (pow (sin ky) 2) (sin th) th) |
| 4.0ms | kx | @ | inf | ((* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) ky (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (sin kx) kx 2 (pow (sin ky) 2) (sin th) th) |
| 3.0ms | ky | @ | -inf | ((* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) ky (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (sin kx) kx 2 (pow (sin ky) 2) (sin th) th) |
| 3.0ms | kx | @ | -inf | ((* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) ky (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (sin kx) kx 2 (pow (sin ky) 2) (sin th) th) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 431 | 3117 |
| 0 | 447 | 2917 |
| 1 | 1428 | 2605 |
| 2 | 7125 | 2525 |
| 0 | 9768 | 2472 |
| 0 | 20312 | 2108 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(sin.f64 ky) |
ky |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(sin.f64 kx) |
kx |
#s(literal 2 binary64) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(sin.f64 th) |
th |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (pow (sin ky) 2))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (pow (sin ky) 2)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* 1/2 (/ (pow kx 2) (sqrt (pow (sin ky) 2))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin ky) 2))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow kx 2) (pow (sin ky) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow (sin ky) 2)))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (pow kx 2))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))))) |
#s(approx (sin kx) #s(hole binary64 kx)) |
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* -1/6 (pow kx 2)))))) |
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6)))))) |
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))))) |
#s(approx kx #s(hole binary64 kx)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (pow (sin kx) 2))) |
#s(approx (sin kx) #s(hole binary64 (sin kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sqrt (pow (sin kx) 2))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (+ (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* -1/5040 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ ky (sqrt (pow (sin kx) 2))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* 1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (* 1/120 (/ 1 (sqrt (pow (sin kx) 2))))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (sin ky) #s(hole binary64 ky)) |
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* -1/6 (pow ky 2)))))) |
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))))) |
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))))) |
#s(approx ky #s(hole binary64 ky)) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (pow (sin kx) 2)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* 1/2 (/ (pow ky 2) (sqrt (pow (sin kx) 2))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin kx) 2))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow ky 2) (pow (sin kx) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 2)))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (pow ky 2))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))))) |
#s(approx (sin ky) #s(hole binary64 (sin ky))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (pow (sin ky) 2))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* th (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (sin th) #s(hole binary64 th)) |
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* -1/6 (pow th 2)))))) |
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))) |
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))))) |
#s(approx th #s(hole binary64 th)) |
#s(approx (sin th) #s(hole binary64 (sin th))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th))) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
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(sin.f64 ky) |
ky |
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(fma.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) |
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(fma.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
(fma.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (fabs.f64 (sin.f64 kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
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(fma.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) |
(fma.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (fabs.f64 (sin.f64 ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) |
(fma.f64 (sqrt.f64 (fabs.f64 (sin.f64 ky))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) |
(fma.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 (sin.f64 kx)))) (neg.f64 (neg.f64 (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 (sin.f64 ky)))) (neg.f64 (neg.f64 (fabs.f64 (sin.f64 ky)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) |
(fma.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) |
(fma.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 kx)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
(fma.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 ky)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) |
(fma.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
(fma.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (fabs.f64 (sin.f64 ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) |
(fma.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 kx)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
(fma.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 ky)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) |
(fma.f64 (sin.f64 kx) (sin.f64 kx) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
(fma.f64 (sin.f64 ky) (sin.f64 ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) |
(sqrt.f64 (*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) |
(-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 ky))) |
(-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (*.f64 (neg.f64 (sin.f64 kx)) (sin.f64 kx))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64))) |
(+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
(+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) |
(*.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 (sin.f64 kx)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 (sin.f64 kx)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) |
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (fabs.f64 (sin.f64 kx)))) |
(*.f64 (sqrt.f64 (fabs.f64 (sin.f64 kx))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 kx)))) |
(*.f64 (neg.f64 (neg.f64 (fabs.f64 (sin.f64 kx)))) (neg.f64 (neg.f64 (fabs.f64 (sin.f64 kx))))) |
(*.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 kx))) |
(*.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 kx)))) |
(*.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 kx))) |
(*.f64 (sin.f64 kx) (sin.f64 kx)) |
(pow.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (sin.f64 kx) (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 kx)) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 2 binary64)) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 1 binary64)) |
(pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) |
(fabs.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sin.f64 kx))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 (sin.f64 kx)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 (sin.f64 kx))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64))) |
(sin.f64 kx) |
kx |
#s(literal 2 binary64) |
(*.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 (sin.f64 ky)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 (sin.f64 ky)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) |
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (fabs.f64 (sin.f64 ky)))) |
(*.f64 (sqrt.f64 (fabs.f64 (sin.f64 ky))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (fabs.f64 (sin.f64 ky)))) (neg.f64 (neg.f64 (fabs.f64 (sin.f64 ky))))) |
(*.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 ky)))) |
(*.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 ky))) |
(*.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (fabs.f64 (sin.f64 ky)))) |
(*.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (sin.f64 ky)) |
(pow.f64 (*.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 ky)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 8 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 2 binary64)) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 1 binary64)) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky (/.f64 (PI.f64) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky (/.f64 (PI.f64) #s(literal 2 binary64)))))))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky (/.f64 (PI.f64) #s(literal 2 binary64)))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky (/.f64 (PI.f64) #s(literal 2 binary64)))))))) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 ky (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 ky (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 ky (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 ky (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 ky (PI.f64)) (+.f64 ky (PI.f64)))) (cos.f64 (+.f64 (+.f64 ky (PI.f64)) (+.f64 ky (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 ky (PI.f64)) (neg.f64 ky))) (cos.f64 (+.f64 (+.f64 ky (PI.f64)) (neg.f64 ky)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 ky) (+.f64 ky (PI.f64)))) (cos.f64 (+.f64 (neg.f64 ky) (+.f64 ky (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 ky) (neg.f64 ky))) (cos.f64 (+.f64 (neg.f64 ky) (neg.f64 ky)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 ky (PI.f64)) (+.f64 ky (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (+.f64 ky (PI.f64)) (+.f64 ky (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 ky) (+.f64 ky (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (neg.f64 ky) (+.f64 ky (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky (PI.f64)))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 ky))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 ky) (cos.f64 ky))) |
(fabs.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sin.f64 ky))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 (sin.f64 ky)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 (sin.f64 ky))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(sin.f64 th) |
th |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sin.f64 ky)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sin.f64 ky)) (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (*.f64 (*.f64 (sin.f64 ky) #s(literal -1/4 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))))) kx) kx))) (*.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 th)) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (*.f64 (*.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))))) (*.f64 (neg.f64 kx) kx) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 ky) #s(literal -1/4 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))))) (*.f64 kx kx) (*.f64 (*.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky)))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (*.f64 kx kx)) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 kx) kx) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) kx) kx (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (*.f64 (*.f64 kx kx) (-.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (sin.f64 ky) #s(literal -1/4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sin.f64 ky)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 kx) kx) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 ky) #s(literal -1/4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))))) (*.f64 kx kx) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 ky))) kx) kx (fabs.f64 (sin.f64 ky)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1/2 binary64)) (fabs.f64 (sin.f64 ky))) (*.f64 kx kx) (fabs.f64 (sin.f64 ky)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (*.f64 kx kx)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64))) (fabs.f64 (sin.f64 ky))) (*.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 ky)))) (*.f64 kx kx) (fabs.f64 (sin.f64 ky)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 kx kx (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) kx (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx) kx (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) |
#s(approx (pow (sin kx) 2) (*.f64 kx kx)) |
#s(approx (pow (sin kx) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) kx)) |
#s(approx (pow (sin kx) 2) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx) kx)) |
#s(approx (pow (sin kx) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 kx kx) #s(literal 2/45 binary64)) kx) kx) #s(literal 1/3 binary64)) kx) kx #s(literal 1 binary64)) kx) kx)) |
#s(approx (sin kx) kx) |
#s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)) |
#s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)) |
#s(approx (sin kx) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) kx) kx #s(literal 1 binary64)) kx)) |
#s(approx kx kx) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) |
#s(approx (pow (sin kx) 2) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) |
#s(approx (sin kx) (sin.f64 kx)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (sin.f64 th) (/.f64 ky (fabs.f64 (sin.f64 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/6 binary64)) (fabs.f64 (sin.f64 kx)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal 1/120 binary64)) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))))))) ky) ky (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/6 binary64)) (fabs.f64 (sin.f64 kx))))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/5040 binary64)) (fabs.f64 (sin.f64 kx))) (fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sin.f64 th) (/.f64 (-.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal 1/120 binary64)) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #s(literal 1/2 binary64)))) (*.f64 ky ky) (-.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal 1/120 binary64)) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))))))) (*.f64 ky ky) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/6 binary64)) (fabs.f64 (sin.f64 kx))))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 ky (*.f64 (neg.f64 ky) ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (/.f64 ky (fabs.f64 (sin.f64 kx))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (fma.f64 (*.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx))) (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal -5 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)))) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 ky ky) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64))) ky) ky (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal -5 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)))) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx))) (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal -5 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)))) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (/.f64 #s(literal 1/5040 binary64) (fabs.f64 (sin.f64 kx)))) (*.f64 (neg.f64 ky) ky) (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx)))) (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal -5 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)))) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) #s(literal -1/2 binary64)))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx))))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (sin ky) ky) |
#s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) |
#s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) |
#s(approx (sin ky) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 ky ky) #s(literal -1/6 binary64)) ky) ky #s(literal 1 binary64)) ky)) |
#s(approx ky ky) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx))) ky) ky (fabs.f64 (sin.f64 kx)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1/2 binary64)) (fabs.f64 (sin.f64 kx))) (*.f64 ky ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (*.f64 ky ky)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64))) (fabs.f64 (sin.f64 kx))) (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx)))) (*.f64 ky ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) ky) ky (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal 1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky) ky (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) |
#s(approx (pow (sin ky) 2) (*.f64 ky ky)) |
#s(approx (pow (sin ky) 2) (*.f64 (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) ky) ky)) |
#s(approx (pow (sin ky) 2) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal 1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky) ky)) |
#s(approx (pow (sin ky) 2) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) ky) ky) #s(literal 1/3 binary64)) ky) ky #s(literal 1 binary64)) ky) ky)) |
#s(approx (sin ky) (sin.f64 ky)) |
#s(approx (pow (sin ky) 2) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 ky) th) th) #s(literal -1/6 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 ky) th) th) #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) #s(literal -1/6 binary64))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 ky) th) th) #s(literal -1/6 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 ky) (*.f64 (*.f64 (*.f64 (sin.f64 ky) th) th) #s(literal -1/5040 binary64))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 (*.f64 th th) (*.f64 th th)))) th)) |
#s(approx (sin th) th) |
#s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) |
#s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) |
#s(approx (sin th) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) th) th #s(literal 1 binary64)) th)) |
#s(approx th th) |
#s(approx (sin th) (sin.f64 th)) |
Compiled 5 539 to 1 944 computations (64.9% saved)
22 alts after pruning (21 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 399 | 21 | 420 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 399 | 22 | 421 |
| Status | Accuracy | Program |
|---|---|---|
| 95.8% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) | |
| ▶ | 99.6% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) |
| 99.6% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) | |
| 99.0% | (*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th)) | |
| 75.3% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))) (sin.f64 th)) | |
| 77.8% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))))) (sin.f64 th)) | |
| ✓ | 93.1% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 48.2% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th)) | |
| 75.9% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) | |
| ▶ | 84.3% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| ▶ | 46.5% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 75.9% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) #s(literal 1/2 binary64))))) (sin.f64 th)) | |
| 35.6% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))) (sin.f64 th)) | |
| 38.2% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 kx kx (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) (sin.f64 th)) | |
| 27.5% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)) | |
| ▶ | 31.1% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
| 40.0% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th)) | |
| 43.7% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) | |
| 50.0% | (*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| ▶ | 37.6% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
| 45.6% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))) | |
| 48.4% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
Compiled 813 to 737 computations (9.3% saved)
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) |
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(sin.f64 th) |
th |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sin.f64 kx) |
kx |
(sin.f64 ky) |
ky |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) |
(/.f64 ky (fabs.f64 (sin.f64 kx))) |
(fabs.f64 (sin.f64 kx)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) |
(sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) |
(cos.f64 (+.f64 kx kx)) |
(+.f64 kx kx) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
#s(approx (pow (sin kx) 2) (*.f64 kx kx)) |
(*.f64 kx kx) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ (sin th) (sqrt (pow (sin ky) 2))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (sin th) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin th) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin th) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin th) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin th) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin th) (sqrt (pow (sin ky) 2)))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (pow (sin ky) 2)))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* 1/2 (/ (pow kx 2) (sqrt (pow (sin ky) 2))))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (sin kx) #s(hole binary64 kx)) |
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* -1/6 (pow kx 2)))))) |
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6)))))) |
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))))) |
#s(approx kx #s(hole binary64 kx)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (pow (sin ky) 2))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ ky (fabs (sin kx))) #s(hole binary64 (/ ky (fabs (sin kx))))) |
#s(approx (fabs (sin kx)) #s(hole binary64 (fabs (sin kx)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (pow (sin ky) 2)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* 1/2 (/ (pow kx 2) (sqrt (pow (sin ky) 2))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin ky) 2))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow kx 2) (pow (sin ky) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow (sin ky) 2)))) |
#s(approx (- 1/2 (* 1/2 (cos (+ kx kx)))) #s(hole binary64 (pow kx 2))) |
#s(approx (- 1/2 (* 1/2 (cos (+ kx kx)))) #s(hole binary64 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))))) |
#s(approx (- 1/2 (* 1/2 (cos (+ kx kx)))) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))))) |
#s(approx (- 1/2 (* 1/2 (cos (+ kx kx)))) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))))) |
#s(approx (* 1/2 (cos (+ kx kx))) #s(hole binary64 1/2)) |
#s(approx (* 1/2 (cos (+ kx kx))) #s(hole binary64 (+ 1/2 (* -1 (pow kx 2))))) |
#s(approx (* 1/2 (cos (+ kx kx))) #s(hole binary64 (+ 1/2 (* (pow kx 2) (- (* 1/3 (pow kx 2)) 1))))) |
#s(approx (* 1/2 (cos (+ kx kx))) #s(hole binary64 (+ 1/2 (* (pow kx 2) (- (* (pow kx 2) (+ 1/3 (* -2/45 (pow kx 2)))) 1))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 1)) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (+ 1 (* -2 (pow kx 2))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))))) |
#s(approx (+ kx kx) #s(hole binary64 (* 2 kx))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (pow kx 2))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))))) |
#s(approx (* kx kx) #s(hole binary64 (pow kx 2))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (pow (sin ky) 2))))) |
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) #s(hole binary64 (sqrt (pow (sin ky) 2)))) |
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* 1/2 (/ (pow kx 2) (sqrt (pow (sin ky) 2))))))) |
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)) #s(hole binary64 (pow (sin ky) 2))) |
#s(approx (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)) #s(hole binary64 (+ (pow kx 2) (pow (sin ky) 2)))) |
#s(approx (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2)))) |
#s(approx (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow (sin ky) 2)))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ (sin th) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
#s(approx (sin kx) #s(hole binary64 (sin kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
#s(approx (- 1/2 (* 1/2 (cos (+ kx kx)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 kx)))))) |
#s(approx (* 1/2 (cos (+ kx kx))) #s(hole binary64 (* 1/2 (cos (* 2 kx))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (cos (* 2 kx)))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (pow (sin kx) 2))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx)))))))) |
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx)))))))) |
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) #s(hole binary64 (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx))))))) |
#s(approx (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)) #s(hole binary64 (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx)))))) |
#s(approx (- 1/2 (* 1/2 (cos (+ kx kx)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 kx))))))) |
#s(approx (* 1/2 (cos (+ kx kx))) #s(hole binary64 (* 1/2 (cos (neg (* -2 kx)))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (cos (neg (* -2 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (neg (* -2 kx))))))))) |
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (neg (* -2 kx))))))))) |
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) #s(hole binary64 (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (neg (* -2 kx)))))))) |
#s(approx (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)) #s(hole binary64 (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (neg (* -2 kx))))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (/ (* ky (sin th)) (sqrt (pow (sin kx) 2))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (+ (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* -1/5040 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ (sin th) (sqrt (pow (sin kx) 2))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sqrt (pow (sin kx) 2)) 3))) (/ (sin th) (sqrt (pow (sin kx) 2)))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/4 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 5)))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2)))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/4 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 5)))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/4 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 5))) (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/4 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 5)))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2)))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (pow (sin kx) 2)))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* 1/2 (/ (pow ky 2) (sqrt (pow (sin kx) 2))))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (sin ky) #s(hole binary64 ky)) |
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* -1/6 (pow ky 2)))))) |
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))))) |
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))))) |
#s(approx ky #s(hole binary64 ky)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sqrt (pow (sin kx) 2))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (+ (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* -1/5040 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ ky (sqrt (pow (sin kx) 2))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* 1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (* 1/120 (/ 1 (sqrt (pow (sin kx) 2))))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (pow (sin kx) 2)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* 1/2 (/ (pow ky 2) (sqrt (pow (sin kx) 2))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin kx) 2))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow ky 2) (pow (sin kx) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 2)))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (pow ky 2))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ (sin th) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3))))) (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow ky 2) (- (* 1/120 (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2))))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ (sin th) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3)))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3))))) (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow ky 2) (- (+ (* 1/120 (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow ky 2) (- (* -1/5040 (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))) (- (* -1/6 (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ (sin th) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3))))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2))) (+ (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2))))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3))) (* 1/2 (/ (- (* 1/120 (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2))))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ (sin th) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3)))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2))))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2))))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ (sin th) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3)))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3))))) (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))) |
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) #s(hole binary64 (/ ky (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))) |
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3)))))) (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))) |
