Toniolo and Linder, Equation (3b), real
Time bar (total: 13.3s)
| 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 | 8 256× | 0 | valid |
ival-sin: 663.0ms (63.5% of total)ival-pow2: 170.0ms (16.3% of total)ival-sqrt: 61.0ms (5.8% of total)ival-div: 53.0ms (5.1% of total)ival-mult: 52.0ms (5% of total)ival-add: 36.0ms (3.4% of total)ival-true: 6.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)| 1× | egg-herbie |
| 390× | unsub-neg |
| 362× | times-frac |
| 340× | associate-*l* |
| 334× | associate-*r* |
| 280× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 153 |
| 1 | 101 | 147 |
| 2 | 211 | 147 |
| 3 | 383 | 147 |
| 4 | 831 | 147 |
| 5 | 1949 | 147 |
| 6 | 2504 | 147 |
| 7 | 2781 | 147 |
| 8 | 2893 | 147 |
| 9 | 2943 | 147 |
| 10 | 2958 | 147 |
| 11 | 2958 | 147 |
| 0 | 13 | 16 |
| 0 | 22 | 16 |
| 1 | 28 | 16 |
| 2 | 32 | 16 |
| 3 | 33 | 16 |
| 0 | 33 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| 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)) |
| Outputs |
|---|
(*.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) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(abs kx)
(negabs th)
(negabs ky)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 19 | 0 | - | 2 | (1.4100758629761954e-158 1.8304651542715517e-166 2.3177244895438068e+20) | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (sin.f64 kx) |
| 0 | 0 | - | 0 | - | (sin.f64 th) |
| 0 | 0 | - | 0 | - | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (/.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))))) |
| 0 | 0 | - | 0 | - | th |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.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)) |
| 0 | 0 | - | 0 | - | (sin.f64 ky) |
| 0 | 0 | - | 0 | - | ky |
| 0 | 0 | - | 0 | - | kx |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) | uflow-rescue | 17 | 0 |
| ↳ | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) | underflow | 62 | |
| ↳ | (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) | underflow | 65 | |
| ↳ | (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) | underflow | 17 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 17 | 2 |
| - | 0 | 237 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 17 | 0 | 2 |
| - | 0 | 0 | 237 |
| number | freq |
|---|---|
| 0 | 239 |
| 1 | 17 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 151.0ms | 512× | 0 | valid |
Compiled 174 to 56 computations (67.8% saved)
ival-sin: 33.0ms (42.1% of total)ival-div: 27.0ms (34.4% of total)ival-pow2: 9.0ms (11.5% of total)ival-sqrt: 4.0ms (5.1% of total)ival-mult: 3.0ms (3.8% of total)ival-add: 2.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.0% | (*.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)) |
Compiled 19 to 13 computations (31.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 ky) |
| ✓ | cost-diff | 0 | (/.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))))) |
| ✓ | cost-diff | 0 | (*.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)) |
| ✓ | cost-diff | 7296 | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
| 16× | lower-*.f32 |
| 14× | lower-*.f64 |
| 6× | lift-sin.f64 |
| 6× | *-commutative |
| 6× | lower-sin.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 66 |
| 0 | 22 | 66 |
| 1 | 28 | 66 |
| 2 | 32 | 66 |
| 3 | 33 | 66 |
| 0 | 33 | 51 |
| 1× | iter limit |
| 1× | saturated |
| 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 |
| Outputs |
|---|
(*.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) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(/.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))))) |
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(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)))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(+.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 |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.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 | 99.6% | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.6% | (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
| ✓ | accuracy | 93.4% | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
| 45.0ms | 256× | 0 | valid |
Compiled 68 to 15 computations (77.9% saved)
ival-sin: 25.0ms (70.8% of total)ival-pow2: 4.0ms (11.3% of total)ival-div: 2.0ms (5.7% of total)ival-sqrt: 2.0ms (5.7% of total)ival-add: 1.0ms (2.8% of total)ival-mult: 1.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))> |
#<alt (*.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))> |
#<alt (/.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)))))> |
#<alt (sin.f64 ky)> |
#<alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64))> |
#<alt (pow.f64 (sin.f64 kx) #s(literal 2 binary64))> |
| Outputs |
|---|
#<alt (sin ky)> |
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))> |
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))> |
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sin kx)> |
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))> |
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))> |
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (sin th)> |
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))> |
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))> |
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (/ ky (sin kx))> |
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))> |
#<alt (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))> |
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt ky> |
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))> |
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))> |
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (pow ky 2)> |
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))> |
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))> |
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow kx 2)> |
#<alt (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))> |
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))> |
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))> |
#<alt (pow (sin kx) 2)> |
#<alt (pow (sin kx) 2)> |
#<alt (pow (sin kx) 2)> |