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (* 1/120 (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3)))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))))) (+ (* 1/6 (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3)))))) (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))) |
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* 1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))) (+ (* 1/6 (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3))))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2))) (+ (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3))) (* 1/2 (/ (- (* 1/120 (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3)))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2))))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))))))) (* 1/120 (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3)))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))))) (+ (* 1/6 (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3)))))) (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))) |
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) #s(hole binary64 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) |
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) (* 1/2 (/ (pow ky 2) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))) |
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))) |
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))))) (* 1/2 (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))) |
#s(approx (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 kx)))))) |
#s(approx (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)) #s(hole binary64 (- (+ 1/2 (pow ky 2)) (* 1/2 (cos (* 2 kx)))))) |
#s(approx (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)) #s(hole binary64 (- (+ 1/2 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))) (* 1/2 (cos (* 2 kx)))))) |
#s(approx (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)) #s(hole binary64 (- (+ 1/2 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))) (* 1/2 (cos (* 2 kx)))))) |
#s(approx (sin ky) #s(hole binary64 (sin ky))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (pow (sin ky) 2))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (/ (* th (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ th (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (* th (+ (* -1/6 (/ (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (* th (+ (* (pow th 2) (- (* 1/120 (/ (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (* th (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/5040 (/ (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (* 1/6 (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (sin th) #s(hole binary64 th)) |
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* -1/6 (pow th 2)))))) |
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))) |
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))))) |
#s(approx th #s(hole binary64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* th (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* th (sin ky)) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx))))))) (/ (sin ky) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx)))))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx))))))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx))))))))) (/ (sin ky) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx)))))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx))))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx))))))) (* 1/120 (/ (sin ky) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx))))))))))) (/ (sin ky) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx)))))))))) |
#s(approx (sin th) #s(hole binary64 (sin th))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | kx | @ | -inf | ((* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th) th (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (fabs (sin kx))) (fabs (sin kx)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (cos (+ kx kx)))) 1/2 (* 1/2 (cos (+ kx kx))) (cos (+ kx kx)) (+ kx kx) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (* kx kx) (pow (sin ky) 2) 2 (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) |
| 8.0ms | ky | @ | -inf | ((* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th) th (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (fabs (sin kx))) (fabs (sin kx)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (cos (+ kx kx)))) 1/2 (* 1/2 (cos (+ kx kx))) (cos (+ kx kx)) (+ kx kx) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (* kx kx) (pow (sin ky) 2) 2 (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) |
| 8.0ms | ky | @ | 0 | ((* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th) th (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (fabs (sin kx))) (fabs (sin kx)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (cos (+ kx kx)))) 1/2 (* 1/2 (cos (+ kx kx))) (cos (+ kx kx)) (+ kx kx) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (* kx kx) (pow (sin ky) 2) 2 (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) |
| 8.0ms | kx | @ | 0 | ((* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th) th (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (fabs (sin kx))) (fabs (sin kx)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (cos (+ kx kx)))) 1/2 (* 1/2 (cos (+ kx kx))) (cos (+ kx kx)) (+ kx kx) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (* kx kx) (pow (sin ky) 2) 2 (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) |
| 6.0ms | ky | @ | inf | ((* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th) th (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (fabs (sin kx))) (fabs (sin kx)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (cos (+ kx kx)))) 1/2 (* 1/2 (cos (+ kx kx))) (cos (+ kx kx)) (+ kx kx) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (* kx kx) (pow (sin ky) 2) 2 (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 834 | 9519 |
| 0 | 894 | 7391 |
| 1 | 2884 | 6935 |
| 0 | 8358 | 6797 |
| 0 | 15339 | 6466 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) |
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(sin.f64 th) |
th |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sin.f64 kx) |
kx |
(sin.f64 ky) |
ky |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) |
(/.f64 ky (fabs.f64 (sin.f64 kx))) |
(fabs.f64 (sin.f64 kx)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) |
(sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) |
(cos.f64 (+.f64 kx kx)) |
(+.f64 kx kx) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
#s(approx (pow (sin kx) 2) (*.f64 kx kx)) |
(*.f64 kx kx) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ (sin th) (sqrt (pow (sin ky) 2))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (sin th) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin th) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin th) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin th) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin th) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin th) (sqrt (pow (sin ky) 2)))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (pow (sin ky) 2)))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* 1/2 (/ (pow kx 2) (sqrt (pow (sin ky) 2))))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (sin kx) #s(hole binary64 kx)) |
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* -1/6 (pow kx 2)))))) |
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6)))))) |
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))))) |
#s(approx kx #s(hole binary64 kx)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (pow (sin ky) 2))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ ky (fabs (sin kx))) #s(hole binary64 (/ ky (fabs (sin kx))))) |
#s(approx (fabs (sin kx)) #s(hole binary64 (fabs (sin kx)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (pow (sin ky) 2)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* 1/2 (/ (pow kx 2) (sqrt (pow (sin ky) 2))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin ky) 2))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow kx 2) (pow (sin ky) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow (sin ky) 2)))) |
#s(approx (- 1/2 (* 1/2 (cos (+ kx kx)))) #s(hole binary64 (pow kx 2))) |
#s(approx (- 1/2 (* 1/2 (cos (+ kx kx)))) #s(hole binary64 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))))) |
#s(approx (- 1/2 (* 1/2 (cos (+ kx kx)))) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))))) |
#s(approx (- 1/2 (* 1/2 (cos (+ kx kx)))) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))))) |
#s(approx (* 1/2 (cos (+ kx kx))) #s(hole binary64 1/2)) |
#s(approx (* 1/2 (cos (+ kx kx))) #s(hole binary64 (+ 1/2 (* -1 (pow kx 2))))) |
#s(approx (* 1/2 (cos (+ kx kx))) #s(hole binary64 (+ 1/2 (* (pow kx 2) (- (* 1/3 (pow kx 2)) 1))))) |
#s(approx (* 1/2 (cos (+ kx kx))) #s(hole binary64 (+ 1/2 (* (pow kx 2) (- (* (pow kx 2) (+ 1/3 (* -2/45 (pow kx 2)))) 1))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 1)) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (+ 1 (* -2 (pow kx 2))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))))) |
#s(approx (+ kx kx) #s(hole binary64 (* 2 kx))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (pow kx 2))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))))) |
#s(approx (* kx kx) #s(hole binary64 (pow kx 2))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (pow (sin ky) 2))))) |
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) #s(hole binary64 (sqrt (pow (sin ky) 2)))) |
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* 1/2 (/ (pow kx 2) (sqrt (pow (sin ky) 2))))))) |
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)) #s(hole binary64 (pow (sin ky) 2))) |
#s(approx (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)) #s(hole binary64 (+ (pow kx 2) (pow (sin ky) 2)))) |
#s(approx (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2)))) |
#s(approx (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow (sin ky) 2)))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ (sin th) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
#s(approx (sin kx) #s(hole binary64 (sin kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
#s(approx (- 1/2 (* 1/2 (cos (+ kx kx)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 kx)))))) |
#s(approx (* 1/2 (cos (+ kx kx))) #s(hole binary64 (* 1/2 (cos (* 2 kx))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (cos (* 2 kx)))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (pow (sin kx) 2))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx)))))))) |
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx)))))))) |
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) #s(hole binary64 (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx))))))) |
#s(approx (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)) #s(hole binary64 (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx)))))) |
#s(approx (- 1/2 (* 1/2 (cos (+ kx kx)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 kx))))))) |
#s(approx (* 1/2 (cos (+ kx kx))) #s(hole binary64 (* 1/2 (cos (neg (* -2 kx)))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (cos (neg (* -2 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (neg (* -2 kx))))))))) |
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (neg (* -2 kx))))))))) |
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) #s(hole binary64 (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (neg (* -2 kx)))))))) |
#s(approx (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)) #s(hole binary64 (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (neg (* -2 kx))))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (/ (* ky (sin th)) (sqrt (pow (sin kx) 2))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (+ (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* -1/5040 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ (sin th) (sqrt (pow (sin kx) 2))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sqrt (pow (sin kx) 2)) 3))) (/ (sin th) (sqrt (pow (sin kx) 2)))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/4 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 5)))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2)))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/4 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 5)))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/4 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 5))) (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/4 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 5)))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2)))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (pow (sin kx) 2)))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* 1/2 (/ (pow ky 2) (sqrt (pow (sin kx) 2))))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (sin ky) #s(hole binary64 ky)) |
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* -1/6 (pow ky 2)))))) |
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))))) |
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))))) |
#s(approx ky #s(hole binary64 ky)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sqrt (pow (sin kx) 2))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (+ (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* -1/5040 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ ky (sqrt (pow (sin kx) 2))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* 1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (* 1/120 (/ 1 (sqrt (pow (sin kx) 2))))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (pow (sin kx) 2)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* 1/2 (/ (pow ky 2) (sqrt (pow (sin kx) 2))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin kx) 2))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow ky 2) (pow (sin kx) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 2)))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (pow ky 2))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ (sin th) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3))))) (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow ky 2) (- (* 1/120 (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2))))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ (sin th) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3)))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3))))) (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow ky 2) (- (+ (* 1/120 (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow ky 2) (- (* -1/5040 (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))) (- (* -1/6 (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ (sin th) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3))))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2))) (+ (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2))))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3))) (* 1/2 (/ (- (* 1/120 (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2))))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ (sin th) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3)))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2))))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2))))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ (sin th) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3)))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3))))) (/ (sin th) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))) |
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) #s(hole binary64 (/ ky (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))) |
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3)))))) (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))) |
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (* 1/120 (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3)))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))))) (+ (* 1/6 (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3)))))) (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))) |
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* 1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))) (+ (* 1/6 (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3))))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2))) (+ (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3))) (* 1/2 (/ (- (* 1/120 (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3)))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2))))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))))))) (* 1/120 (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3)))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))))) (+ (* 1/6 (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 3)))))) (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))) |
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) #s(hole binary64 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) |
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) (* 1/2 (/ (pow ky 2) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))) |
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))) |
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2)))) (pow (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) 2))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))))) (* 1/2 (/ 1 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))) |
#s(approx (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 kx)))))) |
#s(approx (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)) #s(hole binary64 (- (+ 1/2 (pow ky 2)) (* 1/2 (cos (* 2 kx)))))) |
#s(approx (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)) #s(hole binary64 (- (+ 1/2 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))) (* 1/2 (cos (* 2 kx)))))) |
#s(approx (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)) #s(hole binary64 (- (+ 1/2 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))) (* 1/2 (cos (* 2 kx)))))) |
#s(approx (sin ky) #s(hole binary64 (sin ky))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (pow (sin ky) 2))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (/ (* th (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ th (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (* th (+ (* -1/6 (/ (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (* th (+ (* (pow th 2) (- (* 1/120 (/ (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (* th (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/5040 (/ (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (* 1/6 (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (sin th) #s(hole binary64 th)) |
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* -1/6 (pow th 2)))))) |
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))) |
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))))) |
#s(approx th #s(hole binary64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* th (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* th (sin ky)) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx))))))) (/ (sin ky) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx)))))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx))))))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx))))))))) (/ (sin ky) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx)))))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (+ kx kx)))) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx))))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx))))))) (* 1/120 (/ (sin ky) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx))))))))))) (/ (sin ky) (sqrt (- (+ 1/2 (pow (sin ky) 2)) (* 1/2 (cos (* 2 kx)))))))))) |
#s(approx (sin th) #s(hole binary64 (sin th))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 #s(literal 2 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 th))) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(/.f64 (neg.f64 (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(neg.f64 (/.f64 (sin.f64 th) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(sin.f64 th) |
th |
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64))) |
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (+.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx))) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (+.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky))) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (fma.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky)))))) #s(literal 2 binary64)) |
(/.f64 (sqrt.f64 (fma.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))))) #s(literal 2 binary64)) |
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64)) (neg.f64 (neg.f64 (sin.f64 ky)))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64)) (neg.f64 (fabs.f64 (sin.f64 ky)))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64)) (neg.f64 (sin.f64 ky))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64)) (fabs.f64 (sin.f64 ky))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64)) (sin.f64 ky)) |
(hypot.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64)) (neg.f64 (neg.f64 (sin.f64 ky)))) |
(hypot.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64)) (neg.f64 (fabs.f64 (sin.f64 ky)))) |
(hypot.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64)) (neg.f64 (sin.f64 ky))) |
(hypot.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64)) (fabs.f64 (sin.f64 ky))) |
(hypot.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64)) (sin.f64 ky)) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64)) (neg.f64 (neg.f64 (sin.f64 kx)))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64)) (neg.f64 (fabs.f64 (sin.f64 kx)))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64)) (neg.f64 (sin.f64 kx))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64)) (fabs.f64 (sin.f64 kx))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64)) (sin.f64 kx)) |
(hypot.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64)) (neg.f64 (neg.f64 (sin.f64 kx)))) |
(hypot.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64)) (neg.f64 (fabs.f64 (sin.f64 kx)))) |
(hypot.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64)) (neg.f64 (sin.f64 kx))) |
(hypot.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64)) (fabs.f64 (sin.f64 kx))) |
(hypot.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64)) (sin.f64 kx)) |
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx)))) |
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (fabs.f64 (sin.f64 kx)))) |
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx))) |
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx))) |
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (sin.f64 kx)) |
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky)))) |
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 ky)))) |
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky))) |
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky))) |
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (sin.f64 ky)) |
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx)))) |
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (fabs.f64 (sin.f64 kx)))) |
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx))) |
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx))) |
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 kx)) |
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky)))) |
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 ky)))) |
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky))) |
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky))) |
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (sin.f64 ky)) |
(hypot.f64 (neg.f64 (sin.f64 ky)) (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (sin.f64 ky)) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (sin.f64 kx)))) |
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (fabs.f64 (sin.f64 kx)))) |
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 kx))) |
(hypot.f64 (neg.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 kx))) |
(hypot.f64 (neg.f64 (sin.f64 ky)) (sin.f64 kx)) |
(hypot.f64 (neg.f64 (sin.f64 kx)) (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (sin.f64 kx)) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (neg.f64 (sin.f64 ky)))) |
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (fabs.f64 (sin.f64 ky)))) |
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 ky))) |
(hypot.f64 (neg.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 ky))) |
(hypot.f64 (neg.f64 (sin.f64 kx)) (sin.f64 ky)) |
(hypot.f64 (fabs.f64 (sin.f64 kx)) (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
(hypot.f64 (fabs.f64 (sin.f64 kx)) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (neg.f64 (sin.f64 ky)))) |
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (fabs.f64 (sin.f64 ky)))) |
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (sin.f64 ky))) |
(hypot.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 ky))) |
(hypot.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 ky)) |
(hypot.f64 (fabs.f64 (sin.f64 ky)) (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64))) |
(hypot.f64 (fabs.f64 (sin.f64 ky)) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64))) |
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (sin.f64 kx)))) |
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (fabs.f64 (sin.f64 kx)))) |
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (sin.f64 kx))) |
(hypot.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 kx))) |
(hypot.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) |
(hypot.f64 (sin.f64 kx) (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
(hypot.f64 (sin.f64 kx) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
(hypot.f64 (sin.f64 kx) (neg.f64 (neg.f64 (sin.f64 ky)))) |
(hypot.f64 (sin.f64 kx) (neg.f64 (fabs.f64 (sin.f64 ky)))) |
(hypot.f64 (sin.f64 kx) (neg.f64 (sin.f64 ky))) |
(hypot.f64 (sin.f64 kx) (fabs.f64 (sin.f64 ky))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(hypot.f64 (sin.f64 ky) (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64))) |
(hypot.f64 (sin.f64 ky) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64))) |
(hypot.f64 (sin.f64 ky) (neg.f64 (neg.f64 (sin.f64 kx)))) |
(hypot.f64 (sin.f64 ky) (neg.f64 (fabs.f64 (sin.f64 kx)))) |
(hypot.f64 (sin.f64 ky) (neg.f64 (sin.f64 kx))) |
(hypot.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/2 binary64))) |
(sin.f64 kx) |
kx |
(sin.f64 ky) |
ky |
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx))))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) |
(/.f64 (neg.f64 (neg.f64 ky)) (neg.f64 (neg.f64 (fabs.f64 (sin.f64 kx))))) |
(/.f64 (neg.f64 ky) (neg.f64 (fabs.f64 (sin.f64 kx)))) |
(/.f64 ky (fabs.f64 (sin.f64 kx))) |
(neg.f64 (/.f64 ky (neg.f64 (fabs.f64 (sin.f64 kx))))) |
(neg.f64 (/.f64 (neg.f64 ky) (fabs.f64 (sin.f64 kx)))) |
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(*.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1/2 binary64))) |
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(*.f64 (pow.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (sin.f64 kx)))) (sqrt.f64 (neg.f64 (neg.f64 (sin.f64 kx))))) |
(*.f64 (sqrt.f64 (neg.f64 (fabs.f64 (sin.f64 kx)))) (sqrt.f64 (neg.f64 (fabs.f64 (sin.f64 kx))))) |
(*.f64 (sqrt.f64 (neg.f64 (sin.f64 kx))) (sqrt.f64 (neg.f64 (sin.f64 kx)))) |
(*.f64 (sqrt.f64 (fabs.f64 (sin.f64 kx))) (sqrt.f64 (fabs.f64 (sin.f64 kx)))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) |
(*.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 1/4 binary64))) |
(pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)) |
(pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1 binary64)) |
(pow.f64 (sin.f64 kx) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx))))) (sqrt.f64 #s(literal -2 binary64))) |
(/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
(fabs.f64 (neg.f64 (neg.f64 (sin.f64 kx)))) |
(fabs.f64 (neg.f64 (sin.f64 kx))) |
(fabs.f64 (fabs.f64 (sin.f64 kx))) |
(fabs.f64 (sin.f64 kx)) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)) (neg.f64 (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))))) |
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) |
(/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) |
(*.f64 (pow.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64))) |
(pow.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 kx)))) |
(*.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 kx)))) |
(*.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 kx))) |
(*.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 kx))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) |
(*.f64 (sin.f64 kx) (sin.f64 kx)) |
(pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 2 binary64)) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 kx kx)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (cos.f64 (+.f64 kx kx)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 kx kx)) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 kx kx)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 (+.f64 kx kx)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 kx kx)) #s(literal 2 binary64)))) (+.f64 (/.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 kx kx)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
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(*.f64 #s(literal 2 binary64) kx) |
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(pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))) |
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(/.f64 (-.f64 (*.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin kx) 2) (*.f64 kx kx))) (*.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 ky))) (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 ky))))) (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 ky))))) |
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(fma.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64)) #s(approx (pow (sin kx) 2) (*.f64 kx kx))) |
(fma.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))) |
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(fma.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 ky)) #s(approx (pow (sin kx) 2) (*.f64 kx kx))) |
(fma.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 ky)) #s(approx (pow (sin kx) 2) (*.f64 kx kx))) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64)) #s(approx (pow (sin kx) 2) (*.f64 kx kx))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))) |
(fma.f64 (sin.f64 ky) (sin.f64 ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx))) |
(-.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 ky)))) |
(-.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (*.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (sin.f64 ky)))) |
(-.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) |
(+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
(+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))) |
#s(approx (pow (sin kx) 2) (*.f64 kx kx)) |
(*.f64 (fabs.f64 (fabs.f64 kx)) (fabs.f64 (fabs.f64 kx))) |
(*.f64 (neg.f64 (fabs.f64 kx)) (neg.f64 (fabs.f64 kx))) |
(*.f64 (neg.f64 (neg.f64 kx)) (neg.f64 (neg.f64 kx))) |
(*.f64 (fabs.f64 kx) (fabs.f64 kx)) |
(*.f64 (neg.f64 kx) (neg.f64 kx)) |
(*.f64 #s(literal 1 binary64) (*.f64 kx kx)) |
(*.f64 (*.f64 kx kx) #s(literal 1 binary64)) |
(*.f64 kx kx) |
(pow.f64 (fabs.f64 kx) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 kx) #s(literal 2 binary64)) |
(pow.f64 kx #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 kx) kx)) |
(fabs.f64 (*.f64 kx kx)) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 kx)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 kx)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 kx) #s(literal 2 binary64))) |
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(*.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 ky)))) |
(*.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (fabs.f64 (sin.f64 ky)))) |
(*.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 ky))) |
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(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))) |
(*.f64 (sin.f64 ky) (sin.f64 ky)) |
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(pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 2 binary64)) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 1 binary64)) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
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(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64)) |
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(-.f64 (/.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 ky ky)) #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) |
(fabs.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
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(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64))) |
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#s(literal 2 binary64) |
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(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/2 binary64))) |
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(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (sin.f64 ky))) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (sin.f64 ky))) (*.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (sin.f64 ky))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (sin.f64 ky))))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (-.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (fma.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 ky))) (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 ky))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 ky))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (sin.f64 ky))) (*.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (sin.f64 ky))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (sin.f64 ky))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (-.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) |
(/.f64 (+.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx))) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky))) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx))))) #s(literal 4 binary64)) |
(fma.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (sin.f64 ky))) |
(fma.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
(fma.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (sin.f64 ky))) |
(fma.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
(fma.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
(fma.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 kx))) (*.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (sin.f64 ky))) |
(fma.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
(fma.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (fabs.f64 (sin.f64 ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
(fma.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 kx))) (*.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (sin.f64 ky))) |
(fma.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
(fma.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 ky)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
(fma.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 kx)) (*.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (sin.f64 ky))) |
(fma.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 kx)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
(fma.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 kx)) (*.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (sin.f64 ky))) |
(fma.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 kx)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
(fma.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 ky)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (sin.f64 ky))) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (sin.f64 ky))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
(fma.f64 (sin.f64 kx) (sin.f64 kx) (*.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (sin.f64 ky))) |
(fma.f64 (sin.f64 kx) (sin.f64 kx) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
(fma.f64 (sin.f64 ky) (sin.f64 ky) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
(-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 ky)))) |
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(-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
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#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (fma.f64 (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (fma.f64 (fma.f64 (*.f64 (neg.f64 kx) kx) (fma.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (sin.f64 th)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal -1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (*.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (sin.f64 th)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal -1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (sin.f64 ky) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (sin.f64 th)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal 1/4 binary64)))) (*.f64 (neg.f64 kx) kx) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (sin.f64 th)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal -1/4 binary64))) (*.f64 kx kx) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (*.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (/.f64 (*.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (fma.f64 (*.f64 (neg.f64 kx) kx) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 kx kx) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal 1/4 binary64)))) (*.f64 (neg.f64 kx) kx) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (*.f64 kx kx) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 kx kx) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (/.f64 (*.f64 kx kx) (fabs.f64 (sin.f64 ky))) #s(literal 1/2 binary64) (fabs.f64 (sin.f64 ky)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (*.f64 kx kx)) #s(literal 1/2 binary64)) (fabs.f64 (sin.f64 ky))) (*.f64 kx kx) (fabs.f64 (sin.f64 ky)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (*.f64 kx kx)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64))) (fabs.f64 (sin.f64 ky))) (*.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 ky)))) (*.f64 kx kx) (fabs.f64 (sin.f64 ky)))) |
#s(approx (sin kx) kx) |
#s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)) |
#s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)) |
#s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)) |
#s(approx kx kx) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (fma.f64 (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (fma.f64 (fma.f64 (*.f64 (neg.f64 kx) kx) (fma.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (sin.f64 th)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal -1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (*.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (sin.f64 th)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal -1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (sin.f64 ky) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (sin.f64 th)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal 1/4 binary64)))) (*.f64 (neg.f64 kx) kx) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (sin.f64 th)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal -1/4 binary64))) (*.f64 kx kx) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (*.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky)))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (/.f64 (*.f64 (*.f64 kx kx) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (fma.f64 (*.f64 (neg.f64 kx) kx) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 kx kx) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal 1/4 binary64)))) (*.f64 (neg.f64 kx) kx) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (*.f64 kx kx) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 kx kx) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ ky (fabs (sin kx))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) |
#s(approx (fabs (sin kx)) (fabs.f64 (sin.f64 kx))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (/.f64 (*.f64 kx kx) (fabs.f64 (sin.f64 ky))) #s(literal 1/2 binary64) (fabs.f64 (sin.f64 ky)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (*.f64 kx kx)) #s(literal 1/2 binary64)) (fabs.f64 (sin.f64 ky))) (*.f64 kx kx) (fabs.f64 (sin.f64 ky)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (*.f64 kx kx)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64))) (fabs.f64 (sin.f64 ky))) (*.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 ky)))) (*.f64 kx kx) (fabs.f64 (sin.f64 ky)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (*.f64 kx kx))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))) |
#s(approx (pow (sin kx) 2) (*.f64 kx kx)) |
#s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx))) |
#s(approx (pow (sin kx) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx))) |
#s(approx (pow (sin kx) 2) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 kx kx) #s(literal 2/45 binary64)) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx))) |
#s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)) |
#s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) |
#s(approx (* 1/2 (cos (+ kx kx))) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 kx kx) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (cos (+ kx kx))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 kx kx) #s(literal 1/3 binary64)) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 kx kx) #s(literal 1/2 binary64))) |
#s(approx (cos (+ kx kx)) #s(literal 1 binary64)) |
#s(approx (cos (+ kx kx)) (fma.f64 #s(literal -2 binary64) (*.f64 kx kx) #s(literal 1 binary64))) |
#s(approx (cos (+ kx kx)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 kx kx)) #s(literal 2 binary64)) (*.f64 kx kx) #s(literal 1 binary64))) |
#s(approx (cos (+ kx kx)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 kx kx) #s(literal 2/3 binary64)) (*.f64 kx kx)) #s(literal 2 binary64)) (*.f64 kx kx) #s(literal 1 binary64))) |
#s(approx (+ kx kx) (+.f64 kx kx)) |
#s(approx (pow (sin kx) 2) (*.f64 kx kx)) |
#s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx))) |
#s(approx (pow (sin kx) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx))) |
#s(approx (pow (sin kx) 2) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 kx kx) #s(literal 2/45 binary64)) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx))) |
#s(approx (* kx kx) (*.f64 kx kx)) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (fma.f64 (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (fma.f64 (fma.f64 (*.f64 (neg.f64 kx) kx) (fma.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (sin.f64 th)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal -1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (*.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (sin.f64 th)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal -1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (sin.f64 ky) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (sin.f64 th)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal 1/4 binary64)))) (*.f64 (neg.f64 kx) kx) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (sin.f64 th)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal -1/4 binary64))) (*.f64 kx kx) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (*.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky)))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (/.f64 (*.f64 (*.f64 kx kx) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (fma.f64 (*.f64 (neg.f64 kx) kx) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 kx kx) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal 1/4 binary64)))) (*.f64 (neg.f64 kx) kx) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (*.f64 kx kx) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 kx kx) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (/.f64 (*.f64 kx kx) (fabs.f64 (sin.f64 ky))) #s(literal 1/2 binary64) (fabs.f64 (sin.f64 ky)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/3 binary64)) (*.f64 kx kx)) #s(literal 1/2 binary64)) (fabs.f64 (sin.f64 ky))) (*.f64 kx kx) (fabs.f64 (sin.f64 ky)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (*.f64 kx kx)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64))) (fabs.f64 (sin.f64 ky))) (*.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 ky)))) (*.f64 kx kx) (fabs.f64 (sin.f64 ky)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (*.f64 kx kx))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
#s(approx (sin kx) (sin.f64 kx)) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) |
#s(approx (pow (sin kx) 2) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
#s(approx (* 1/2 (cos (+ kx kx))) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) |
#s(approx (cos (+ kx kx)) (cos.f64 (+.f64 kx kx))) |
#s(approx (pow (sin kx) 2) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
#s(approx (pow (sin kx) 2) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
#s(approx (* 1/2 (cos (+ kx kx))) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) |
#s(approx (cos (+ kx kx)) (cos.f64 (+.f64 kx kx))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal 1/120 binary64) (*.f64 (*.f64 ky ky) (-.f64 (fma.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sin.f64 th) (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (*.f64 (*.f64 ky ky) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) #s(literal 1/4 binary64)))) (*.f64 (neg.f64 ky) ky) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (/.f64 (*.f64 ky ky) (fabs.f64 (sin.f64 kx))) #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (*.f64 ky ky)) #s(literal 1/2 binary64)) (fabs.f64 (sin.f64 kx))) (*.f64 ky ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (*.f64 ky ky)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64))) (fabs.f64 (sin.f64 kx))) (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx)))) (*.f64 ky ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (sin ky) ky) |
#s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) |
#s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) |
#s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) |
#s(approx ky ky) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal 1/120 binary64) (*.f64 (*.f64 ky ky) (-.f64 (fma.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sin.f64 th) (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) (*.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (*.f64 ky ky))) ky)) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx))))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx))) (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (+.f64 (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/5040 binary64) (fabs.f64 (sin.f64 kx)))))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx))))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (/.f64 (*.f64 ky ky) (fabs.f64 (sin.f64 kx))) #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (*.f64 ky ky)) #s(literal 1/2 binary64)) (fabs.f64 (sin.f64 kx))) (*.f64 ky ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (*.f64 ky ky)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64))) (fabs.f64 (sin.f64 kx))) (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx)))) (*.f64 ky ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 ky ky))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal 1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))) |
#s(approx (pow (sin ky) 2) (*.f64 ky ky)) |
#s(approx (pow (sin ky) 2) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky))) |
#s(approx (pow (sin ky) 2) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal 1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky))) |
#s(approx (pow (sin ky) 2) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) (*.f64 ky ky)) #s(literal 1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal 1/120 binary64) (*.f64 (*.f64 ky ky) (-.f64 (fma.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sin.f64 th) (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) (*.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (*.f64 ky ky))) ky)) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx))))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx))) (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (+.f64 (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/5040 binary64) (fabs.f64 (sin.f64 kx)))))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx))))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (/.f64 (*.f64 ky ky) (fabs.f64 (sin.f64 kx))) #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (*.f64 ky ky)) #s(literal 1/2 binary64)) (fabs.f64 (sin.f64 kx))) (*.f64 ky ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (*.f64 ky ky)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64))) (fabs.f64 (sin.f64 kx))) (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx)))) (*.f64 ky ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal 1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
#s(approx (sin ky) (sin.f64 ky)) |
#s(approx (pow (sin ky) 2) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th)) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 ky) (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 th th) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (*.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th)) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 th th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th)) |
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 th th)) (/.f64 #s(literal 1/6 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (*.f64 th th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th)) |
#s(approx (sin th) th) |
#s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) |
#s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) |
#s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) |
#s(approx th th) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th)) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 ky) (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 th th) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (*.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th)) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (*.f64 (sin.f64 ky) (/.f64 th (sqrt.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)) (sin.f64 ky)) (sqrt.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) th)) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)))) (sqrt.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (*.f64 th th) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) th)) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 ky) (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)))) (sqrt.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (*.f64 th th) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) (*.f64 th th) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) th)) |
#s(approx (sin th) (sin.f64 th)) |
Compiled 8 677 to 2 914 computations (66.4% saved)
56 alts after pruning (51 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 573 | 45 | 618 |
| Fresh | 10 | 6 | 16 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 584 | 56 | 640 |
| Status | Accuracy | Program |
|---|---|---|
| 95.8% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) | |
| 30.9% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) | |
| ✓ | 99.6% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) |
| 51.0% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))) | |
| 53.8% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) | |
| 59.1% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) #s(approx (sin ky) ky)) | |
| 53.1% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky))) (sin.f64 ky)) | |
| 75.7% | (*.f64 (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (+.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky))) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx))))) (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 ky)) | |
| 75.7% | (*.f64 (/.f64 (sin.f64 th) (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64)))) (sin.f64 ky)) | |
| 40.0% | (*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 ky)) | |
| 43.8% | (*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) | |
| ▶ | 99.6% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
| ▶ | 38.2% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th)) |
| ✓ | 93.1% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 48.2% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th)) | |
| 84.3% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (cos.f64 kx) (sin.f64 kx)) (-.f64 (cos.f64 kx) (sin.f64 kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| ✓ | 84.3% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 44.1% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th)) | |
| 27.4% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th)) | |
| 28.0% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) | |
| 75.8% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) (sin.f64 th)) | |
| 17.9% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (sin.f64 th)) | |
| 17.7% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (sin.f64 th)) | |
| 27.5% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)) | |
| ✓ | 31.1% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
| 16.6% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) | |
| ▶ | 16.9% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
| 10.4% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) (sin.f64 th)) | |
| 2.4% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)))))) (sin.f64 th)) | |
| 31.1% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))))) (sin.f64 th)) | |
| 11.0% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) (sin.f64 th)) | |
| 40.0% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th)) | |
| ▶ | 43.7% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
| 51.7% | (*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) | |
| 52.1% | (*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) | |
| 28.0% | (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) #s(literal 2 binary64))))) (sin.f64 th)) | |
| 30.3% | (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(literal 2 binary64))))) (sin.f64 th)) | |
| 41.3% | (*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| 33.0% | (*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| 25.3% | (*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) | |
| 51.7% | (*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)) (sin.f64 ky)) | |
| 30.2% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))) (sin.f64 th)) | |
| 18.7% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))) (sin.f64 th)) | |
| 25.3% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th)) | |
| 26.5% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx))))) (sin.f64 th)) | |
| ✓ | 37.6% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
| 19.5% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) | |
| 19.4% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) | |
| ▶ | 19.8% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th)) |
| 21.9% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) | |
| 21.9% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) | |
| 21.9% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) | |
| 22.1% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) | |
| 45.6% | #s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))) | |
| 36.4% | #s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) | |
| 48.4% | #s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
Compiled 2 214 to 2 009 computations (9.3% saved)
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(sin.f64 ky) |
ky |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin.f64 kx) |
kx |
(sin.f64 th) |
th |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th)) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) |
(/.f64 ky (fabs.f64 (sin.f64 kx))) |
(fabs.f64 (sin.f64 kx)) |
#s(approx (sin th) th) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) |
(sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) |
(cos.f64 (+.f64 kx kx)) |
(+.f64 kx kx) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) |
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 ky ky)) |
(+.f64 ky ky) |
#s(approx (pow (sin kx) 2) (*.f64 kx kx)) |
(*.f64 kx kx) |
| Outputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (/ (sin ky) (sqrt (pow (sin ky) 2))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (sqrt (pow (sin ky) 2)))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* 1/2 (/ (pow kx 2) (sqrt (pow (sin ky) 2))))))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (sin kx) #s(hole binary64 kx)) |
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* -1/6 (pow kx 2)))))) |
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6)))))) |
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))))) |
#s(approx kx #s(hole binary64 kx)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (pow (sin ky) 2))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ ky (fabs (sin kx))) #s(hole binary64 (/ ky (fabs (sin kx))))) |
#s(approx (fabs (sin kx)) #s(hole binary64 (fabs (sin kx)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (pow (sin ky) 2)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* 1/2 (/ (pow kx 2) (sqrt (pow (sin ky) 2))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin ky) 2))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow kx 2) (pow (sin ky) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow (sin ky) 2)))) |
#s(approx (- 1/2 (* 1/2 (cos (+ kx kx)))) #s(hole binary64 (pow kx 2))) |
#s(approx (- 1/2 (* 1/2 (cos (+ kx kx)))) #s(hole binary64 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))))) |
#s(approx (- 1/2 (* 1/2 (cos (+ kx kx)))) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))))) |
#s(approx (- 1/2 (* 1/2 (cos (+ kx kx)))) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))))) |
#s(approx (* 1/2 (cos (+ kx kx))) #s(hole binary64 1/2)) |
#s(approx (* 1/2 (cos (+ kx kx))) #s(hole binary64 (+ 1/2 (* -1 (pow kx 2))))) |
#s(approx (* 1/2 (cos (+ kx kx))) #s(hole binary64 (+ 1/2 (* (pow kx 2) (- (* 1/3 (pow kx 2)) 1))))) |
#s(approx (* 1/2 (cos (+ kx kx))) #s(hole binary64 (+ 1/2 (* (pow kx 2) (- (* (pow kx 2) (+ 1/3 (* -2/45 (pow kx 2)))) 1))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 1)) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (+ 1 (* -2 (pow kx 2))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))))) |