#<alt (pow (sin kx) 2)> |
#<alt (pow (sin kx) 2)> |
#<alt (pow (sin kx) 2)> |
#<alt (pow (sin kx) 2)> |
#<alt (pow (sin kx) 2)> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | ky | @ | 0 | (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) |
| 3.0ms | ky | @ | 0 | (pow (sin ky) 2) |
| 3.0ms | ky | @ | inf | (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) |
| 2.0ms | th | @ | inf | (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) |
| 2.0ms | ky | @ | inf | (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
| 1× | batch-egg-rewrite |
| 4 346× | lower-fma.f64 |
| 4 346× | lower-fma.f32 |
| 3 626× | lower-*.f32 |
| 3 624× | lower-*.f64 |
| 2 248× | lower-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 49 |
| 0 | 22 | 49 |
| 1 | 62 | 49 |
| 2 | 338 | 49 |
| 3 | 2902 | 49 |
| 0 | 8284 | 34 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(*.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) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 1/4 binary64) (*.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 1/4 binary64)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 -1/2 binary64)))) |
(exp.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 -1 binary64)))) |
(exp.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))))))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(hypot.f64 (sin.f64 kx) (neg.f64 (sin.f64 ky))) |
(hypot.f64 (sin.f64 kx) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(hypot.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64))) |
(hypot.f64 (neg.f64 (sin.f64 ky)) (sin.f64 kx)) |
(hypot.f64 (neg.f64 (sin.f64 ky)) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64))) |
(hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (sin.f64 kx)) |
(hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64))) |
(hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)) (sin.f64 ky)) |
(hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)) (neg.f64 (sin.f64 ky))) |
(hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))))) |
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))) |
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 1 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 -1 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.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 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (fma.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (fma.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.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 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.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 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (fma.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (fma.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 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.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 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (fma.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 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 18 binary64)) (pow.f64 (sin.f64 ky) #s(literal 18 binary64)))) (sqrt.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (fma.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 12 binary64)) (pow.f64 (sin.f64 ky) #s(literal 12 binary64))) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 6 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 12 binary64)) (pow.f64 (sin.f64 ky) #s(literal 12 binary64)))) (sqrt.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (fma.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 12 binary64)) (pow.f64 (sin.f64 ky) #s(literal 12 binary64)))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (fma.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 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (fma.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.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 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 2 binary64)) |
(/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))))) #s(literal 2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.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) (fma.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (fma.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 2 binary64)))) |
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(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))))) |
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(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))))) |
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(exp.f64 (+.f64 (log.f64 (sin.f64 ky)) (*.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 -1/2 binary64)))) |
(exp.f64 (+.f64 (log.f64 (sin.f64 ky)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 -1 binary64)))) |
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(exp.f64 (-.f64 (*.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 -1/2 binary64)) (neg.f64 (log.f64 (sin.f64 ky))))) |
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(exp.f64 (-.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))))) (neg.f64 (log.f64 (sin.f64 ky))))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 (neg.f64 (sin.f64 ky)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))) (sin.f64 ky)))) |
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 (neg.f64 (sin.f64 ky)) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))) (sin.f64 ky))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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 binary64) (sin.f64 ky))) |
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))) (neg.f64 (sin.f64 ky)))) |
(/.f64 (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 1/4 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 1/4 binary64))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 ky)) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))))) |
(pow.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))) (sin.f64 ky)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))) (sin.f64 ky)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))) (sin.f64 ky))) #s(literal -1/2 binary64)) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 1 binary64)) |