#s(approx (+ kx kx) #s(hole binary64 (* 2 kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (* 1/2 (- 1 (cos (* 2 ky)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))) (/ (* (sin ky) (sin th)) (sqrt (* 1/2 (- 1 (cos (* 2 ky))))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2)))))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))))) (/ (* (sin ky) (sin th)) (sqrt (* 1/2 (- 1 (cos (* 2 ky))))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2)))))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 5)))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2))) (+ (* 1/4 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2)))))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 5))) (* 1/2 (/ (* (sin ky) (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2)))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2)))))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))))))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2)))))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))))) (/ (* (sin ky) (sin th)) (sqrt (* 1/2 (- 1 (cos (* 2 ky))))))))) |
#s(approx (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (* 1/2 (- 1 (cos (* 2 ky)))))))) |
#s(approx (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))) (/ (sin ky) (sqrt (* 1/2 (- 1 (cos (* 2 ky))))))))) |
#s(approx (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2))))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))))) (/ (sin ky) (sqrt (* 1/2 (- 1 (cos (* 2 ky))))))))) |
#s(approx (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2))))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 5)))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2))) (+ (* 1/4 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2))))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 5))) (* 1/2 (/ (* (sin ky) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2)))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2))))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))))))) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2))))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))))) (/ (sin ky) (sqrt (* 1/2 (- 1 (cos (* 2 ky))))))))) |
#s(approx (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2))) #s(hole binary64 (sqrt (* 1/2 (- 1 (cos (* 2 ky))))))) |
#s(approx (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2))) #s(hole binary64 (+ (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) (* 1/2 (/ (pow kx 2) (sqrt (* 1/2 (- 1 (cos (* 2 ky)))))))))) |
#s(approx (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2))) #s(hole binary64 (+ (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2))))) (sqrt (* 1/2 (- 1 (cos (* 2 ky))))))) (* 1/2 (/ 1 (sqrt (* 1/2 (- 1 (cos (* 2 ky)))))))))))) |
#s(approx (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2))) #s(hole binary64 (+ (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2)))) (sqrt (* 1/2 (- 1 (cos (* 2 ky))))))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2)))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2))))) (sqrt (* 1/2 (- 1 (cos (* 2 ky))))))))) (* 1/2 (/ 1 (sqrt (* 1/2 (- 1 (cos (* 2 ky)))))))))))) |
#s(approx (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)) #s(hole binary64 (* 1/2 (- 1 (cos (* 2 ky)))))) |
#s(approx (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)) #s(hole binary64 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 2)))) |
#s(approx (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)) #s(hole binary64 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))) |
#s(approx (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)) #s(hole binary64 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (pow kx 2))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))))) |
#s(approx (* kx kx) #s(hole binary64 (pow kx 2))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
#s(approx (sin kx) #s(hole binary64 (sin kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
#s(approx (- 1/2 (* 1/2 (cos (+ kx kx)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 kx)))))) |
#s(approx (* 1/2 (cos (+ kx kx))) #s(hole binary64 (* 1/2 (cos (* 2 kx))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (cos (* 2 kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))) |
#s(approx (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2))) #s(hole binary64 (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))) |
#s(approx (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)) #s(hole binary64 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (pow (sin kx) 2))) |
#s(approx (- 1/2 (* 1/2 (cos (+ kx kx)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 kx))))))) |
#s(approx (* 1/2 (cos (+ kx kx))) #s(hole binary64 (* 1/2 (cos (neg (* -2 kx)))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (cos (neg (* -2 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sqrt (pow (sin kx) 2))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (+ (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* -1/5040 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (/ ky (sqrt (pow (sin kx) 2))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* 1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (* 1/120 (/ 1 (sqrt (pow (sin kx) 2))))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (sin ky) #s(hole binary64 ky)) |
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* -1/6 (pow ky 2)))))) |
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))))) |
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))))) |
#s(approx ky #s(hole binary64 ky)) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (sqrt (pow (sin kx) 2)))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* 1/2 (/ (pow ky 2) (sqrt (pow (sin kx) 2))))))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sqrt (pow (sin kx) 2))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (+ (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* -1/5040 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ ky (sqrt (pow (sin kx) 2))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* 1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (* 1/120 (/ 1 (sqrt (pow (sin kx) 2))))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (pow (sin kx) 2)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* 1/2 (/ (pow ky 2) (sqrt (pow (sin kx) 2))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin kx) 2))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow ky 2) (pow (sin kx) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 2)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sqrt (pow (sin kx) 2))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (+ (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* -1/5040 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) #s(hole binary64 (/ ky (sqrt (pow (sin kx) 2))))) |
#s(approx (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* 1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (* 1/120 (/ 1 (sqrt (pow (sin kx) 2))))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2))) #s(hole binary64 (sqrt (pow (sin kx) 2)))) |
#s(approx (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* 1/2 (/ (pow ky 2) (sqrt (pow (sin kx) 2))))))) |
#s(approx (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)) #s(hole binary64 (pow (sin kx) 2))) |
#s(approx (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)) #s(hole binary64 (+ (pow ky 2) (pow (sin kx) 2)))) |
#s(approx (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2)))) |
#s(approx (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 2)))) |
#s(approx (- 1 (cos (+ ky ky))) #s(hole binary64 (* 2 (pow ky 2)))) |
#s(approx (- 1 (cos (+ ky ky))) #s(hole binary64 (* (pow ky 2) (+ 2 (* -2/3 (pow ky 2)))))) |
#s(approx (- 1 (cos (+ ky ky))) #s(hole binary64 (* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3)))))) |
#s(approx (- 1 (cos (+ ky ky))) #s(hole binary64 (* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3)))))) |
#s(approx (cos (+ ky ky)) #s(hole binary64 1)) |
#s(approx (cos (+ ky ky)) #s(hole binary64 (+ 1 (* -2 (pow ky 2))))) |
#s(approx (cos (+ ky ky)) #s(hole binary64 (+ 1 (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2))))) |
#s(approx (cos (+ ky ky)) #s(hole binary64 (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2))))) |
#s(approx (+ ky ky) #s(hole binary64 (* 2 ky))) |
#s(approx (sin ky) #s(hole binary64 (sin ky))) |
#s(approx (- 1 (cos (+ ky ky))) #s(hole binary64 (- 1 (cos (* 2 ky))))) |
#s(approx (cos (+ ky ky)) #s(hole binary64 (cos (* 2 ky)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))) |
#s(approx (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2))) #s(hole binary64 (sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2))))) |
#s(approx (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)) #s(hole binary64 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))) |
#s(approx (- 1 (cos (+ ky ky))) #s(hole binary64 (- 1 (cos (neg (* -2 ky)))))) |
#s(approx (cos (+ ky ky)) #s(hole binary64 (cos (neg (* -2 ky))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (/ (* th (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (sin th) #s(hole binary64 th)) |
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* -1/6 (pow th 2)))))) |
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))) |
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))))) |
#s(approx th #s(hole binary64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* th (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (/ (* th (sin ky)) (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))) (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))))) (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))) (* 1/120 (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))))))) (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))))) |
#s(approx (sin th) #s(hole binary64 (sin th))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | th | @ | inf | ((* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) ky (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin kx) kx (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (fabs (sin kx))) (fabs (sin kx)) (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (cos (+ kx kx)))) 1/2 (* 1/2 (cos (+ kx kx))) (cos (+ kx kx)) (+ kx kx) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2))) (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)) (- 1 (cos (+ ky ky))) 1 (cos (+ ky ky)) (+ ky ky) (pow (sin kx) 2) (* kx kx)) |
| 13.0ms | kx | @ | inf | ((* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) ky (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin kx) kx (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (fabs (sin kx))) (fabs (sin kx)) (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (cos (+ kx kx)))) 1/2 (* 1/2 (cos (+ kx kx))) (cos (+ kx kx)) (+ kx kx) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2))) (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)) (- 1 (cos (+ ky ky))) 1 (cos (+ ky ky)) (+ ky ky) (pow (sin kx) 2) (* kx kx)) |
| 9.0ms | kx | @ | 0 | ((* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) ky (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin kx) kx (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (fabs (sin kx))) (fabs (sin kx)) (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (cos (+ kx kx)))) 1/2 (* 1/2 (cos (+ kx kx))) (cos (+ kx kx)) (+ kx kx) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2))) (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)) (- 1 (cos (+ ky ky))) 1 (cos (+ ky ky)) (+ ky ky) (pow (sin kx) 2) (* kx kx)) |
| 9.0ms | kx | @ | -inf | ((* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) ky (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin kx) kx (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (fabs (sin kx))) (fabs (sin kx)) (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (cos (+ kx kx)))) 1/2 (* 1/2 (cos (+ kx kx))) (cos (+ kx kx)) (+ kx kx) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2))) (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)) (- 1 (cos (+ ky ky))) 1 (cos (+ ky ky)) (+ ky ky) (pow (sin kx) 2) (* kx kx)) |
| 5.0ms | ky | @ | -inf | ((* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) ky (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin kx) kx (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (fabs (sin kx))) (fabs (sin kx)) (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (cos (+ kx kx)))) 1/2 (* 1/2 (cos (+ kx kx))) (cos (+ kx kx)) (+ kx kx) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2))) (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)) (- 1 (cos (+ ky ky))) 1 (cos (+ ky ky)) (+ ky ky) (pow (sin kx) 2) (* kx kx)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 777 | 9464 |
| 0 | 826 | 7284 |
| 1 | 2436 | 6857 |
| 0 | 9244 | 6716 |
| 0 | 24583 | 6385 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(sin.f64 ky) |
ky |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin.f64 kx) |
kx |
(sin.f64 th) |
th |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th)) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) |
(/.f64 ky (fabs.f64 (sin.f64 kx))) |
(fabs.f64 (sin.f64 kx)) |
#s(approx (sin th) th) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) |
(sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) |
(cos.f64 (+.f64 kx kx)) |
(+.f64 kx kx) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) |
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 ky ky)) |
(+.f64 ky ky) |
#s(approx (pow (sin kx) 2) (*.f64 kx kx)) |
(*.f64 kx kx) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (/ (sin ky) (sqrt (pow (sin ky) 2))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (sqrt (pow (sin ky) 2)))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* 1/2 (/ (pow kx 2) (sqrt (pow (sin ky) 2))))))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (sin kx) #s(hole binary64 kx)) |
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* -1/6 (pow kx 2)))))) |
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6)))))) |
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))))) |
#s(approx kx #s(hole binary64 kx)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (pow (sin ky) 2))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ ky (fabs (sin kx))) #s(hole binary64 (/ ky (fabs (sin kx))))) |
#s(approx (fabs (sin kx)) #s(hole binary64 (fabs (sin kx)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (pow (sin ky) 2)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* 1/2 (/ (pow kx 2) (sqrt (pow (sin ky) 2))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin ky) 2))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow kx 2) (pow (sin ky) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow (sin ky) 2)))) |
#s(approx (- 1/2 (* 1/2 (cos (+ kx kx)))) #s(hole binary64 (pow kx 2))) |
#s(approx (- 1/2 (* 1/2 (cos (+ kx kx)))) #s(hole binary64 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))))) |
#s(approx (- 1/2 (* 1/2 (cos (+ kx kx)))) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))))) |
#s(approx (- 1/2 (* 1/2 (cos (+ kx kx)))) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))))) |
#s(approx (* 1/2 (cos (+ kx kx))) #s(hole binary64 1/2)) |
#s(approx (* 1/2 (cos (+ kx kx))) #s(hole binary64 (+ 1/2 (* -1 (pow kx 2))))) |
#s(approx (* 1/2 (cos (+ kx kx))) #s(hole binary64 (+ 1/2 (* (pow kx 2) (- (* 1/3 (pow kx 2)) 1))))) |
#s(approx (* 1/2 (cos (+ kx kx))) #s(hole binary64 (+ 1/2 (* (pow kx 2) (- (* (pow kx 2) (+ 1/3 (* -2/45 (pow kx 2)))) 1))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 1)) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (+ 1 (* -2 (pow kx 2))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))))) |
#s(approx (+ kx kx) #s(hole binary64 (* 2 kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (* 1/2 (- 1 (cos (* 2 ky)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))) (/ (* (sin ky) (sin th)) (sqrt (* 1/2 (- 1 (cos (* 2 ky))))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2)))))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))))) (/ (* (sin ky) (sin th)) (sqrt (* 1/2 (- 1 (cos (* 2 ky))))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2)))))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 5)))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2))) (+ (* 1/4 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2)))))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 5))) (* 1/2 (/ (* (sin ky) (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2)))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2)))))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))))))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2)))))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))))) (/ (* (sin ky) (sin th)) (sqrt (* 1/2 (- 1 (cos (* 2 ky))))))))) |
#s(approx (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (* 1/2 (- 1 (cos (* 2 ky)))))))) |
#s(approx (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))) (/ (sin ky) (sqrt (* 1/2 (- 1 (cos (* 2 ky))))))))) |
#s(approx (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2))))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))))) (/ (sin ky) (sqrt (* 1/2 (- 1 (cos (* 2 ky))))))))) |
#s(approx (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2))))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 5)))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2))) (+ (* 1/4 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2))))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 5))) (* 1/2 (/ (* (sin ky) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2)))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2))))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))))))) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2))))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 3))))) (/ (sin ky) (sqrt (* 1/2 (- 1 (cos (* 2 ky))))))))) |
#s(approx (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2))) #s(hole binary64 (sqrt (* 1/2 (- 1 (cos (* 2 ky))))))) |
#s(approx (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2))) #s(hole binary64 (+ (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) (* 1/2 (/ (pow kx 2) (sqrt (* 1/2 (- 1 (cos (* 2 ky)))))))))) |
#s(approx (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2))) #s(hole binary64 (+ (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2))))) (sqrt (* 1/2 (- 1 (cos (* 2 ky))))))) (* 1/2 (/ 1 (sqrt (* 1/2 (- 1 (cos (* 2 ky)))))))))))) |
#s(approx (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2))) #s(hole binary64 (+ (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2)))) (sqrt (* 1/2 (- 1 (cos (* 2 ky))))))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2)))) (pow (sqrt (* 1/2 (- 1 (cos (* 2 ky))))) 2))))) (sqrt (* 1/2 (- 1 (cos (* 2 ky))))))))) (* 1/2 (/ 1 (sqrt (* 1/2 (- 1 (cos (* 2 ky)))))))))))) |
#s(approx (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)) #s(hole binary64 (* 1/2 (- 1 (cos (* 2 ky)))))) |
#s(approx (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)) #s(hole binary64 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 2)))) |
#s(approx (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)) #s(hole binary64 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))) |
#s(approx (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)) #s(hole binary64 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (pow kx 2))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))))) |
#s(approx (* kx kx) #s(hole binary64 (pow kx 2))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
#s(approx (sin kx) #s(hole binary64 (sin kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
#s(approx (- 1/2 (* 1/2 (cos (+ kx kx)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 kx)))))) |
#s(approx (* 1/2 (cos (+ kx kx))) #s(hole binary64 (* 1/2 (cos (* 2 kx))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (cos (* 2 kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))) |
#s(approx (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2))) #s(hole binary64 (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))) |
#s(approx (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)) #s(hole binary64 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (pow (sin kx) 2))) |
#s(approx (- 1/2 (* 1/2 (cos (+ kx kx)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 kx))))))) |
#s(approx (* 1/2 (cos (+ kx kx))) #s(hole binary64 (* 1/2 (cos (neg (* -2 kx)))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (cos (neg (* -2 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sqrt (pow (sin kx) 2))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (+ (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* -1/5040 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (/ ky (sqrt (pow (sin kx) 2))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* 1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (* 1/120 (/ 1 (sqrt (pow (sin kx) 2))))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (sin ky) #s(hole binary64 ky)) |
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* -1/6 (pow ky 2)))))) |
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))))) |
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))))) |
#s(approx ky #s(hole binary64 ky)) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (sqrt (pow (sin kx) 2)))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* 1/2 (/ (pow ky 2) (sqrt (pow (sin kx) 2))))))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sqrt (pow (sin kx) 2))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (+ (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* -1/5040 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ ky (sqrt (pow (sin kx) 2))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* 1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (* 1/120 (/ 1 (sqrt (pow (sin kx) 2))))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (pow (sin kx) 2)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* 1/2 (/ (pow ky 2) (sqrt (pow (sin kx) 2))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin kx) 2))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow ky 2) (pow (sin kx) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 2)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sqrt (pow (sin kx) 2))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (+ (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* -1/5040 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) #s(hole binary64 (/ ky (sqrt (pow (sin kx) 2))))) |
#s(approx (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* 1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (* 1/120 (/ 1 (sqrt (pow (sin kx) 2))))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2))) #s(hole binary64 (sqrt (pow (sin kx) 2)))) |
#s(approx (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* 1/2 (/ (pow ky 2) (sqrt (pow (sin kx) 2))))))) |
#s(approx (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)) #s(hole binary64 (pow (sin kx) 2))) |
#s(approx (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)) #s(hole binary64 (+ (pow ky 2) (pow (sin kx) 2)))) |
#s(approx (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2)))) |
#s(approx (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 2)))) |
#s(approx (- 1 (cos (+ ky ky))) #s(hole binary64 (* 2 (pow ky 2)))) |
#s(approx (- 1 (cos (+ ky ky))) #s(hole binary64 (* (pow ky 2) (+ 2 (* -2/3 (pow ky 2)))))) |
#s(approx (- 1 (cos (+ ky ky))) #s(hole binary64 (* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3)))))) |
#s(approx (- 1 (cos (+ ky ky))) #s(hole binary64 (* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3)))))) |
#s(approx (cos (+ ky ky)) #s(hole binary64 1)) |
#s(approx (cos (+ ky ky)) #s(hole binary64 (+ 1 (* -2 (pow ky 2))))) |
#s(approx (cos (+ ky ky)) #s(hole binary64 (+ 1 (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2))))) |
#s(approx (cos (+ ky ky)) #s(hole binary64 (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2))))) |
#s(approx (+ ky ky) #s(hole binary64 (* 2 ky))) |
#s(approx (sin ky) #s(hole binary64 (sin ky))) |
#s(approx (- 1 (cos (+ ky ky))) #s(hole binary64 (- 1 (cos (* 2 ky))))) |
#s(approx (cos (+ ky ky)) #s(hole binary64 (cos (* 2 ky)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))) |
#s(approx (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2))) #s(hole binary64 (sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2))))) |
#s(approx (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)) #s(hole binary64 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))) |
#s(approx (- 1 (cos (+ ky ky))) #s(hole binary64 (- 1 (cos (neg (* -2 ky)))))) |
#s(approx (cos (+ ky ky)) #s(hole binary64 (cos (neg (* -2 ky))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (/ (* th (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (sin th) #s(hole binary64 th)) |
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* -1/6 (pow th 2)))))) |
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))) |
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))))) |
#s(approx th #s(hole binary64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* th (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (/ (* th (sin ky)) (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))) (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))))) (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (+ ky ky)))) (pow (sin kx) 2)))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))) (* 1/120 (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))))))) (/ (sin ky) (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))))) |
#s(approx (sin th) #s(hole binary64 (sin th))) |
| Outputs |
|---|
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 #s(literal 2 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(sin.f64 ky) |
ky |
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64))) |
(pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (+.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky))) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (+.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx))) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (fma.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))))) #s(literal 2 binary64)) |
(/.f64 (sqrt.f64 (fma.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky)))))) #s(literal 2 binary64)) |
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64)) (neg.f64 (neg.f64 (sin.f64 kx)))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64)) (neg.f64 (fabs.f64 (sin.f64 kx)))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64)) (neg.f64 (sin.f64 kx))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64)) (fabs.f64 (sin.f64 kx))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64)) (sin.f64 kx)) |
(hypot.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64)) (neg.f64 (neg.f64 (sin.f64 kx)))) |
(hypot.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64)) (neg.f64 (fabs.f64 (sin.f64 kx)))) |
(hypot.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64)) (neg.f64 (sin.f64 kx))) |
(hypot.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64)) (fabs.f64 (sin.f64 kx))) |
(hypot.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64)) (sin.f64 kx)) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64)) (neg.f64 (neg.f64 (sin.f64 ky)))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64)) (neg.f64 (fabs.f64 (sin.f64 ky)))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64)) (neg.f64 (sin.f64 ky))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64)) (fabs.f64 (sin.f64 ky))) |
(hypot.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64)) (sin.f64 ky)) |
(hypot.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
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(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx))) |
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx))) |
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (sin.f64 kx)) |
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(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky)))) |
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 ky)))) |
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky))) |
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(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (sin.f64 ky)) |
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(hypot.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) |
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(hypot.f64 (sin.f64 kx) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
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(hypot.f64 (sin.f64 kx) (neg.f64 (sin.f64 ky))) |
(hypot.f64 (sin.f64 kx) (fabs.f64 (sin.f64 ky))) |
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(hypot.f64 (sin.f64 ky) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64))) |
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(hypot.f64 (sin.f64 ky) (neg.f64 (sin.f64 kx))) |
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(sin.f64 kx) |
kx |
(sin.f64 th) |
th |
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(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (sin.f64 kx)))) (sqrt.f64 (neg.f64 (neg.f64 (sin.f64 kx))))) |
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(pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)) |
(pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (sin.f64 kx) #s(literal 1 binary64)) |
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(fabs.f64 (neg.f64 (neg.f64 (sin.f64 kx)))) |
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(fabs.f64 (sin.f64 kx)) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (sin th) th) |
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(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) |
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(/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) |
(*.f64 (pow.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64))) |
(pow.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 kx)))) |