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (neg.f64 (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (-.f64 #s(literal 1 binary64) (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 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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 (sin.f64 ky) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 1/4 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 -1/4 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 1/4 binary64))) (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 1/4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 1/4 binary64)) (sin.f64 ky)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 -1/4 binary64)) (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 1/4 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 1/2 binary64)) (pow.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (fma.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.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 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 1/4 binary64)) (sqrt.f64 (sin.f64 ky))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 1/4 binary64)) (sqrt.f64 (sin.f64 ky))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (sin.f64 ky))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 ky))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (sin.f64 ky))) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 (neg.f64 (log.f64 (sin.f64 ky))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 ky))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
(sin.f64 ky) |
(neg.f64 (neg.f64 (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) |
(pow.f64 (sin.f64 ky) #s(literal 1 binary64)) |
(pow.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 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (sin.f64 ky)))) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sin.f64 ky))) |
(*.f64 (sin.f64 ky) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 ky)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 ky))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky))) |
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(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (sin.f64 ky)))) |
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.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)))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (sin.f64 ky)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (sin.f64 ky))) #s(literal 4 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 (cos.f64 (+.f64 ky ky)) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (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))))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (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))))) |
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 (+.f64 ky ky))))) (exp.f64 (log.f64 #s(literal 2 binary64)))) |
(pow.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 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 ky))) |
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (sin.f64 ky))) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky)))) |
(*.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)))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 ky))) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) (sqrt.f64 (sin.f64 ky))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (sin.f64 ky))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.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)))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 kx)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (sin.f64 kx)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.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)))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (+.f64 kx kx)) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) |
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 (+.f64 kx kx))))) (exp.f64 (log.f64 #s(literal 2 binary64)))) |
(pow.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 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 4 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 kx))) |
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (sin.f64 kx))) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 kx)))) |
(*.f64 (sin.f64 kx) (sin.f64 kx)) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) (sqrt.f64 (sin.f64 kx))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (sin.f64 kx))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64))) |
| 1× | egg-herbie |
| 14 278× | lower-fma.f64 |
| 14 278× | lower-fma.f32 |
| 6 260× | lower-*.f64 |
| 6 260× | lower-*.f32 |
| 5 352× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 317 | 2263 |
| 1 | 1011 | 2214 |
| 2 | 3860 | 2122 |
| 3 | 7803 | 2122 |
| 0 | 8106 | 1974 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sin ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky)))))) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sin kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(/ (* ky (sin th)) (sin kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(sin th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(/ ky (sin kx)) |
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
1 |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
ky |
(* ky (+ 1 (* -1/6 (pow ky 2)))) |
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) |
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(pow ky 2) |
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(pow kx 2) |
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))) |
(pow (sin kx) 2) |
(pow (sin kx) 2) |
(pow (sin kx) 2) |
(pow (sin kx) 2) |
(pow (sin kx) 2) |
(pow (sin kx) 2) |
(pow (sin kx) 2) |
(pow (sin kx) 2) |
| Outputs |
|---|
(sin ky) |
(sin.f64 ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky)) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky)))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (/.f64 (*.f64 kx kx) (sin.f64 ky)) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky)) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