(*.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 kx)))) |
(*.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 kx))) |
(*.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 kx))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) |
(*.f64 (sin.f64 kx) (sin.f64 kx)) |
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(pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 2 binary64)) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
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#s(literal 1/2 binary64) |
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(cos.f64 (*.f64 #s(literal -2 binary64) kx)) |
(cos.f64 (+.f64 kx kx)) |
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(*.f64 (neg.f64 kx) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (neg.f64 kx)) |
(*.f64 #s(literal 2 binary64) kx) |
(*.f64 kx #s(literal 2 binary64)) |
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(/.f64 (-.f64 (*.f64 kx kx) (*.f64 kx kx)) #s(literal 0 binary64)) |
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(+.f64 kx kx) |
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(fma.f64 (cos.f64 ky) (cos.f64 ky) (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 ky))) |
(fma.f64 (cos.f64 ky) (cos.f64 ky) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) |
(cos.f64 (*.f64 #s(literal -2 binary64) ky)) |
(cos.f64 (+.f64 ky ky)) |
(+.f64 (*.f64 (sin.f64 (+.f64 ky ky)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 ky ky)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 ky)))) |
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (*.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (sin.f64 ky)))) |
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 ky))) |
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 ky) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (neg.f64 ky)) |
(*.f64 #s(literal 2 binary64) ky) |
(*.f64 ky #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 ky #s(literal 3 binary64)) (pow.f64 ky #s(literal 3 binary64))) (fma.f64 ky ky (-.f64 (*.f64 ky ky) (*.f64 ky ky)))) |
(/.f64 (-.f64 (*.f64 ky ky) (*.f64 ky ky)) #s(literal 0 binary64)) |
(neg.f64 (*.f64 #s(literal -2 binary64) ky)) |
(+.f64 ky ky) |
#s(approx (pow (sin kx) 2) (*.f64 kx kx)) |
(*.f64 (fabs.f64 (fabs.f64 kx)) (fabs.f64 (fabs.f64 kx))) |
(*.f64 (neg.f64 (fabs.f64 kx)) (neg.f64 (fabs.f64 kx))) |
(*.f64 (neg.f64 (neg.f64 kx)) (neg.f64 (neg.f64 kx))) |
(*.f64 (fabs.f64 kx) (fabs.f64 kx)) |
(*.f64 (neg.f64 kx) (neg.f64 kx)) |
(*.f64 (*.f64 kx kx) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 kx kx)) |
(*.f64 kx kx) |
(pow.f64 (fabs.f64 kx) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 kx) #s(literal 2 binary64)) |
(pow.f64 kx #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 kx) kx)) |
(fabs.f64 (*.f64 kx kx)) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 kx)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 kx)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 kx) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (fma.f64 (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (fma.f64 (fma.f64 (*.f64 (neg.f64 kx) kx) (fma.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (sin.f64 th)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal -1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (*.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (sin.f64 th)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal -1/4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (sin.f64 ky) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (sin.f64 th)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal 1/4 binary64)))) (*.f64 (neg.f64 kx) kx) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (sin.f64 th)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal -1/4 binary64))) (*.f64 kx kx) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (*.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky)))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (/.f64 (*.f64 (*.f64 kx kx) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (fma.f64 (*.f64 (neg.f64 kx) kx) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 kx kx) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal 1/4 binary64)))) (*.f64 (neg.f64 kx) kx) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (*.f64 kx kx) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 kx kx) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky))))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fabs.f64 (sin.f64 ky))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (/.f64 (*.f64 kx kx) (fabs.f64 (sin.f64 ky))) #s(literal 1/2 binary64) (fabs.f64 (sin.f64 ky)))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (*.f64 kx kx)) #s(literal 1/2 binary64)) (fabs.f64 (sin.f64 ky))) (*.f64 kx kx) (fabs.f64 (sin.f64 ky)))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))) (*.f64 kx kx)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64))) (fabs.f64 (sin.f64 ky))) (*.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 ky)))) (*.f64 kx kx) (fabs.f64 (sin.f64 ky)))) |
#s(approx (sin kx) kx) |
#s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)) |
#s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)) |
#s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)) |
#s(approx kx kx) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (fma.f64 (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (fma.f64 (fma.f64 (*.f64 (neg.f64 kx) kx) (fma.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (sin.f64 th)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal -1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (*.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (sin.f64 th)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal -1/4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (sin.f64 ky) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (sin.f64 th)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal 1/4 binary64)))) (*.f64 (neg.f64 kx) kx) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (sin.f64 th)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal -1/4 binary64))) (*.f64 kx kx) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (*.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky)))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (/.f64 (*.f64 (*.f64 kx kx) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (fma.f64 (*.f64 (neg.f64 kx) kx) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 kx kx) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal 1/4 binary64)))) (*.f64 (neg.f64 kx) kx) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (*.f64 kx kx) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 kx kx) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ ky (fabs (sin kx))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) |
#s(approx (fabs (sin kx)) (fabs.f64 (sin.f64 kx))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fabs.f64 (sin.f64 ky))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (/.f64 (*.f64 kx kx) (fabs.f64 (sin.f64 ky))) #s(literal 1/2 binary64) (fabs.f64 (sin.f64 ky)))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (*.f64 kx kx)) #s(literal 1/2 binary64)) (fabs.f64 (sin.f64 ky))) (*.f64 kx kx) (fabs.f64 (sin.f64 ky)))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))) (*.f64 kx kx)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64))) (fabs.f64 (sin.f64 ky))) (*.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 ky)))) (*.f64 kx kx) (fabs.f64 (sin.f64 ky)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))) |
#s(approx (pow (sin kx) 2) (*.f64 kx kx)) |
#s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx))) |
#s(approx (pow (sin kx) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx))) |
#s(approx (pow (sin kx) 2) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 kx kx) #s(literal 2/45 binary64)) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx))) |
#s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)) |
#s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) |
#s(approx (* 1/2 (cos (+ kx kx))) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 kx kx) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (cos (+ kx kx))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 kx kx) #s(literal 1/3 binary64)) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 kx kx) #s(literal 1/2 binary64))) |
#s(approx (cos (+ kx kx)) #s(literal 1 binary64)) |
#s(approx (cos (+ kx kx)) (fma.f64 #s(literal -2 binary64) (*.f64 kx kx) #s(literal 1 binary64))) |
#s(approx (cos (+ kx kx)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 kx kx)) #s(literal 2 binary64)) (*.f64 kx kx) #s(literal 1 binary64))) |
#s(approx (cos (+ kx kx)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 kx kx) #s(literal 2/3 binary64)) (*.f64 kx kx)) #s(literal 2 binary64)) (*.f64 kx kx) #s(literal 1 binary64))) |
#s(approx (+ kx kx) (+.f64 kx kx)) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (fma.f64 (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (fma.f64 (fma.f64 (*.f64 (neg.f64 kx) kx) (fma.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (sin.f64 th)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal -1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (*.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (sin.f64 th)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal -1/4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (sin.f64 ky) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (sin.f64 th)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal 1/4 binary64)))) (*.f64 (neg.f64 kx) kx) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (sin.f64 th)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal -1/4 binary64))) (*.f64 kx kx) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (*.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky)))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (/.f64 (*.f64 (*.f64 kx kx) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (fma.f64 (*.f64 (neg.f64 kx) kx) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 kx kx) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal 1/4 binary64)))) (*.f64 (neg.f64 kx) kx) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (*.f64 kx kx) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 kx kx) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky))))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fabs.f64 (sin.f64 ky))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (/.f64 (*.f64 kx kx) (fabs.f64 (sin.f64 ky))) #s(literal 1/2 binary64) (fabs.f64 (sin.f64 ky)))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (*.f64 kx kx)) #s(literal 1/2 binary64)) (fabs.f64 (sin.f64 ky))) (*.f64 kx kx) (fabs.f64 (sin.f64 ky)))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))) (*.f64 kx kx)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64))) (fabs.f64 (sin.f64 ky))) (*.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 ky)))) (*.f64 kx kx) (fabs.f64 (sin.f64 ky)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))) |
#s(approx (pow (sin kx) 2) (*.f64 kx kx)) |
#s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx))) |
#s(approx (pow (sin kx) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx))) |
#s(approx (pow (sin kx) 2) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 kx kx) #s(literal 2/45 binary64)) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx))) |
#s(approx (* kx kx) (*.f64 kx kx)) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
#s(approx (sin kx) (sin.f64 kx)) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) |
#s(approx (pow (sin kx) 2) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
#s(approx (* 1/2 (cos (+ kx kx))) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) |
#s(approx (cos (+ kx kx)) (cos.f64 (+.f64 kx kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) |
#s(approx (pow (sin kx) 2) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
#s(approx (pow (sin kx) 2) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
#s(approx (* 1/2 (cos (+ kx kx))) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) |
#s(approx (cos (+ kx kx)) (cos.f64 (+.f64 kx kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal 1/120 binary64) (*.f64 (*.f64 ky ky) (-.f64 (fma.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sin.f64 th) (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) (*.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (*.f64 ky ky))) ky)) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx))))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx))) (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (+.f64 (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/5040 binary64) (fabs.f64 (sin.f64 kx)))))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx))))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (sin ky) ky) |
#s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) |
#s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) |
#s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) |
#s(approx ky ky) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fabs.f64 (sin.f64 kx))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (*.f64 ky (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx)))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (*.f64 ky ky)) #s(literal 1/2 binary64)) (fabs.f64 (sin.f64 kx))) (*.f64 ky ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (*.f64 ky ky)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64))) (fabs.f64 (sin.f64 kx))) (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx)))) (*.f64 ky ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal 1/120 binary64) (*.f64 (*.f64 ky ky) (-.f64 (fma.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sin.f64 th) (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) (*.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (*.f64 ky ky))) ky)) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx))))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx))) (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (+.f64 (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/5040 binary64) (fabs.f64 (sin.f64 kx)))))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx))))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fabs.f64 (sin.f64 kx))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (*.f64 ky (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx)))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (*.f64 ky ky)) #s(literal 1/2 binary64)) (fabs.f64 (sin.f64 kx))) (*.f64 ky ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (*.f64 ky ky)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64))) (fabs.f64 (sin.f64 kx))) (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx)))) (*.f64 ky ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 ky ky))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal 1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal 1/120 binary64) (*.f64 (*.f64 ky ky) (-.f64 (fma.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sin.f64 th) (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) (*.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (*.f64 ky ky))) ky)) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx))))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx))) (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (+.f64 (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/5040 binary64) (fabs.f64 (sin.f64 kx)))))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx))))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fabs.f64 (sin.f64 kx))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (*.f64 ky (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx)))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (*.f64 ky ky)) #s(literal 1/2 binary64)) (fabs.f64 (sin.f64 kx))) (*.f64 ky ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (*.f64 ky ky)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64))) (fabs.f64 (sin.f64 kx))) (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx)))) (*.f64 ky ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 ky ky))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal 1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))) |
#s(approx (- 1 (cos (+ ky ky))) (*.f64 ky (+.f64 ky ky))) |
#s(approx (- 1 (cos (+ ky ky))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 ky ky) #s(literal 2 binary64)) (*.f64 ky ky))) |
#s(approx (- 1 (cos (+ ky ky))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 4/45 binary64) (*.f64 ky ky)) #s(literal 2/3 binary64)) (*.f64 ky ky) #s(literal 2 binary64)) (*.f64 ky ky))) |
#s(approx (- 1 (cos (+ ky ky))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/315 binary64) (*.f64 ky ky) #s(literal 4/45 binary64)) (*.f64 ky ky)) #s(literal 2/3 binary64)) (*.f64 ky ky) #s(literal 2 binary64)) (*.f64 ky ky))) |
#s(approx (cos (+ ky ky)) #s(literal 1 binary64)) |
#s(approx (cos (+ ky ky)) (fma.f64 (*.f64 ky ky) #s(literal -2 binary64) #s(literal 1 binary64))) |
#s(approx (cos (+ ky ky)) (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (*.f64 ky ky) #s(literal 1 binary64))) |
#s(approx (cos (+ ky ky)) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (*.f64 ky ky)) #s(literal 2 binary64)) (*.f64 ky ky) #s(literal 1 binary64))) |
#s(approx (+ ky ky) (+.f64 ky ky)) |
#s(approx (sin ky) (sin.f64 ky)) |
#s(approx (- 1 (cos (+ ky ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))) |
#s(approx (cos (+ ky ky)) (cos.f64 (+.f64 ky ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) |
#s(approx (- 1 (cos (+ ky ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))) |
#s(approx (cos (+ ky ky)) (cos.f64 (+.f64 ky ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 ky) (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 th th) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (*.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th)) |
#s(approx (sin th) th) |
#s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) |
#s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) |
#s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) |
#s(approx th th) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 ky) (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 th th) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (*.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 ky) (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 th th) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (*.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th)) |
#s(approx (sin th) (sin.f64 th)) |
Compiled 7 109 to 2 558 computations (64% saved)
80 alts after pruning (70 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 468 | 32 | 500 |
| Fresh | 8 | 38 | 46 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 476 | 80 | 556 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 95.8% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
| 42.4% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fabs.f64 (sin.f64 kx)))) | |
| 16.8% | (/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) | |
| ✓ | 99.6% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) |
| 51.0% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))) | |
| 53.8% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) | |
| 59.1% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) #s(approx (sin ky) ky)) | |
| 53.1% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky))) (sin.f64 ky)) | |
| 75.7% | (*.f64 (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (+.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky))) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx))))) (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 ky)) | |
| 75.7% | (*.f64 (/.f64 (sin.f64 th) (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64)))) (sin.f64 ky)) | |
| 40.0% | (*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 ky)) | |
| 43.8% | (*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) | |
| ✓ | 99.6% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
| ✓ | 38.2% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th)) |
| 22.0% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) | |
| ✓ | 93.1% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 48.2% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th)) | |
| 84.3% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (cos.f64 kx) (sin.f64 kx)) (-.f64 (cos.f64 kx) (sin.f64 kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| ✓ | 84.3% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 27.4% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th)) | |
| 28.0% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) | |
| 39.6% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) #s(approx (sin th) th)) | |
| 19.7% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal 1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))))) #s(approx (sin th) th)) | |
| 17.1% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky)))))) #s(approx (sin th) th)) | |
| 19.9% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 ky ky))))) #s(approx (sin th) th)) | |
| 75.8% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) (sin.f64 th)) | |
| 17.9% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (sin.f64 th)) | |
| ▶ | 13.0% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
| 17.7% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (sin.f64 th)) | |
| 12.9% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) | |
| 27.5% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)) | |
| ✓ | 31.1% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
| ✓ | 16.9% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
| 10.4% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) (sin.f64 th)) | |
| 9.8% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) #s(approx (sin th) th)) | |
| 2.0% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)))))) #s(approx (sin th) th)) | |
| 14.6% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) | |
| 16.9% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))))) #s(approx (sin th) th)) | |
| 13.5% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)))))) #s(approx (sin th) th)) | |
| 13.9% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) | |
| 6.0% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) | |
| 13.5% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 (neg.f64 (sin.f64 kx))) (sqrt.f64 (neg.f64 (sin.f64 kx)))))) (sin.f64 th)) | |
| ▶ | 31.0% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
| ✓ | 43.7% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
| 22.5% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) | |
| 23.0% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) | |
| 51.7% | (*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) | |
| 52.1% | (*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) | |
| 28.0% | (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) #s(literal 2 binary64))))) (sin.f64 th)) | |
| 18.4% | (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th)) | |
| 30.3% | (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(literal 2 binary64))))) (sin.f64 th)) | |
| 13.4% | (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) | |
| 37.0% | (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) | |
| 62.3% | (*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)) | |
| ▶ | 33.0% | (*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 25.3% | (*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) | |
| 14.0% | (*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) | |
| 51.7% | (*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)) (sin.f64 ky)) | |
| 30.2% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))) (sin.f64 th)) | |
| 16.8% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) | |
| 18.7% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))) (sin.f64 th)) | |
| 14.0% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))) #s(approx (sin th) th)) | |
| 25.3% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th)) | |
| 26.5% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx))))) (sin.f64 th)) | |
| 13.9% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) | |
| ✓ | 37.6% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
| 19.5% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) | |
| 19.4% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) | |
| ✓ | 19.8% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th)) |
| 21.9% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) | |
| 15.1% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) | |
| 21.9% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) | |
| 15.1% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) | |
| 21.9% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) | |
| 15.1% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) | |
| 22.1% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) | |
| ▶ | 15.3% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) #s(approx (sin th) th)) |
| 45.6% | #s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))) | |
| 36.4% | #s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) | |
| 48.4% | #s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
Compiled 3 294 to 3 035 computations (7.9% saved)
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(*.f64 (sin.f64 th) (sin.f64 ky)) |
(sin.f64 th) |
th |
(sin.f64 ky) |
ky |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sin.f64 kx) |
kx |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) #s(approx (sin th) th)) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) |
(/.f64 ky (fabs.f64 #s(approx (sin kx) kx))) |
(fabs.f64 #s(approx (sin kx) kx)) |
#s(approx (sin kx) kx) |
#s(approx (sin th) th) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) |
#s(approx (sin ky) ky) |
(sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64)))) |
(+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))) |
#s(approx (pow (sin kx) 2) (*.f64 kx kx)) |
(*.f64 kx kx) |
(pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) |
(sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64)))))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 kx kx)) |
(+.f64 kx kx) |
| Outputs |
|---|
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (pow (sin ky) 2)))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* 1/2 (/ (pow kx 2) (sqrt (pow (sin ky) 2))))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (sin kx) #s(hole binary64 kx)) |
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* -1/6 (pow kx 2)))))) |
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6)))))) |
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))))) |
#s(approx kx #s(hole binary64 kx)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (pow (sin ky) 2))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ ky (fabs (sin kx))) #s(hole binary64 (/ ky (fabs (sin kx))))) |
#s(approx (fabs (sin kx)) #s(hole binary64 (fabs (sin kx)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (pow (sin ky) 2)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* 1/2 (/ (pow kx 2) (sqrt (pow (sin ky) 2))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin ky) 2))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow kx 2) (pow (sin ky) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow (sin ky) 2)))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (pow kx 2))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))))) |
#s(approx (* kx kx) #s(hole binary64 (pow kx 2))) |
#s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) #s(hole binary64 (- 1/2 (* 1/2 (sin (* 1/2 (PI))))))) |
#s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) #s(hole binary64 (- (+ 1/2 (* -1 (* kx (cos (* 1/2 (PI)))))) (* 1/2 (sin (* 1/2 (PI))))))) |
#s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) #s(hole binary64 (- (+ 1/2 (* kx (- (* kx (sin (* 1/2 (PI)))) (cos (* 1/2 (PI)))))) (* 1/2 (sin (* 1/2 (PI))))))) |
#s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) #s(hole binary64 (- (+ 1/2 (* kx (- (* kx (- (* 2/3 (* kx (cos (* 1/2 (PI))))) (* -1 (sin (* 1/2 (PI)))))) (cos (* 1/2 (PI)))))) (* 1/2 (sin (* 1/2 (PI))))))) |
#s(approx (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2)))) #s(hole binary64 (* 1/2 (sin (* 1/2 (PI)))))) |
#s(approx (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/2 (sin (* 1/2 (PI)))) (* kx (cos (* 1/2 (PI))))))) |
#s(approx (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/2 (sin (* 1/2 (PI)))) (* kx (+ (cos (* 1/2 (PI))) (* -1 (* kx (sin (* 1/2 (PI)))))))))) |
#s(approx (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/2 (sin (* 1/2 (PI)))) (* kx (+ (cos (* 1/2 (PI))) (* kx (+ (* -1 (sin (* 1/2 (PI)))) (* -2/3 (* kx (cos (* 1/2 (PI)))))))))))) |
#s(approx (sin (+ (* 2 kx) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI))))) |
#s(approx (sin (+ (* 2 kx) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* 2 (* kx (cos (* 1/2 (PI)))))))) |
#s(approx (sin (+ (* 2 kx) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* kx (+ (* -2 (* kx (sin (* 1/2 (PI))))) (* 2 (cos (* 1/2 (PI))))))))) |
#s(approx (sin (+ (* 2 kx) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* kx (+ (* 2 (cos (* 1/2 (PI)))) (* kx (+ (* -2 (sin (* 1/2 (PI)))) (* -4/3 (* kx (cos (* 1/2 (PI)))))))))))) |
#s(approx (+ (* 2 kx) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI)))) |
#s(approx (+ (* 2 kx) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 kx)))) |
#s(approx (* (sqrt 1/2) (sqrt (- 1 (cos (+ kx kx))))) #s(hole binary64 (* kx (* (sqrt 1/2) (sqrt 2))))) |
#s(approx (* (sqrt 1/2) (sqrt (- 1 (cos (+ kx kx))))) #s(hole binary64 (* kx (+ (* -1/3 (/ (* (pow kx 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))) |
#s(approx (* (sqrt 1/2) (sqrt (- 1 (cos (+ kx kx))))) #s(hole binary64 (* kx (+ (* (sqrt 1/2) (sqrt 2)) (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))) |
#s(approx (* (sqrt 1/2) (sqrt (- 1 (cos (+ kx kx))))) #s(hole binary64 (* kx (+ (* (sqrt 1/2) (sqrt 2)) (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (sqrt 2))) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))) |
#s(approx (sqrt (- 1 (cos (+ kx kx)))) #s(hole binary64 (* kx (sqrt 2)))) |
#s(approx (sqrt (- 1 (cos (+ kx kx)))) #s(hole binary64 (* kx (+ (sqrt 2) (* -1/3 (/ (pow kx 2) (sqrt 2))))))) |
#s(approx (sqrt (- 1 (cos (+ kx kx)))) #s(hole binary64 (* kx (+ (sqrt 2) (* (pow kx 2) (- (* 1/2 (/ (* (pow kx 2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/3 (/ 1 (sqrt 2))))))))) |
#s(approx (sqrt (- 1 (cos (+ kx kx)))) #s(hole binary64 (* kx (+ (sqrt 2) (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/3 (/ 1 (sqrt 2))))))))) |
#s(approx (- 1 (cos (+ kx kx))) #s(hole binary64 (* 2 (pow kx 2)))) |
#s(approx (- 1 (cos (+ kx kx))) #s(hole binary64 (* (pow kx 2) (+ 2 (* -2/3 (pow kx 2)))))) |
#s(approx (- 1 (cos (+ kx kx))) #s(hole binary64 (* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3)))))) |
#s(approx (- 1 (cos (+ kx kx))) #s(hole binary64 (* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3)))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 1)) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (+ 1 (* -2 (pow kx 2))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))))) |
#s(approx (+ kx kx) #s(hole binary64 (* 2 kx))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
#s(approx (sin kx) #s(hole binary64 (sin kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (pow (sin kx) 2))) |
#s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) #s(hole binary64 (- 1/2 (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 kx))))))) |
#s(approx (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2)))) #s(hole binary64 (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 kx)))))) |
#s(approx (sin (+ (* 2 kx) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 2 kx))))) |
#s(approx (+ (* 2 kx) (/ (PI) 2)) #s(hole binary64 (* 2 kx))) |
#s(approx (+ (* 2 kx) (/ (PI) 2)) #s(hole binary64 (* kx (+ 2 (* 1/2 (/ (PI) kx)))))) |
#s(approx (* (sqrt 1/2) (sqrt (- 1 (cos (+ kx kx))))) #s(hole binary64 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))))) |
#s(approx (sqrt (- 1 (cos (+ kx kx)))) #s(hole binary64 (sqrt (- 1 (cos (* 2 kx)))))) |
#s(approx (- 1 (cos (+ kx kx))) #s(hole binary64 (- 1 (cos (* 2 kx))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (cos (* 2 kx)))) |
#s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) #s(hole binary64 (- 1/2 (* 1/2 (sin (- (* 1/2 (PI)) (* -2 kx))))))) |
#s(approx (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2)))) #s(hole binary64 (* 1/2 (sin (- (* 1/2 (PI)) (* -2 kx)))))) |
#s(approx (sin (+ (* 2 kx) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -2 kx))))) |
#s(approx (+ (* 2 kx) (/ (PI) 2)) #s(hole binary64 (* -1 (* kx (- (* -1/2 (/ (PI) kx)) 2))))) |
#s(approx (* (sqrt 1/2) (sqrt (- 1 (cos (+ kx kx))))) #s(hole binary64 (* (sqrt 1/2) (sqrt (- 1 (cos (neg (* -2 kx)))))))) |
#s(approx (sqrt (- 1 (cos (+ kx kx)))) #s(hole binary64 (sqrt (- 1 (cos (neg (* -2 kx))))))) |
#s(approx (- 1 (cos (+ kx kx))) #s(hole binary64 (- 1 (cos (neg (* -2 kx)))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (cos (neg (* -2 kx))))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ (* ky (sin th)) (sqrt (pow (sin kx) 2))))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (+ (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* -1/5040 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* ky (sin th)))) |
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th))))))) |
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th))))))))) |
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th)))))))))) |
#s(approx (sin ky) #s(hole binary64 ky)) |
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* -1/6 (pow ky 2)))))) |
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))))) |
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))))) |
#s(approx ky #s(hole binary64 ky)) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (pow (sin kx) 2)))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* 1/2 (/ (pow ky 2) (sqrt (pow (sin kx) 2))))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sqrt (pow (sin kx) 2))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (+ (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* -1/5040 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ ky (sqrt (pow (sin kx) 2))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* 1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (* 1/120 (/ 1 (sqrt (pow (sin kx) 2))))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (pow (sin kx) 2)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* 1/2 (/ (pow ky 2) (sqrt (pow (sin kx) 2))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin kx) 2))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow ky 2) (pow (sin kx) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 2)))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (pow ky 2))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))))) |
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* (sin ky) (sin th)))) |
#s(approx (sin ky) #s(hole binary64 (sin ky))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (pow (sin ky) 2))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ (* th (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* th (sin ky)))) |
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky))))))) |
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky))))))))) |
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky)))))))))) |
#s(approx (sin th) #s(hole binary64 th)) |
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* -1/6 (pow th 2)))))) |
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))) |
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))))) |
#s(approx th #s(hole binary64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* th (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (sin th) #s(hole binary64 (sin th))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | ky | @ | -inf | ((/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* (sin th) (sin ky)) (sin th) th (sin ky) ky (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (fabs (sin kx))) (fabs (sin kx)) (sin kx) (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (* kx kx) (pow (sin ky) 2) 2 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2)))) (sin (+ (* 2 kx) (/ (PI) 2))) (+ (* 2 kx) (/ (PI) 2)) (/ (PI) 2) (PI) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (sqrt 1/2) (sqrt (- 1 (cos (+ kx kx))))) (sqrt 1/2) (sqrt (- 1 (cos (+ kx kx)))) (- 1 (cos (+ kx kx))) 1 (cos (+ kx kx)) (+ kx kx)) |
| 5.0ms | kx | @ | 0 | ((/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* (sin th) (sin ky)) (sin th) th (sin ky) ky (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (fabs (sin kx))) (fabs (sin kx)) (sin kx) (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (* kx kx) (pow (sin ky) 2) 2 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2)))) (sin (+ (* 2 kx) (/ (PI) 2))) (+ (* 2 kx) (/ (PI) 2)) (/ (PI) 2) (PI) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (sqrt 1/2) (sqrt (- 1 (cos (+ kx kx))))) (sqrt 1/2) (sqrt (- 1 (cos (+ kx kx)))) (- 1 (cos (+ kx kx))) 1 (cos (+ kx kx)) (+ kx kx)) |
| 4.0ms | kx | @ | inf | ((/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* (sin th) (sin ky)) (sin th) th (sin ky) ky (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (fabs (sin kx))) (fabs (sin kx)) (sin kx) (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (* kx kx) (pow (sin ky) 2) 2 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2)))) (sin (+ (* 2 kx) (/ (PI) 2))) (+ (* 2 kx) (/ (PI) 2)) (/ (PI) 2) (PI) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (sqrt 1/2) (sqrt (- 1 (cos (+ kx kx))))) (sqrt 1/2) (sqrt (- 1 (cos (+ kx kx)))) (- 1 (cos (+ kx kx))) 1 (cos (+ kx kx)) (+ kx kx)) |
| 4.0ms | kx | @ | -inf | ((/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* (sin th) (sin ky)) (sin th) th (sin ky) ky (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (fabs (sin kx))) (fabs (sin kx)) (sin kx) (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (* kx kx) (pow (sin ky) 2) 2 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2)))) (sin (+ (* 2 kx) (/ (PI) 2))) (+ (* 2 kx) (/ (PI) 2)) (/ (PI) 2) (PI) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (sqrt 1/2) (sqrt (- 1 (cos (+ kx kx))))) (sqrt 1/2) (sqrt (- 1 (cos (+ kx kx)))) (- 1 (cos (+ kx kx))) 1 (cos (+ kx kx)) (+ kx kx)) |
| 3.0ms | ky | @ | inf | ((/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* (sin th) (sin ky)) (sin th) th (sin ky) ky (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (fabs (sin kx))) (fabs (sin kx)) (sin kx) (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (* kx kx) (pow (sin ky) 2) 2 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2)))) (sin (+ (* 2 kx) (/ (PI) 2))) (+ (* 2 kx) (/ (PI) 2)) (/ (PI) 2) (PI) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (sqrt 1/2) (sqrt (- 1 (cos (+ kx kx))))) (sqrt 1/2) (sqrt (- 1 (cos (+ kx kx)))) (- 1 (cos (+ kx kx))) 1 (cos (+ kx kx)) (+ kx kx)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 769 | 6362 |
| 0 | 822 | 5258 |
| 1 | 2577 | 4919 |
| 0 | 8364 | 4850 |
| 0 | 17008 | 4601 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(*.f64 (sin.f64 th) (sin.f64 ky)) |
(sin.f64 th) |
th |
(sin.f64 ky) |
ky |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sin.f64 kx) |
kx |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) #s(approx (sin th) th)) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) |
(/.f64 ky (fabs.f64 #s(approx (sin kx) kx))) |
(fabs.f64 #s(approx (sin kx) kx)) |
#s(approx (sin kx) kx) |
#s(approx (sin th) th) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) |
#s(approx (sin ky) ky) |
(sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64)))) |
(+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))) |
#s(approx (pow (sin kx) 2) (*.f64 kx kx)) |
(*.f64 kx kx) |
(pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) |
(sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64)))))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 kx kx)) |
(+.f64 kx kx) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (pow (sin ky) 2)))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* 1/2 (/ (pow kx 2) (sqrt (pow (sin ky) 2))))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (sin kx) #s(hole binary64 kx)) |
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* -1/6 (pow kx 2)))))) |
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6)))))) |
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))))) |
#s(approx kx #s(hole binary64 kx)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (* (sin ky) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (pow (sin ky) 2))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (sin ky) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))))))) (+ (* -1/2 (/ (* (sin ky) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin ky) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin ky) (sqrt (pow (sin ky) 2)))))) |
#s(approx (/ ky (fabs (sin kx))) #s(hole binary64 (/ ky (fabs (sin kx))))) |
#s(approx (fabs (sin kx)) #s(hole binary64 (fabs (sin kx)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (pow (sin ky) 2)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* 1/2 (/ (pow kx 2) (sqrt (pow (sin ky) 2))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin ky) 2)) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (sqrt (pow (sin ky) 2)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2)))) (pow (sqrt (pow (sin ky) 2)) 2))))) (sqrt (pow (sin ky) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin ky) 2))))))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin ky) 2))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow kx 2) (pow (sin ky) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow (sin ky) 2)))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (pow kx 2))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))))) |
#s(approx (* kx kx) #s(hole binary64 (pow kx 2))) |
#s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) #s(hole binary64 (- 1/2 (* 1/2 (sin (* 1/2 (PI))))))) |
#s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) #s(hole binary64 (- (+ 1/2 (* -1 (* kx (cos (* 1/2 (PI)))))) (* 1/2 (sin (* 1/2 (PI))))))) |
#s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) #s(hole binary64 (- (+ 1/2 (* kx (- (* kx (sin (* 1/2 (PI)))) (cos (* 1/2 (PI)))))) (* 1/2 (sin (* 1/2 (PI))))))) |
#s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) #s(hole binary64 (- (+ 1/2 (* kx (- (* kx (- (* 2/3 (* kx (cos (* 1/2 (PI))))) (* -1 (sin (* 1/2 (PI)))))) (cos (* 1/2 (PI)))))) (* 1/2 (sin (* 1/2 (PI))))))) |
#s(approx (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2)))) #s(hole binary64 (* 1/2 (sin (* 1/2 (PI)))))) |
#s(approx (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/2 (sin (* 1/2 (PI)))) (* kx (cos (* 1/2 (PI))))))) |
#s(approx (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/2 (sin (* 1/2 (PI)))) (* kx (+ (cos (* 1/2 (PI))) (* -1 (* kx (sin (* 1/2 (PI)))))))))) |
#s(approx (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/2 (sin (* 1/2 (PI)))) (* kx (+ (cos (* 1/2 (PI))) (* kx (+ (* -1 (sin (* 1/2 (PI)))) (* -2/3 (* kx (cos (* 1/2 (PI)))))))))))) |
#s(approx (sin (+ (* 2 kx) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI))))) |
#s(approx (sin (+ (* 2 kx) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* 2 (* kx (cos (* 1/2 (PI)))))))) |
#s(approx (sin (+ (* 2 kx) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* kx (+ (* -2 (* kx (sin (* 1/2 (PI))))) (* 2 (cos (* 1/2 (PI))))))))) |
#s(approx (sin (+ (* 2 kx) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* kx (+ (* 2 (cos (* 1/2 (PI)))) (* kx (+ (* -2 (sin (* 1/2 (PI)))) (* -4/3 (* kx (cos (* 1/2 (PI)))))))))))) |
#s(approx (+ (* 2 kx) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI)))) |
#s(approx (+ (* 2 kx) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 kx)))) |
#s(approx (* (sqrt 1/2) (sqrt (- 1 (cos (+ kx kx))))) #s(hole binary64 (* kx (* (sqrt 1/2) (sqrt 2))))) |
#s(approx (* (sqrt 1/2) (sqrt (- 1 (cos (+ kx kx))))) #s(hole binary64 (* kx (+ (* -1/3 (/ (* (pow kx 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))) |
#s(approx (* (sqrt 1/2) (sqrt (- 1 (cos (+ kx kx))))) #s(hole binary64 (* kx (+ (* (sqrt 1/2) (sqrt 2)) (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))) |
#s(approx (* (sqrt 1/2) (sqrt (- 1 (cos (+ kx kx))))) #s(hole binary64 (* kx (+ (* (sqrt 1/2) (sqrt 2)) (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (sqrt 2))) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))) |
#s(approx (sqrt (- 1 (cos (+ kx kx)))) #s(hole binary64 (* kx (sqrt 2)))) |
#s(approx (sqrt (- 1 (cos (+ kx kx)))) #s(hole binary64 (* kx (+ (sqrt 2) (* -1/3 (/ (pow kx 2) (sqrt 2))))))) |
#s(approx (sqrt (- 1 (cos (+ kx kx)))) #s(hole binary64 (* kx (+ (sqrt 2) (* (pow kx 2) (- (* 1/2 (/ (* (pow kx 2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/3 (/ 1 (sqrt 2))))))))) |
#s(approx (sqrt (- 1 (cos (+ kx kx)))) #s(hole binary64 (* kx (+ (sqrt 2) (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/3 (/ 1 (sqrt 2))))))))) |
#s(approx (- 1 (cos (+ kx kx))) #s(hole binary64 (* 2 (pow kx 2)))) |
#s(approx (- 1 (cos (+ kx kx))) #s(hole binary64 (* (pow kx 2) (+ 2 (* -2/3 (pow kx 2)))))) |
#s(approx (- 1 (cos (+ kx kx))) #s(hole binary64 (* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3)))))) |
#s(approx (- 1 (cos (+ kx kx))) #s(hole binary64 (* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3)))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 1)) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (+ 1 (* -2 (pow kx 2))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))))) |
#s(approx (+ kx kx) #s(hole binary64 (* 2 kx))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
#s(approx (sin kx) #s(hole binary64 (sin kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
#s(approx (pow (sin kx) 2) #s(hole binary64 (pow (sin kx) 2))) |
#s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) #s(hole binary64 (- 1/2 (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 kx))))))) |
#s(approx (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2)))) #s(hole binary64 (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 kx)))))) |
#s(approx (sin (+ (* 2 kx) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 2 kx))))) |
#s(approx (+ (* 2 kx) (/ (PI) 2)) #s(hole binary64 (* 2 kx))) |
#s(approx (+ (* 2 kx) (/ (PI) 2)) #s(hole binary64 (* kx (+ 2 (* 1/2 (/ (PI) kx)))))) |
#s(approx (* (sqrt 1/2) (sqrt (- 1 (cos (+ kx kx))))) #s(hole binary64 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))))) |
#s(approx (sqrt (- 1 (cos (+ kx kx)))) #s(hole binary64 (sqrt (- 1 (cos (* 2 kx)))))) |
#s(approx (- 1 (cos (+ kx kx))) #s(hole binary64 (- 1 (cos (* 2 kx))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (cos (* 2 kx)))) |
#s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) #s(hole binary64 (- 1/2 (* 1/2 (sin (- (* 1/2 (PI)) (* -2 kx))))))) |
#s(approx (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2)))) #s(hole binary64 (* 1/2 (sin (- (* 1/2 (PI)) (* -2 kx)))))) |
#s(approx (sin (+ (* 2 kx) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -2 kx))))) |
#s(approx (+ (* 2 kx) (/ (PI) 2)) #s(hole binary64 (* -1 (* kx (- (* -1/2 (/ (PI) kx)) 2))))) |
#s(approx (* (sqrt 1/2) (sqrt (- 1 (cos (+ kx kx))))) #s(hole binary64 (* (sqrt 1/2) (sqrt (- 1 (cos (neg (* -2 kx)))))))) |
#s(approx (sqrt (- 1 (cos (+ kx kx)))) #s(hole binary64 (sqrt (- 1 (cos (neg (* -2 kx))))))) |
#s(approx (- 1 (cos (+ kx kx))) #s(hole binary64 (- 1 (cos (neg (* -2 kx)))))) |
#s(approx (cos (+ kx kx)) #s(hole binary64 (cos (neg (* -2 kx))))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ (* ky (sin th)) (sqrt (pow (sin kx) 2))))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (+ (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* -1/5040 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* ky (sin th)))) |
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th))))))) |
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th))))))))) |
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th)))))))))) |
#s(approx (sin ky) #s(hole binary64 ky)) |
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* -1/6 (pow ky 2)))))) |
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))))) |
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))))) |
#s(approx ky #s(hole binary64 ky)) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (pow (sin kx) 2)))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* 1/2 (/ (pow ky 2) (sqrt (pow (sin kx) 2))))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sqrt (pow (sin kx) 2))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (+ (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (+ (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* (pow ky 2) (- (* -1/5040 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (* (sin th) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ (sin th) (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* -1/6 (/ (sin th) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ ky (sqrt (pow (sin kx) 2))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* 1/2 (/ (* (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3))))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* 1/2 (/ (- (* 1/120 (/ 1 (sqrt (pow (sin kx) 2)))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 2)))))))) (* 1/120 (/ 1 (sqrt (pow (sin kx) 2))))) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/2 (/ (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))) (pow (sqrt (pow (sin kx) 2)) 2)))))) (+ (* 1/6 (/ 1 (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (pow (sqrt (pow (sin kx) 2)) 3)))))) (/ 1 (sqrt (pow (sin kx) 2))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (pow (sin kx) 2)))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* 1/2 (/ (pow ky 2) (sqrt (pow (sin kx) 2))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sqrt (pow (sin kx) 2)) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (sqrt (pow (sin kx) 2)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2)))) (pow (sqrt (pow (sin kx) 2)) 2))))) (sqrt (pow (sin kx) 2)))))) (* 1/2 (/ 1 (sqrt (pow (sin kx) 2))))))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin kx) 2))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow ky 2) (pow (sin kx) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 2)))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (pow ky 2))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))))) |
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* (sin ky) (sin th)))) |
#s(approx (sin ky) #s(hole binary64 (sin ky))) |
#s(approx (pow (sin ky) 2) #s(hole binary64 (pow (sin ky) 2))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ (* th (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* th (sin ky)))) |
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky))))))) |
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky))))))))) |
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky)))))))))) |
#s(approx (sin th) #s(hole binary64 th)) |
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* -1/6 (pow th 2)))))) |
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))) |
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))))) |
#s(approx th #s(hole binary64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* th (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
#s(approx (sin th) #s(hole binary64 (sin th))) |
| Outputs |
|---|
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (sin.f64 th) (sin.f64 ky)) |
(*.f64 (sin.f64 ky) (sin.f64 th)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 (-.f64 th ky)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 th ky)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (cos.f64 (-.f64 th ky)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 th ky)) #s(literal 2 binary64)) (fma.f64 (/.f64 (cos.f64 (+.f64 th ky)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 th ky)) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 (-.f64 th ky)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 th ky)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 ky th)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (fma.f64 (/.f64 (cos.f64 (+.f64 ky th)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 ky th)) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 ky th)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (cos.f64 (-.f64 th ky)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 th ky)) #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 (+.f64 th ky)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 th ky)) #s(literal 2 binary64)))) (+.f64 (/.f64 (cos.f64 (-.f64 th ky)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 th ky)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 (+.f64 ky th)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 ky th)) #s(literal 2 binary64)))) (+.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 ky th)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th))) |
(-.f64 (/.f64 (cos.f64 (-.f64 th ky)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 th ky)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 ky th)) #s(literal 2 binary64))) |
(sin.f64 th) |
th |
(sin.f64 ky) |
ky |
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64))) |
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/2 binary64)) |
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(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 kx)) |
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(hypot.f64 (neg.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 kx))) |
(hypot.f64 (neg.f64 (sin.f64 ky)) (sin.f64 kx)) |
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(hypot.f64 (neg.f64 (sin.f64 kx)) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
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(hypot.f64 (neg.f64 (sin.f64 kx)) (sin.f64 ky)) |
(hypot.f64 (fabs.f64 (sin.f64 kx)) (pow.f64 (neg.f64 (neg.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
(hypot.f64 (fabs.f64 (sin.f64 kx)) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
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(hypot.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 ky)) |
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(hypot.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) |
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(hypot.f64 (sin.f64 kx) (pow.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
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(hypot.f64 (sin.f64 kx) (neg.f64 (sin.f64 ky))) |
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(hypot.f64 (sin.f64 ky) (neg.f64 (fabs.f64 (sin.f64 kx)))) |
(hypot.f64 (sin.f64 ky) (neg.f64 (sin.f64 kx))) |
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(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
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(sin.f64 kx) |
kx |
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#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) |
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#s(approx (sin kx) kx) |
#s(approx (sin th) th) |
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#s(approx (sin ky) ky) |
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(pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))) #s(literal 1/2 binary64)) |
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(fma.f64 (pow.f64 #s(approx (sin ky) ky) #s(literal 1 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 1 binary64)) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))) |
(fma.f64 (fabs.f64 #s(approx (sin ky) ky)) (fabs.f64 #s(approx (sin ky) ky)) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))) |
(fma.f64 (neg.f64 #s(approx (sin ky) ky)) (neg.f64 #s(approx (sin ky) ky)) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))) |
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(-.f64 #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)) (*.f64 (neg.f64 #s(approx (sin ky) ky)) #s(approx (sin ky) ky))) |
(+.f64 (*.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky)) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))) |
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#s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)) |
(*.f64 (fabs.f64 (fabs.f64 kx)) (fabs.f64 (fabs.f64 kx))) |
(*.f64 (neg.f64 (fabs.f64 kx)) (neg.f64 (fabs.f64 kx))) |
(*.f64 (neg.f64 (neg.f64 kx)) (neg.f64 (neg.f64 kx))) |
(*.f64 (fabs.f64 kx) (fabs.f64 kx)) |
(*.f64 (neg.f64 kx) (neg.f64 kx)) |
(*.f64 kx kx) |
(pow.f64 (fabs.f64 kx) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 kx) #s(literal 2 binary64)) |
(pow.f64 kx #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 kx) kx)) |
(fabs.f64 (*.f64 kx kx)) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 kx)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 kx)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 kx) #s(literal 2 binary64))) |
(*.f64 (pow.f64 #s(approx (sin ky) ky) #s(literal 1 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 1 binary64))) |
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(*.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky)) |
(pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64))) |
#s(literal 2 binary64) |
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(*.f64 #s(approx (sin th) th) (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) |
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(pow.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) |
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(exp.f64 (*.f64 (log.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))) |
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(*.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 kx))) |
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(*.f64 (sin.f64 kx) (sin.f64 kx)) |
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(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 2 binary64)) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
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(/.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64)) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) |
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(-.f64 (/.f64 (cos.f64 (-.f64 kx kx)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 kx kx)) #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) |
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(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sin.f64 kx))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 (sin.f64 kx))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) |
#s(literal 1/2 binary64) |
(*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) |
(neg.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) |
(fma.f64 (*.f64 (sin.f64 (+.f64 kx kx)) #s(literal 0 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