(fma.f64 kx (*.f64 kx (fma.f64 kx (*.f64 kx (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 ky)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin kx) |
(sin.f64 kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx)) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(fma.f64 (*.f64 ky ky) (fma.f64 ky (*.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 ky ky) (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 kx)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (fma.f64 ky (/.f64 (*.f64 ky (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (*.f64 ky ky) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 th) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)))))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (fma.f64 ky (/.f64 (*.f64 ky (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (*.f64 ky ky) (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (*.f64 (sin.f64 kx) (sin.f64 th))) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))) #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) #s(literal -1/12 binary64))) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal -1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/5040 binary64)))) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(sin th) |
(sin.f64 th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 th)) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) (sin.f64 th)) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (*.f64 (sin.f64 th) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) th)) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 th th) #s(literal 1/120 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)))) (*.f64 ky (*.f64 ky ky)) (/.f64 ky (sin.f64 kx))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (sin.f64 kx) (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))) #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) #s(literal -1/12 binary64))) (+.f64 (/.f64 #s(literal -1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal -1/5040 binary64) (sin.f64 kx)))) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)))) (*.f64 ky (*.f64 ky ky)) (/.f64 ky (sin.f64 kx))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(fma.f64 kx (*.f64 kx (fma.f64 (*.f64 kx kx) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1 binary64)) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
ky |
(* ky (+ 1 (* -1/6 (pow ky 2)))) |
(fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) |
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) |
(fma.f64 (*.f64 ky ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) ky) ky) |
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) |
(fma.f64 (*.f64 ky ky) (*.f64 (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) ky) ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(pow ky 2) |
(*.f64 ky ky) |
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) |
(*.f64 ky (fma.f64 (*.f64 ky (*.f64 ky #s(literal -1/3 binary64))) ky ky)) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 ky (*.f64 ky #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) ky) ky) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))) |
(*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow kx 2) |
(*.f64 kx kx) |
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) |
(*.f64 kx (*.f64 kx (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) |
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))) |
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
Compiled 12 721 to 1 671 computations (86.9% saved)
26 alts after pruning (26 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 422 | 26 | 448 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 423 | 26 | 449 |
| Status | Accuracy | Program |
|---|---|---|
| 75.9% | (/.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 binary64) (sin.f64 ky))) | |
| 75.9% | (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) | |
| 28.1% | (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) | |
| 76.0% | (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))) (sin.f64 ky))) | |
| 23.5% | (*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) | |
| 68.5% | (*.f64 (/.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| 79.4% | (*.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (fma.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) | |
| 75.9% | (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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 binary64) (sin.f64 ky))) (sin.f64 th)) | |
| 76.0% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) | |
| 31.2% | (*.f64 (/.f64 (sin.f64 ky) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx))) (sin.f64 th)) | |
| 76.0% | (*.f64 (/.f64 (sin.f64 ky) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 2 binary64)) #s(literal 1/4 binary64))) (sin.f64 th)) | |
| 75.8% | (*.f64 (/.f64 (sin.f64 ky) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 1/4 binary64)) #s(literal 2 binary64))) (sin.f64 th)) | |
| ▶ | 99.6% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
| 37.8% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.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)) | |
| 76.0% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 th)) | |
| ▶ | 44.1% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
| 52.0% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| 33.2% | (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) | |
| 29.9% | (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) | |
| 76.0% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))) (sin.f64 ky))) (sin.f64 th)) | |
| ▶ | 75.9% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) (sin.f64 th)) |
| 75.8% | (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))))) | |
| 90.5% | (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) | |
| 44.7% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) th)) | |
| ▶ | 46.4% | (*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
| ▶ | 29.6% | (sin.f64 th) |
Compiled 1 206 to 846 computations (29.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))) |
| ✓ | cost-diff | 0 | (*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) (sin.f64 th)) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))) |
| ✓ | cost-diff | 192 | (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))) |
| ✓ | cost-diff | 384 | (fma.f64 (-.f64 #s(literal 1 binary64) (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))))) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
| ✓ | cost-diff | 128 | (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)) |
| ✓ | cost-diff | 1024 | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))) |
| ✓ | cost-diff | 0 | (sin.f64 th) |
| ✓ | cost-diff | 0 | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
| ✓ | cost-diff | 0 | (sin.f64 ky) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
| 1 804× | lower-fma.f32 |
| 1 800× | lower-fma.f64 |
| 1 260× | lower-*.f32 |
| 1 240× | lower-*.f64 |
| 538× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 355 |
| 0 | 79 | 355 |
| 1 | 113 | 355 |
| 2 | 188 | 350 |
| 3 | 422 | 340 |
| 4 | 896 | 340 |
| 5 | 1061 | 340 |
| 6 | 1175 | 340 |
| 7 | 1333 | 340 |
| 8 | 1545 | 332 |
| 9 | 1834 | 331 |
| 10 | 2467 | 331 |
| 11 | 2843 | 331 |
| 12 | 2961 | 331 |
| 13 | 2971 | 331 |
| 14 | 2979 | 331 |
| 15 | 2985 | 331 |
| 16 | 2985 | 331 |
| 0 | 2985 | 312 |
| 1× | iter limit |
| 1× | saturated |
| 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 |
(sin.f64 th) |
th |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) |
(sin.f64 ky) |
ky |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))) |
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(sin.f64 kx) |
kx |
#s(literal 2 binary64) |
(*.f64 ky ky) |
(sin.f64 th) |
th |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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 1 binary64) |
(fma.f64 (-.f64 #s(literal 1 binary64) (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 binary64) (cos.f64 (+.f64 kx kx))) |
(cos.f64 (+.f64 kx kx)) |
(+.f64 kx 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) (cos.f64 (+.f64 ky ky))) |
#s(literal -1/2 binary64) |
(cos.f64 (+.f64 ky ky)) |
(+.f64 ky ky) |
ky |
(sin.f64 ky) |
(sin.f64 th) |
th |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
th |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(sin.f64 ky) |
ky |
#s(literal 2 binary64) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(sin.f64 kx) |
kx |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 th th) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(/.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 |
(sin.f64 th) |
th |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx))) |
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) |
(/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) |
(sin.f64 ky) |
ky |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))) |
(hypot.f64 ky (sin.f64 kx)) |
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)) |
(fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(sin.f64 kx) |
kx |
#s(literal 2 binary64) |
(*.f64 ky ky) |
(sin.f64 th) |
th |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal 2 binary64) (cos.f64 (+.f64 kx kx))) (cos.f64 (+.f64 ky ky))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal 2 binary64) (cos.f64 (+.f64 kx kx))) (cos.f64 (+.f64 ky ky)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) |
(sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal 2 binary64) (cos.f64 (+.f64 kx kx))) (cos.f64 (+.f64 ky ky))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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 2 binary64) (-.f64 (-.f64 #s(literal 2 binary64) (cos.f64 (+.f64 kx kx))) (cos.f64 (+.f64 ky ky)))) |
#s(literal 1 binary64) |
(fma.f64 (-.f64 #s(literal 1 binary64) (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))))) |
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) |
(cos.f64 (+.f64 kx kx)) |
(+.f64 kx kx) |
kx |
#s(literal 1/2 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) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) |
#s(literal -1/2 binary64) |
(cos.f64 (+.f64 ky ky)) |
(+.f64 ky ky) |
ky |
(sin.f64 ky) |
(sin.f64 th) |
th |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th))) |
th |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #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 ky) #s(literal 2 binary64)) |
(sin.f64 ky) |
ky |
#s(literal 2 binary64) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(sin.f64 kx) |
kx |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)) |
(*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 th th) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.6% | (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
| ✓ | accuracy | 94.0% | (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)) |
| ✓ | accuracy | 92.8% | (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) |
| ✓ | accuracy | 92.8% | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) |
| ✓ | accuracy | 79.4% | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))) |
| ✓ | accuracy | 74.7% | (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) |
| ✓ | accuracy | 99.7% | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
| ✓ | accuracy | 99.6% | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| ✓ | accuracy | 71.0% | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))) |
| ✓ | accuracy | 100.0% | (sin.f64 th) |
| ✓ | accuracy | 100.0% | (sin.f64 kx) |
| ✓ | accuracy | 99.9% | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
| 144.0ms | 97× | 2 | valid |
| 67.0ms | 84× | 1 | valid |
| 32.0ms | 70× | 0 | valid |
| 8.0ms | 5× | 3 | valid |
Compiled 387 to 45 computations (88.4% saved)
ival-cos: 40.0ms (20.5% of total)ival-add: 35.0ms (18% of total)ival-mult: 31.0ms (15.9% of total)ival-sin: 26.0ms (13.3% of total)adjust: 16.0ms (8.2% of total)ival-div: 11.0ms (5.6% of total)ival-sqrt: 11.0ms (5.6% of total)ival-pow2: 8.0ms (4.1% of total)ival-hypot: 7.0ms (3.6% of total)const: 5.0ms (2.6% of total)ival-sub: 2.0ms (1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))> |