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(*.f64 (+.f64 (cos.f64 kx) (sin.f64 kx)) (-.f64 (cos.f64 kx) (sin.f64 kx))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (+.f64 kx kx)) #s(literal 0 binary64)) (*.f64 (sin.f64 (+.f64 kx kx)) #s(literal 0 binary64))) (*.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)))) (fma.f64 (sin.f64 (+.f64 kx kx)) #s(literal 0 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (cos.f64 (-.f64 kx kx))) |
(sin.f64 (fma.f64 #s(literal -2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64)))) |
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(fma.f64 (sin.f64 (+.f64 kx kx)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64))) |
(fma.f64 (cos.f64 kx) (cos.f64 kx) (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 kx kx)))) |
(-.f64 (*.f64 (sin.f64 (+.f64 kx kx)) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
(cos.f64 (*.f64 #s(literal -2 binary64) kx)) |
(cos.f64 (+.f64 kx kx)) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 kx kx)))) |
(+.f64 (*.f64 (sin.f64 (+.f64 kx kx)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64))) |
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(PI.f64) |
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(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)) |
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(pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1 binary64)) |
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(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) |
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
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(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
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(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)) |
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#s(literal 1 binary64) |
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(cos.f64 (+.f64 kx kx)) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 kx kx)))) |
(+.f64 (*.f64 (sin.f64 (+.f64 kx kx)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 kx) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (neg.f64 kx)) |
(*.f64 #s(literal 2 binary64) kx) |
(*.f64 kx #s(literal 2 binary64)) |
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(fma.f64 #s(literal 1 binary64) kx (*.f64 #s(literal 1 binary64) kx)) |
(fma.f64 kx #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) kx)) |
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#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (fma.f64 (*.f64 (neg.f64 kx) kx) (fma.f64 (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/3 binary64))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal -1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (*.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/3 binary64))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal -1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/3 binary64))) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) #s(literal 1/4 binary64)))) (*.f64 (neg.f64 kx) kx) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/3 binary64))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal -1/4 binary64))) (*.f64 kx kx) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (*.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 ky))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (/.f64 (*.f64 kx kx) (fabs.f64 (sin.f64 ky))) #s(literal 1/2 binary64) (fabs.f64 (sin.f64 ky)))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/3 binary64)) (*.f64 kx kx)) #s(literal 1/2 binary64)) (fabs.f64 (sin.f64 ky))) (*.f64 kx kx) (fabs.f64 (sin.f64 ky)))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (*.f64 kx kx)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64))) (fabs.f64 (sin.f64 ky))) (*.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 ky)))) (*.f64 kx kx) (fabs.f64 (sin.f64 ky)))) |
#s(approx (sin kx) kx) |
#s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)) |
#s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)) |
#s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)) |
#s(approx kx kx) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (fma.f64 (*.f64 (neg.f64 kx) kx) (fma.f64 (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/3 binary64))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal -1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (*.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/3 binary64))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal -1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/3 binary64))) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) #s(literal 1/4 binary64)))) (*.f64 (neg.f64 kx) kx) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/3 binary64))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal -1/4 binary64))) (*.f64 kx kx) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (*.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky)))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (/.f64 (*.f64 (*.f64 kx kx) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (fma.f64 (*.f64 (neg.f64 kx) kx) (fma.f64 (*.f64 (sin.f64 ky) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 kx kx) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 ky) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (sin.f64 ky) (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 ky) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) #s(literal 1/4 binary64)))) (*.f64 (neg.f64 kx) kx) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 ky) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (*.f64 kx kx) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 kx kx) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky))))) |
#s(approx (/ ky (fabs (sin kx))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) |
#s(approx (fabs (sin kx)) (fabs.f64 (sin.f64 kx))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 ky))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (/.f64 (*.f64 kx kx) (fabs.f64 (sin.f64 ky))) #s(literal 1/2 binary64) (fabs.f64 (sin.f64 ky)))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/3 binary64)) (*.f64 kx kx)) #s(literal 1/2 binary64)) (fabs.f64 (sin.f64 ky))) (*.f64 kx kx) (fabs.f64 (sin.f64 ky)))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (*.f64 kx kx)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal -1/2 binary64) #s(literal -1/6 binary64))) (fabs.f64 (sin.f64 ky))) (*.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 ky)))) (*.f64 kx kx) (fabs.f64 (sin.f64 ky)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (*.f64 kx kx))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))) |
#s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)) |
#s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx))) |
#s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx))) |
#s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 kx kx) #s(literal 2/45 binary64)) (*.f64 kx kx) #s(literal -1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx))) |
#s(approx (* kx kx) (*.f64 kx kx)) |
#s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
#s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (-.f64 (fma.f64 (neg.f64 kx) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (-.f64 (fma.f64 kx (-.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) kx) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (-.f64 (fma.f64 kx (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) kx) #s(literal 2/3 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))) kx) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2)))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2)))) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) kx (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2)))) (fma.f64 kx (fma.f64 (sin.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) kx (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2)))) (fma.f64 kx (fma.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) kx) (sin.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))) kx (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (sin (+ (* 2 kx) (/ (PI) 2))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
#s(approx (sin (+ (* 2 kx) (/ (PI) 2))) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (+.f64 kx kx) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
#s(approx (sin (+ (* 2 kx) (/ (PI) 2))) (fma.f64 kx (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) kx) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
#s(approx (sin (+ (* 2 kx) (/ (PI) 2))) (fma.f64 (fma.f64 kx (fma.f64 #s(literal -4/3 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) kx) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -2 binary64))) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 2 binary64))) kx (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
#s(approx (+ (* 2 kx) (/ (PI) 2)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
#s(approx (+ (* 2 kx) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 kx kx))) |
#s(approx (fabs (sin kx)) (*.f64 #s(literal 1 binary64) kx)) |
#s(approx (fabs (sin kx)) (*.f64 (fma.f64 (*.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx)) |
#s(approx (fabs (sin kx)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/30 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)) |
#s(approx (fabs (sin kx)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/1260 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/30 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)) |
#s(approx (sqrt (- 1 (cos (+ kx kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx)) |
#s(approx (sqrt (- 1 (cos (+ kx kx)))) (*.f64 (fma.f64 (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/3 binary64) (sqrt.f64 #s(literal 2 binary64))) kx)) |
#s(approx (sqrt (- 1 (cos (+ kx kx)))) (*.f64 (fma.f64 (*.f64 kx kx) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/30 binary64) (*.f64 kx kx))) #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx)) |
#s(approx (sqrt (- 1 (cos (+ kx kx)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/1260 binary64) (*.f64 kx kx)) #s(literal 1/60 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 kx kx) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 kx kx) (sqrt.f64 #s(literal 2 binary64))) kx)) |
#s(approx (- 1 (cos (+ kx kx))) (*.f64 kx (+.f64 kx kx))) |
#s(approx (- 1 (cos (+ kx kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))) |
#s(approx (- 1 (cos (+ kx kx))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 4/45 binary64) (*.f64 kx kx)) #s(literal 2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))) |
#s(approx (- 1 (cos (+ kx kx))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/315 binary64) (*.f64 kx kx) #s(literal 4/45 binary64)) (*.f64 kx kx)) #s(literal 2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))) |
#s(approx (sin (+ (* 2 kx) (/ (PI) 2))) #s(literal 1 binary64)) |
#s(approx (sin (+ (* 2 kx) (/ (PI) 2))) (fma.f64 #s(literal -2 binary64) (*.f64 kx kx) #s(literal 1 binary64))) |
#s(approx (sin (+ (* 2 kx) (/ (PI) 2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 kx kx) #s(literal -2 binary64)) (*.f64 kx kx) #s(literal 1 binary64))) |
#s(approx (sin (+ (* 2 kx) (/ (PI) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 kx kx) #s(literal 2/3 binary64)) (*.f64 kx kx) #s(literal -2 binary64)) (*.f64 kx kx) #s(literal 1 binary64))) |
#s(approx (+ kx kx) (+.f64 kx kx)) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
#s(approx (sin kx) (sin.f64 kx)) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) |
#s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
#s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 kx kx)))))) |
#s(approx (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2)))) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 kx kx))) #s(literal 1/2 binary64))) |
#s(approx (sin (+ (* 2 kx) (/ (PI) 2))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 kx kx)))) |
#s(approx (+ (* 2 kx) (/ (PI) 2)) (+.f64 kx kx)) |
#s(approx (+ (* 2 kx) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) kx) #s(literal 1/2 binary64) #s(literal 2 binary64)) kx)) |
#s(approx (fabs (sin kx)) (fabs.f64 (sin.f64 kx))) |
#s(approx (sqrt (- 1 (cos (+ kx kx)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) |
#s(approx (- 1 (cos (+ kx kx))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) |
#s(approx (sin (+ (* 2 kx) (/ (PI) 2))) (cos.f64 (+.f64 kx kx))) |
#s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 kx kx)))))) |
#s(approx (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2)))) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 kx kx))) #s(literal 1/2 binary64))) |
#s(approx (sin (+ (* 2 kx) (/ (PI) 2))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 kx kx)))) |
#s(approx (+ (* 2 kx) (/ (PI) 2)) (*.f64 (neg.f64 kx) (fma.f64 (/.f64 (PI.f64) kx) #s(literal -1/2 binary64) #s(literal -2 binary64)))) |
#s(approx (fabs (sin kx)) (fabs.f64 (sin.f64 kx))) |
#s(approx (sqrt (- 1 (cos (+ kx kx)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) |
#s(approx (- 1 (cos (+ kx kx))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) |
#s(approx (sin (+ (* 2 kx) (/ (PI) 2))) (cos.f64 (+.f64 kx kx))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (fma.f64 (-.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal 1/120 binary64)) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sin.f64 th) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/3 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sin.f64 th) (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal 1/120 binary64)) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sin.f64 th) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (*.f64 ky ky) (/.f64 (*.f64 (sin.f64 th) #s(literal 1/120 binary64)) (fabs.f64 (sin.f64 kx)))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sin.f64 th) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) |
#s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 th)) ky)) |
#s(approx (* (sin th) (sin ky)) (*.f64 (fma.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 ky ky) (sin.f64 th)) ky)) |
#s(approx (* (sin th) (sin ky)) (*.f64 ky (fma.f64 (fma.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 ky ky) (*.f64 (sin.f64 th) #s(literal -1/6 binary64))) (*.f64 ky ky) (sin.f64 th)))) |
#s(approx (sin ky) ky) |
#s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) |
#s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) |
#s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) |
#s(approx ky ky) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (/.f64 (*.f64 ky ky) (fabs.f64 (sin.f64 kx))) #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx)))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/3 binary64)) (*.f64 ky ky)) #s(literal 1/2 binary64)) (fabs.f64 (sin.f64 kx))) (*.f64 ky ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (*.f64 ky ky)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64))) (fabs.f64 (sin.f64 kx))) (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx)))) (*.f64 ky ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (fma.f64 (-.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal 1/120 binary64)) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sin.f64 th) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/6 binary64) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/3 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sin.f64 th) (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal 1/120 binary64)) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sin.f64 th) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (*.f64 ky ky) (/.f64 (*.f64 (sin.f64 th) #s(literal 1/120 binary64)) (fabs.f64 (sin.f64 kx)))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sin.f64 th) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 ky ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx))))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (+.f64 (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/5040 binary64) (fabs.f64 (sin.f64 kx)))) (*.f64 (neg.f64 ky) ky) (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx))))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))) ky)) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (/.f64 (*.f64 ky ky) (fabs.f64 (sin.f64 kx))) #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx)))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/3 binary64)) (*.f64 ky ky)) #s(literal 1/2 binary64)) (fabs.f64 (sin.f64 kx))) (*.f64 ky ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (*.f64 ky ky)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64))) (fabs.f64 (sin.f64 kx))) (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx)))) (*.f64 ky ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 ky ky))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky)))) |
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))) |
#s(approx (pow (sin ky) 2) (*.f64 ky ky)) |
#s(approx (pow (sin ky) 2) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky))) |
#s(approx (pow (sin ky) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky))) |
#s(approx (pow (sin ky) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) (*.f64 ky ky) #s(literal -1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky))) |
#s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) (sin.f64 ky))) |
#s(approx (sin ky) (sin.f64 ky)) |
#s(approx (pow (sin ky) 2) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th)) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 th th) (/.f64 (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (*.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th)) |
#s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) |
#s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) |
#s(approx (* (sin th) (sin ky)) (*.f64 (fma.f64 (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 th th) (sin.f64 ky)) th)) |
#s(approx (* (sin th) (sin ky)) (*.f64 th (fma.f64 (fma.f64 (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 th th) (*.f64 (sin.f64 ky) #s(literal -1/6 binary64))) (*.f64 th th) (sin.f64 ky)))) |
#s(approx (sin th) th) |
#s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) |
#s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) |
#s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) |
#s(approx th th) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th)) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 th th) (/.f64 (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (*.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th)) |
#s(approx (sin th) (sin.f64 th)) |
Compiled 6 515 to 2 487 computations (61.8% saved)
99 alts after pruning (86 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 450 | 28 | 478 |
| Fresh | 7 | 58 | 65 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 10 | 10 |
| Total | 459 | 99 | 558 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 95.8% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
| 75.5% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 (sqrt.f64 (+.f64 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky))) (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))))) (sqrt.f64 #s(literal 2 binary64)))) | |
| 42.4% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fabs.f64 (sin.f64 kx)))) | |
| 45.6% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 ky)))) | |
| 16.8% | (/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) | |
| 31.7% | (/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))))) | |
| 48.4% | (/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) | |
| ✓ | 99.6% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) |
| 51.0% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))) | |
| 53.8% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) | |
| 59.1% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) #s(approx (sin ky) ky)) | |
| 53.1% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky))) (sin.f64 ky)) | |
| 75.7% | (*.f64 (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (+.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky))) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx))))) (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 ky)) | |
| 75.7% | (*.f64 (/.f64 (sin.f64 th) (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64)))) (sin.f64 ky)) | |
| 40.0% | (*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 ky)) | |
| 43.8% | (*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) | |
| ✓ | 99.6% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
| ✓ | 38.2% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th)) |
| 22.0% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) | |
| ✓ | 93.1% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 48.2% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th)) | |
| 84.3% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (cos.f64 kx) (sin.f64 kx)) (-.f64 (cos.f64 kx) (sin.f64 kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| ✓ | 84.3% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 28.0% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) | |
| 19.7% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal 1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))))) #s(approx (sin th) th)) | |
| 17.1% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky)))))) #s(approx (sin th) th)) | |
| 19.9% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 ky ky))))) #s(approx (sin th) th)) | |
| 75.8% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) (sin.f64 th)) | |
| 17.9% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (sin.f64 th)) | |
| 17.7% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (sin.f64 th)) | |
| 12.9% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) | |
| 17.4% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 #s(approx (+ (* 2 kx) (/ (PI) 2)) (+.f64 kx kx)))))))) #s(approx (sin th) th)) | |
| 13.0% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 #s(approx (+ (* 2 kx) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) kx) #s(literal 1/2 binary64) #s(literal 2 binary64)) kx)))))))) #s(approx (sin th) th)) | |
| 27.5% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)) | |
| ✓ | 31.1% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
| ✓ | 16.9% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
| 10.4% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) (sin.f64 th)) | |
| 9.8% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) #s(approx (sin th) th)) | |
| 2.0% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)))))) #s(approx (sin th) th)) | |
| 14.6% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) | |
| 13.5% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)))))) #s(approx (sin th) th)) | |
| 13.9% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) | |
| 6.0% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) | |
| 31.0% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) | |
| 13.5% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 (neg.f64 (sin.f64 kx))) (sqrt.f64 (neg.f64 (sin.f64 kx)))))) (sin.f64 th)) | |
| 24.6% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) kx)))))))) (sin.f64 th)) | |
| ✓ | 31.0% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
| 16.6% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) | |
| 19.4% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (- 1 (cos (+ kx kx))) (*.f64 kx (+.f64 kx kx))))))) (sin.f64 th)) | |
| 22.9% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (- 1 (cos (+ kx kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx))))) (sin.f64 th)) | |
| ✓ | 43.7% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
| 22.5% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) | |
| 23.0% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) | |
| 51.7% | (*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) | |
| 52.1% | (*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) | |
| 28.0% | (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) #s(literal 2 binary64))))) (sin.f64 th)) | |
| 18.4% | (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th)) | |
| 30.3% | (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(literal 2 binary64))))) (sin.f64 th)) | |
| 9.7% | (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) | |
| 13.4% | (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) | |
| 37.0% | (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) | |
| 62.3% | (*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)) | |
| 32.8% | (*.f64 (/.f64 #s(approx (sin ky) ky) (*.f64 (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))) #s(literal 1/4 binary64)))) (sin.f64 th)) | |
| 20.1% | (*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) | |
| 20.2% | (*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) | |
| 32.2% | (*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th)) | |
| 27.5% | (*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))))) (sin.f64 th)) | |
| 4.0% | (*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)) | |
| 14.0% | (*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) | |
| 31.7% | (*.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (*.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th)) | |
| 33.0% | (*.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))))) | |
| 51.7% | (*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)) (sin.f64 ky)) | |
| 52.1% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(approx (sin th) th)) | |
| 22.2% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky)))) #s(approx (sin th) th)) | |
| 30.2% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))) (sin.f64 th)) | |
| 16.8% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) | |
| 18.7% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))) (sin.f64 th)) | |
| 14.0% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))) #s(approx (sin th) th)) | |
| 15.3% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 #s(approx (sin kx) kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) | |
| 25.3% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th)) | |
| 26.5% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx))))) (sin.f64 th)) | |
| 0.0% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))) (sqrt.f64 (neg.f64 #s(approx (sin kx) kx)))))) #s(approx (sin th) th)) | |
| 15.3% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(approx (sin kx) kx)) (sqrt.f64 #s(approx (sin kx) kx))))) #s(approx (sin th) th)) | |
| 13.9% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) | |
| 13.7% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))))) #s(approx (sin th) th)) | |
| ✓ | 37.6% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
| 19.5% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) | |
| 19.4% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) | |
| ✓ | 19.8% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th)) |
| 21.9% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) | |
| 15.1% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) | |
| 21.9% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) | |
| 15.1% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) | |
| 21.9% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) | |
| 15.1% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) | |
| 22.1% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) | |
| ✓ | 15.3% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) #s(approx (sin th) th)) |
| 13.6% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) | |
| 36.4% | #s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
Compiled 3 685 to 2 633 computations (28.5% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(approx (sin kx) kx)) (sqrt.f64 #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))) (sqrt.f64 (neg.f64 #s(approx (sin kx) kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 #s(approx (sin kx) kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)))))) #s(approx (sin th) th)) |
(*.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))))) |
(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (*.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))))) (sin.f64 th)) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky)))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (- 1 (cos (+ kx kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 #s(approx (+ (* 2 kx) (/ (PI) 2)) (+.f64 kx kx)))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (- 1 (cos (+ kx kx))) (*.f64 kx (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) #s(approx (sin ky) ky)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 ky ky))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 #s(approx (+ (* 2 kx) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) kx) #s(literal 1/2 binary64) #s(literal 2 binary64)) kx)))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (*.f64 (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))) #s(literal 1/4 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) #s(literal 2 binary64))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 ky)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fabs.f64 (sin.f64 kx)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal 1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 kx kx (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) kx)))))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 (neg.f64 (sin.f64 kx))) (sqrt.f64 (neg.f64 (sin.f64 kx)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (+.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky))) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx))))) (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 (sqrt.f64 (+.f64 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky))) (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) #s(literal 1/2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (cos.f64 kx) (sin.f64 kx)) (-.f64 (cos.f64 kx) (sin.f64 kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) |