#<alt (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))> |
#<alt (sin.f64 ky)> |
#<alt (hypot.f64 (sin.f64 ky) (sin.f64 kx))> |
#<alt (sin.f64 th)> |
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))> |
#<alt (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))> |
#<alt (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))> |
#<alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))))> |
#<alt (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))> |
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))> |
#<alt (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) (sin.f64 th))> |
#<alt (*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))> |
#<alt (sin.f64 kx)> |
#<alt (pow.f64 (sin.f64 kx) #s(literal 2 binary64))> |
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky))> |
#<alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))> |
#<alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64))> |
| Outputs |
|---|
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (sin th)> |
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))> |
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))> |
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (/ ky (sin kx))> |
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))> |
#<alt (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))> |
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt ky> |
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))> |
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))> |
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin kx)> |
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))> |
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))> |
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sin ky)> |
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))> |
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))> |
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt th> |
#<alt (* th (+ 1 (* -1/6 (pow th 2))))> |
#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))> |
#<alt (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt ky> |
#<alt (+ ky (* 1/2 (/ (pow kx 2) ky)))> |
#<alt (+ ky (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow ky 2))))) ky)) (* 1/2 (/ 1 ky)))))> |
#<alt (+ ky (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) ky)) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) (pow ky 2))))) ky)))) (* 1/2 (/ 1 ky)))))> |
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))> |
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))> |
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))> |
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))> |
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))> |
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))> |
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))> |
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))> |
#<alt (sin kx)> |
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))> |
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/2 (/ 1 (sin kx))))))> |
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow (sin kx) 5))) (* 1/8 (/ 1 (pow (sin kx) 3))))) (* 1/2 (/ 1 (sin kx))))))> |
#<alt ky> |
#<alt (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))> |
#<alt (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))> |
#<alt (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))> |
#<alt (* -1 ky)> |
#<alt (* -1 (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))> |
#<alt (* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))> |
#<alt (* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))))> |
#<alt (pow ky 2)> |
#<alt (+ (pow kx 2) (pow ky 2))> |
#<alt (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow ky 2))> |
#<alt (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow ky 2))> |
#<alt (+ (pow ky 2) (pow (sin kx) 2))> |
#<alt (+ (pow ky 2) (pow (sin kx) 2))> |
#<alt (+ (pow ky 2) (pow (sin kx) 2))> |
#<alt (+ (pow ky 2) (pow (sin kx) 2))> |
#<alt (+ (pow ky 2) (pow (sin kx) 2))> |
#<alt (+ (pow ky 2) (pow (sin kx) 2))> |
#<alt (+ (pow ky 2) (pow (sin kx) 2))> |
#<alt (+ (pow ky 2) (pow (sin kx) 2))> |
#<alt (pow (sin kx) 2)> |
#<alt (+ (pow ky 2) (pow (sin kx) 2))> |
#<alt (+ (pow ky 2) (pow (sin kx) 2))> |
#<alt (+ (pow ky 2) (pow (sin kx) 2))> |
#<alt (pow ky 2)> |
#<alt (* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2))))> |
#<alt (* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2))))> |
#<alt (* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2))))> |
#<alt (pow ky 2)> |
#<alt (* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2))))> |
#<alt (* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2))))> |
#<alt (* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2))))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 3/8 (/ (sin th) (pow (sin kx) 5))))))))) (/ (sin th) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 3/8 (/ (sin th) (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow (sin kx) 7))) (+ (* -1/16 (/ (sin th) (pow (sin kx) 5))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))> |
#<alt (/ (* (sin ky) (sin th)) ky)> |
#<alt (/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky)> |
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky)> |
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky)> |
#<alt (* -1 (/ (* (sin ky) (sin th)) ky))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky))> |
#<alt (/ (* (sin ky) (sin th)) ky)> |
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 3))) (/ (* (sin ky) (sin th)) ky))> |
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (* (sin ky) (sin th)) ky))> |
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8)))))))))) (* 1/2 (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))))) (/ (* (sin ky) (sin th)) ky))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (/ ky (sin kx))> |
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 3/8 (/ 1 (pow (sin kx) 5))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sin kx))) (+ (* 1/240 (/ 1 (pow (sin kx) 3))) (+ (* 1/16 (/ 1 (pow (sin kx) 5))) (* 5/16 (/ 1 (pow (sin kx) 7)))))))) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (* 3/8 (/ 1 (pow (sin kx) 5))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))> |
#<alt (/ (sin ky) ky)> |
#<alt (/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky)> |
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky)> |
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))))) ky)> |
#<alt (* -1 (/ (sin ky) ky))> |
#<alt (* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky))> |
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky))> |
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))))) ky))> |
#<alt (/ (sin ky) ky)> |
#<alt (+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 3))) (/ (sin ky) ky))> |
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))) (/ (sin ky) ky))> |
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8))))))))) (* 1/2 (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (sin ky) ky))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))> |
#<alt (* 1/2 (- 1 (cos (* 2 kx))))> |
#<alt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))> |
#<alt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))))> |
#<alt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))> |
#<alt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))> |
#<alt (+ (* -1 (/ (pow kx 2) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))> |
#<alt (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))> |
#<alt (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))> |
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))> |
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))> |
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))> |
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))> |
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))> |
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))> |
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))> |
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))> |
#<alt (/ 2 (- 1 (cos (* 2 kx))))> |
#<alt (+ (* -4 (/ (pow ky 2) (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))> |
#<alt (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))> |
#<alt (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))> |
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))> |
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))> |
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))> |
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))> |
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))> |
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))> |
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))> |
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))> |
#<alt (pow ky 2)> |
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))> |
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))> |
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))> |
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))> |
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))> |
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))> |
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))> |
#<alt (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))> |
#<alt (+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))> |
#<alt (+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))> |
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))> |
#<alt (* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))> |
#<alt (* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))> |
#<alt (* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
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#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))))> |
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#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))> |
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))> |
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))> |
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))> |
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))> |
#<alt (/ (* ky (* th (+ 1 (* -1/6 (pow th 2))))) (sin kx))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (+ (* -1/12 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/5040 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))> |
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#<alt (* th (+ 1 (* -1/6 (pow th 2))))> |
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 2))) (* th (+ 1 (* -1/6 (pow th 2)))))> |
#<alt (+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))> |
#<alt (+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))> |
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#<alt (* ky (+ (* -1/6 (/ (pow th 2) (sin kx))) (/ 1 (sin kx))))> |
#<alt (* ky (+ (* -1/6 (/ (pow th 2) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (* -1/6 (/ (+ 1 (* -1/6 (pow th 2))) (sin kx))))) (/ 1 (sin kx)))))> |
#<alt (* ky (+ (* -1/6 (/ (pow th 2) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (+ (* -1/6 (/ (+ 1 (* -1/6 (pow th 2))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (+ 1 (* -1/6 (pow th 2))) (sin kx))) (+ (* 1/12 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ 1 (sin kx)))))> |
#<alt (* ky (+ (* -1/6 (/ (pow th 2) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (+ (* -1/6 (/ (+ 1 (* -1/6 (pow th 2))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (+ 1 (* -1/6 (pow th 2))) (sin kx))) (+ (* 1/12 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (* -1/5040 (/ (+ 1 (* -1/6 (pow th 2))) (sin kx)))))))))))))) (/ 1 (sin kx)))))> |
#<alt (* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
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#<alt (* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (+ 1 (* -1/6 (pow th 2)))> |
#<alt (+ 1 (+ (* -1/2 (/ (* (pow kx 2) (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* -1/6 (pow th 2))))> |
#<alt (+ 1 (+ (* -1/6 (pow th 2)) (* (pow kx 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))> |
#<alt (+ 1 (+ (* -1/6 (pow th 2)) (* (pow kx 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))> |
#<alt (* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