9 calls:
| 103.0ms | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 86.0ms | (sin.f64 kx) |
| 83.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 82.0ms | th |
| 44.0ms | kx |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (sin.f64 th) |
| 99.6% | 1 | (sin.f64 kx) |
| 99.6% | 1 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 99.6% | 1 | (sin.f64 ky) |
| 99.6% | 1 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 99.6% | 1 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 99.6% | 1 | kx |
| 99.6% | 1 | ky |
| 99.6% | 1 | th |
Compiled 40 to 51 computations (-27.5% saved)
| Inputs |
|---|
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(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
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(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal 1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 kx kx (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) kx)))))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 (neg.f64 (sin.f64 kx))) (sqrt.f64 (neg.f64 (sin.f64 kx)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
9 calls:
| 98.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 93.0ms | ky |
| 55.0ms | th |
| 53.0ms | (sin.f64 ky) |
| 38.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (sin.f64 th) |
| 99.6% | 1 | (sin.f64 kx) |
| 99.6% | 1 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 99.6% | 1 | (sin.f64 ky) |
| 99.6% | 1 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 99.6% | 1 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 99.6% | 1 | kx |
| 99.6% | 1 | ky |
| 99.6% | 1 | th |
Compiled 40 to 51 computations (-27.5% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(approx (sin kx) kx)) (sqrt.f64 #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))) (sqrt.f64 (neg.f64 #s(approx (sin kx) kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 #s(approx (sin kx) kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)))))) #s(approx (sin th) th)) |
(*.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))))) |
(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (*.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))))) (sin.f64 th)) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky)))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (- 1 (cos (+ kx kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 #s(approx (+ (* 2 kx) (/ (PI) 2)) (+.f64 kx kx)))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (- 1 (cos (+ kx kx))) (*.f64 kx (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) #s(approx (sin ky) ky)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 ky ky))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 #s(approx (+ (* 2 kx) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) kx) #s(literal 1/2 binary64) #s(literal 2 binary64)) kx)))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (*.f64 (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))) #s(literal 1/4 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) #s(literal 2 binary64))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 ky)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fabs.f64 (sin.f64 kx)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal 1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 kx kx (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) kx)))))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 (neg.f64 (sin.f64 kx))) (sqrt.f64 (neg.f64 (sin.f64 kx)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))))) #s(approx (sin th) th)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)) |
9 calls:
| 94.0ms | (sin.f64 ky) |
| 82.0ms | (sin.f64 th) |
| 35.0ms | ky |
| 32.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 31.0ms | th |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.5% | 3 | (sin.f64 th) |
| 77.5% | 5 | (sin.f64 kx) |
| 73.7% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 76.3% | 3 | (sin.f64 ky) |
| 85.3% | 5 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 72.6% | 4 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 77.2% | 3 | kx |
| 75.0% | 2 | ky |
| 81.5% | 2 | th |
Compiled 40 to 51 computations (-27.5% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) #s(approx (sin th) th)) |
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(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal 1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 kx kx (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) kx)))))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)) (sin.f64 ky)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)) |
1 calls:
| 48.0ms | th |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.5% | 2 | th |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(approx (sin kx) kx)) (sqrt.f64 #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))) (sqrt.f64 (neg.f64 #s(approx (sin kx) kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 #s(approx (sin kx) kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)))))) #s(approx (sin th) th)) |
(*.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))))) |
(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (*.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))))) (sin.f64 th)) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky)))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (- 1 (cos (+ kx kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 #s(approx (+ (* 2 kx) (/ (PI) 2)) (+.f64 kx kx)))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (- 1 (cos (+ kx kx))) (*.f64 kx (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) #s(approx (sin ky) ky)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 ky ky))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 #s(approx (+ (* 2 kx) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) kx) #s(literal 1/2 binary64) #s(literal 2 binary64)) kx)))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (*.f64 (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))) #s(literal 1/4 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) #s(literal 2 binary64))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 ky)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fabs.f64 (sin.f64 kx)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal 1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 kx kx (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) kx)))))))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)) |
1 calls:
| 62.0ms | th |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.3% | 2 | th |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(approx (sin kx) kx)) (sqrt.f64 #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))) (sqrt.f64 (neg.f64 #s(approx (sin kx) kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 #s(approx (sin kx) kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)))))) #s(approx (sin th) th)) |
(*.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))))) |
(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (*.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))))) (sin.f64 th)) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky)))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (- 1 (cos (+ kx kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 #s(approx (+ (* 2 kx) (/ (PI) 2)) (+.f64 kx kx)))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (- 1 (cos (+ kx kx))) (*.f64 kx (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) #s(approx (sin ky) ky)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 ky ky))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 #s(approx (+ (* 2 kx) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) kx) #s(literal 1/2 binary64) #s(literal 2 binary64)) kx)))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (*.f64 (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))) #s(literal 1/4 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) #s(literal 2 binary64))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 ky)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fabs.f64 (sin.f64 kx)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal 1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)) |
2 calls:
| 36.0ms | th |
| 28.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.0% | 5 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 77.6% | 2 | th |
Compiled 13 to 14 computations (-7.7% saved)
| Inputs |
|---|
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(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal 1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx)))) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th)) |
7 calls:
| 29.0ms | th |
| 27.0ms | ky |
| 26.0ms | kx |
| 26.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 26.0ms | (sin.f64 ky) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.9% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 73.6% | 2 | (sin.f64 ky) |
| 73.7% | 2 | ky |
| 66.5% | 3 | kx |
| 62.3% | 1 | th |
| 62.3% | 1 | (sin.f64 th) |
| 73.6% | 2 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 23 to 34 computations (-47.8% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(approx (sin kx) kx)) (sqrt.f64 #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))) (sqrt.f64 (neg.f64 #s(approx (sin kx) kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 #s(approx (sin kx) kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)))))) #s(approx (sin th) th)) |
(*.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))))) |
(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (*.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))))) (sin.f64 th)) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky)))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (- 1 (cos (+ kx kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 #s(approx (+ (* 2 kx) (/ (PI) 2)) (+.f64 kx kx)))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (- 1 (cos (+ kx kx))) (*.f64 kx (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) #s(approx (sin ky) ky)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 ky ky))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 #s(approx (+ (* 2 kx) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) kx) #s(literal 1/2 binary64) #s(literal 2 binary64)) kx)))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (*.f64 (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))) #s(literal 1/4 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) #s(literal 2 binary64))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 ky)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fabs.f64 (sin.f64 kx)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal 1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))))) #s(approx (sin th) th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) #s(approx (sin ky) ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th)) |
1 calls:
| 21.0ms | ky |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.6% | 2 | ky |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(approx (sin kx) kx)) (sqrt.f64 #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))) (sqrt.f64 (neg.f64 #s(approx (sin kx) kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 #s(approx (sin kx) kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)))))) #s(approx (sin th) th)) |
(*.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))))) |
(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (*.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))))) (sin.f64 th)) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky)))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (- 1 (cos (+ kx kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 #s(approx (+ (* 2 kx) (/ (PI) 2)) (+.f64 kx kx)))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (- 1 (cos (+ kx kx))) (*.f64 kx (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) #s(approx (sin ky) ky)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 ky ky))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 #s(approx (+ (* 2 kx) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) kx) #s(literal 1/2 binary64) #s(literal 2 binary64)) kx)))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (*.f64 (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))) #s(literal 1/4 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) #s(literal 2 binary64))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
| Outputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)) |
3 calls:
| 49.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 19.0ms | (sin.f64 ky) |
| 19.0ms | ky |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.5% | 2 | (sin.f64 ky) |
| 73.5% | 2 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 73.5% | 2 | ky |
Compiled 15 to 18 computations (-20% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(approx (sin kx) kx)) (sqrt.f64 #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))) (sqrt.f64 (neg.f64 #s(approx (sin kx) kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 #s(approx (sin kx) kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)))))) #s(approx (sin th) th)) |
(*.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))))) |
(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (*.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))))) (sin.f64 th)) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky)))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (- 1 (cos (+ kx kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 #s(approx (+ (* 2 kx) (/ (PI) 2)) (+.f64 kx kx)))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (- 1 (cos (+ kx kx))) (*.f64 kx (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) #s(approx (sin ky) ky)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 ky ky))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 #s(approx (+ (* 2 kx) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) kx) #s(literal 1/2 binary64) #s(literal 2 binary64)) kx)))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (*.f64 (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))) #s(literal 1/4 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) #s(literal 2 binary64))))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky)))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)) |
5 calls:
| 58.0ms | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 42.0ms | ky |
| 18.0ms | (sin.f64 kx) |
| 18.0ms | (sin.f64 ky) |
| 17.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.3% | 1 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 62.3% | 1 | (sin.f64 kx) |
| 62.3% | 1 | ky |
| 67.9% | 2 | (sin.f64 ky) |
| 67.9% | 2 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 32 to 35 computations (-9.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(approx (sin kx) kx)) (sqrt.f64 #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))) (sqrt.f64 (neg.f64 #s(approx (sin kx) kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 #s(approx (sin kx) kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)))))) #s(approx (sin th) th)) |
(*.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))))) |
(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (*.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))))) (sin.f64 th)) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky)))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (- 1 (cos (+ kx kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 #s(approx (+ (* 2 kx) (/ (PI) 2)) (+.f64 kx kx)))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (- 1 (cos (+ kx kx))) (*.f64 kx (+.f64 kx kx))))))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky)))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
9 calls:
| 58.0ms | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 19.0ms | ky |
| 19.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 17.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 16.0ms | th |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.7% | 3 | ky |
| 48.2% | 3 | (sin.f64 kx) |
| 43.2% | 3 | th |
| 42.5% | 3 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 41.9% | 3 | (sin.f64 th) |
| 48.2% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 48.2% | 2 | kx |
| 51.2% | 3 | (sin.f64 ky) |
| 57.7% | 4 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 40 to 51 computations (-27.5% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(approx (sin kx) kx)) (sqrt.f64 #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))) (sqrt.f64 (neg.f64 #s(approx (sin kx) kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 #s(approx (sin kx) kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)))))) #s(approx (sin th) th)) |
(*.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))))) |
(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (*.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))))) (sin.f64 th)) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky)))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (- 1 (cos (+ kx kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 #s(approx (+ (* 2 kx) (/ (PI) 2)) (+.f64 kx kx)))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (fabs.f64 (sin.f64 ky)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
1 calls:
| 16.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.7% | 4 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 12 to 11 computations (8.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(approx (sin kx) kx)) (sqrt.f64 #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))) (sqrt.f64 (neg.f64 #s(approx (sin kx) kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 #s(approx (sin kx) kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)))))) #s(approx (sin th) th)) |
(*.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))))) |
(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (*.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))))) (sin.f64 th)) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
1 calls:
| 9.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.7% | 3 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 12 to 11 computations (8.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(approx (sin kx) kx)) (sqrt.f64 #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))) (sqrt.f64 (neg.f64 #s(approx (sin kx) kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 #s(approx (sin kx) kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)))))) #s(approx (sin th) th)) |
(*.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))))) |
(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (*.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))))) (sin.f64 th)) |
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
#s(approx (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
| Outputs |
|---|
#s(approx (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))) |
(*.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
2 calls:
| 11.0ms | ky |
| 9.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.4% | 2 | ky |
| 51.3% | 3 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 13 to 14 computations (-7.7% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(approx (sin kx) kx)) (sqrt.f64 #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))) (sqrt.f64 (neg.f64 #s(approx (sin kx) kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 #s(approx (sin kx) kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)))))) #s(approx (sin th) th)) |
(*.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))))) |
(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (pow (sin kx) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (exp.f64 (*.f64 (log.f64 #s(approx (sin ky) ky)) #s(literal 2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (exp.f64 (*.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))) #s(literal 1/2 binary64)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))))) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(approx (sin th) th)) |
9 calls:
| 13.0ms | (sin.f64 th) |
| 13.0ms | (sin.f64 ky) |
| 12.0ms | ky |
| 11.0ms | kx |
| 9.0ms | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.0% | 1 | (sin.f64 th) |
| 34.8% | 2 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 33.0% | 1 | th |
| 36.4% | 2 | ky |
| 36.9% | 3 | (sin.f64 kx) |
| 36.9% | 2 | kx |
| 36.8% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 36.2% | 2 | (sin.f64 ky) |
| 39.8% | 4 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 40 to 51 computations (-27.5% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(approx (sin kx) kx)) (sqrt.f64 #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))) (sqrt.f64 (neg.f64 #s(approx (sin kx) kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 #s(approx (sin kx) kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)))))) #s(approx (sin th) th)) |
(*.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))))) |
(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) (-.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))))) #s(approx (sin th) th)) |
| Outputs |
|---|
(*.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(approx (- 1/2 (* 1/2 (sin (+ (* 2 kx) (/ (PI) 2))))) (*.f64 kx kx)))))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th)) |
1 calls:
| 30.0ms | kx |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.8% | 2 | kx |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(approx (sin kx) kx)) (sqrt.f64 #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))) (sqrt.f64 (neg.f64 #s(approx (sin kx) kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 #s(approx (sin kx) kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (+ kx kx))) #s(literal 1/2 binary64)))))) #s(approx (sin th) th)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th)) |
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
9 calls:
| 12.0ms | (sin.f64 kx) |
| 9.0ms | ky |
| 4.0ms | kx |
| 4.0ms | (sin.f64 ky) |
| 4.0ms | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.9% | 3 | (sin.f64 th) |
| 27.9% | 2 | th |
| 26.6% | 3 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 29.0% | 4 | (sin.f64 kx) |
| 28.0% | 2 | (sin.f64 ky) |
| 28.2% | 2 | ky |
| 31.6% | 4 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 26.3% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 29.0% | 3 | kx |
Compiled 40 to 51 computations (-27.5% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(approx (sin kx) kx)) (sqrt.f64 #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))) (sqrt.f64 (neg.f64 #s(approx (sin kx) kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 #s(approx (sin kx) kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) (sin.f64 th)) |
5 calls:
| 8.0ms | ky |
| 4.0ms | kx |
| 4.0ms | (sin.f64 ky) |
| 3.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 3.0ms | th |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.3% | 2 | kx |
| 26.9% | 2 | th |
| 25.9% | 2 | (sin.f64 ky) |
| 25.9% | 2 | ky |
| 25.4% | 3 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 17 to 24 computations (-41.2% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(approx (sin kx) kx)) (sqrt.f64 #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))) (sqrt.f64 (neg.f64 #s(approx (sin kx) kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 #s(approx (sin kx) kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th)) |
9 calls:
| 21.0ms | kx |
| 3.0ms | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 3.0ms | (sin.f64 ky) |
| 3.0ms | (sin.f64 kx) |
| 3.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 19.8% | 1 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 19.8% | 1 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 19.8% | 1 | (sin.f64 kx) |
| 19.8% | 1 | (sin.f64 ky) |
| 19.8% | 1 | ky |
| 19.8% | 1 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 19.8% | 1 | kx |
| 19.8% | 1 | (sin.f64 th) |
| 19.8% | 1 | th |
Compiled 40 to 51 computations (-27.5% saved)
Total -9.8b remaining (-18.1%)
Threshold costs -9.8b (-18.1%)
| Inputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 #s(approx (sin kx) kx)) (sqrt.f64 #s(approx (sin kx) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (*.f64 (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))) (sqrt.f64 (neg.f64 #s(approx (sin kx) kx)))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (pow.f64 #s(approx (sin kx) kx) #s(literal 1 binary64)))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))) #s(literal 1/2 binary64))))) #s(approx (sin th) th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) #s(approx (sin th) th)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 #s(approx (sin kx) kx)))) #s(approx (sin th) th)) |
9 calls:
| 5.0ms | th |
| 3.0ms | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 3.0ms | (sin.f64 ky) |
| 3.0ms | (sin.f64 kx) |
| 3.0ms | (sin.f64 th) |
| Accuracy | Segments | Branch |
|---|---|---|
| 15.3% | 1 | kx |
| 15.3% | 1 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 15.3% | 1 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 15.3% | 1 | ky |
| 15.3% | 1 | (sin.f64 kx) |
| 15.3% | 1 | (sin.f64 th) |
| 15.3% | 1 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 15.3% | 1 | (sin.f64 ky) |
| 15.3% | 1 | th |
Compiled 40 to 51 computations (-27.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 0.0004734389375063658 | 0.0004952697312582736 |
| 2.0ms | 16× | 0 | valid |
Compiled 50 to 47 computations (6% saved)
ival-sin: 1.0ms (65.2% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)ival-pow2: 0.0ms (0% of total)ival-div!: 0.0ms (0% of total)ival-mult!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0004734389375063658 | 0.0004952697312582736 |
Compiled 56 to 52 computations (7.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0004734389375063658 | 0.0004952697312582736 |
Compiled 52 to 49 computations (5.8% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9926274936138454 | 0.9927765765941416 |
| 0.0ms | 3.989149350549325e-6 | 0.06576225933898426 |
| 0.0ms | -0.367326360265213 | -0.33709613487210166 |
| 0.0ms | -0.9981437009998011 | -0.9980135515534803 |
Compiled 18 to 19 computations (-5.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.9038132852784797 | 20.316862905473656 |
| 16.0ms | 112× | 0 | valid |
Compiled 278 to 249 computations (10.4% saved)
ival-sin: 9.0ms (71.2% of total)ival-pow2: 2.0ms (15.8% of total)ival-sqrt: 1.0ms (7.9% of total)ival-mult!: 1.0ms (7.9% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)ival-div!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 20.316862905473656 | 478390.98223911435 |
| 18.0ms | 128× | 0 | valid |
Compiled 251 to 242 computations (3.6% saved)
ival-sin: 10.0ms (67.3% of total)ival-pow2: 2.0ms (13.5% of total)ival-sqrt: 1.0ms (6.7% of total)ival-div!: 1.0ms (6.7% of total)ival-mult!: 1.0ms (6.7% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.02865415961608281 | 5.640295572748038e-302 |
Compiled 18 to 19 computations (-5.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.02865415961608281 | 5.640295572748038e-302 |
Compiled 18 to 19 computations (-5.6% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000000000000011 | +inf |
| 0.0ms | 3.989149350549325e-6 | 0.06576225933898426 |
| 0.0ms | -0.02865415961608281 | 5.640295572748038e-302 |
Compiled 18 to 19 computations (-5.6% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000000000000011 | +inf |
| 0.0ms | 3.989149350549325e-6 | 0.06576225933898426 |
| 0.0ms | -0.02865415961608281 | 5.640295572748038e-302 |
Compiled 18 to 19 computations (-5.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000000000000011 | +inf |
| 0.0ms | 3.989149350549325e-6 | 0.06576225933898426 |
Compiled 18 to 19 computations (-5.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000000000000011 | +inf |
| 0.0ms | 3.989149350549325e-6 | 0.06576225933898426 |
Compiled 18 to 19 computations (-5.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.15587283902013455 | 3.535908844921484 |
| 16.0ms | 112× | 0 | valid |
Compiled 348 to 326 computations (6.3% saved)
ival-sin: 9.0ms (70.8% of total)ival-pow2: 2.0ms (15.7% of total)ival-sqrt: 1.0ms (7.9% of total)ival-mult!: 1.0ms (7.9% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)ival-div!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.15587283902013455 | 3.535908844921484 |
Compiled 327 to 305 computations (6.7% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000000000000011 | +inf |
| 0.0ms | 3.989149350549325e-6 | 0.06576225933898426 |
| 0.0ms | 1.6220894766906863e-121 | 6.748476335039663e-121 |
Compiled 18 to 19 computations (-5.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 6.661430858410529e+26 | 4.210397653488379e+30 |
| 19.0ms | 128× | 0 | valid |
Compiled 323 to 314 computations (2.8% saved)
ival-sin: 11.0ms (71.6% of total)ival-pow2: 2.0ms (13% of total)ival-sqrt: 1.0ms (6.5% of total)ival-div!: 1.0ms (6.5% of total)ival-mult!: 1.0ms (6.5% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | fuel |
Compiled 383 to 186 computations (51.4% saved)
(negabs th)
(negabs ky)
(abs kx)
Compiled 7 552 to 5 779 computations (23.5% saved)
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