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#<alt (* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
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#<alt (* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))> |
#<alt (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))> |
#<alt (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))> |
#<alt (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))> |
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#<alt (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
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#<alt (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))))> |
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#<alt (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))> |
#<alt (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))> |
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#<alt (* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))> |
#<alt (* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))> |
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#<alt (sin ky)> |
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#<alt (* ky (+ 1 (+ (* -1/6 (pow th 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* -1/6 (pow th 2)))) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (+ 1 (* -1/6 (pow th 2))))) (* 1/120 (+ 1 (* -1/6 (pow th 2)))))))))))> |
#<alt (* (sin ky) (+ 1 (* -1/6 (pow th 2))))> |
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#<alt (* (sin ky) (+ 1 (* -1/6 (pow th 2))))> |
#<alt (* (sin ky) (+ 1 (* -1/6 (pow th 2))))> |
#<alt (* (sin ky) (+ 1 (* -1/6 (pow th 2))))> |
#<alt (* (sin ky) (+ 1 (* -1/6 (pow th 2))))> |
#<alt (* (sin ky) (+ 1 (* -1/6 (pow th 2))))> |
#<alt (* (sin ky) (+ 1 (* -1/6 (pow th 2))))> |
#<alt (pow ky 2)> |
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))> |
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))> |
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
138 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | ky | @ | 0 | (/ 1 (+ (* (- 1 (cos (+ kx kx))) 1/2) (+ 1/2 (* -1/2 (cos (+ ky ky)))))) |
| 6.0ms | kx | @ | 0 | (+ (* (- 1 (cos (+ kx kx))) 1/2) (+ 1/2 (* -1/2 (cos (+ ky ky))))) |
| 4.0ms | ky | @ | -inf | (* th (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (+ (* -1/6 (* th th)) 1) (sin ky)))) |
| 3.0ms | ky | @ | 0 | (* (* (sqrt (/ 1 (+ (* (- 1 (cos (+ kx kx))) 1/2) (+ 1/2 (* -1/2 (cos (+ ky ky))))))) (sin ky)) (sin th)) |
| 2.0ms | kx | @ | 0 | (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) |
| 1× | batch-egg-rewrite |
| 974× | lower-fma.f32 |
| 970× | lower-fma.f64 |
| 854× | lower-*.f32 |
| 834× | lower-*.f64 |
| 650× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 274 |
| 0 | 79 | 267 |
| 1 | 272 | 226 |
| 0 | 1987 | 210 |
| 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) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin.f64 th) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))) |
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (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 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) |
(sin.f64 kx) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th)))) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))) |
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64)) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64))) |
(sin.f64 ky) |
(pow.f64 (sin.f64 ky) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) |
(hypot.f64 (sin.f64 ky) (sin.f64 ky)) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 (sin.f64 kx)))) |
(hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 (sin.f64 ky)))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(hypot.f64 (sin.f64 kx) (sin.f64 kx)) |
(hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 kx)))) |
(hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 ky)))) |
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (sin.f64 ky)) |
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (sin.f64 kx)) |
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 kx)))) |
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky)))) |
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 ky)) |
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx)) |
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx)))) |
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 ky)))) |
(sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(pow.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64))) |
(sin.f64 th) |
(exp.f64 (*.f64 (log.f64 (fma.f64 ky ky (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) |
(hypot.f64 ky (sin.f64 ky)) |
(hypot.f64 ky (sin.f64 kx)) |
(hypot.f64 ky (exp.f64 (log.f64 (sin.f64 kx)))) |
(hypot.f64 ky (exp.f64 (log.f64 (sin.f64 ky)))) |
(hypot.f64 (sin.f64 ky) ky) |
(hypot.f64 (sin.f64 ky) (pow.f64 ky #s(literal 1 binary64))) |
(hypot.f64 (sin.f64 kx) ky) |
(hypot.f64 (sin.f64 kx) (pow.f64 ky #s(literal 1 binary64))) |
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) ky) |
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (pow.f64 ky #s(literal 1 binary64))) |
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) ky) |
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (pow.f64 ky #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 ky #s(literal 1 binary64)) (sin.f64 ky)) |
(hypot.f64 (pow.f64 ky #s(literal 1 binary64)) (sin.f64 kx)) |
(hypot.f64 (pow.f64 ky #s(literal 1 binary64)) (exp.f64 (log.f64 (sin.f64 kx)))) |
(hypot.f64 (pow.f64 ky #s(literal 1 binary64)) (exp.f64 (log.f64 (sin.f64 ky)))) |
(sqrt.f64 (fma.f64 ky ky (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 ky ky) (*.f64 ky (*.f64 ky (*.f64 ky ky))) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (*.f64 ky ky) (-.f64 (*.f64 ky ky) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 ky (*.f64 ky (*.f64 ky ky))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 ky ky))))) |
(pow.f64 (fma.f64 ky ky (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (fma.f64 ky ky (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 ky ky (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64))) |
(+.f64 (*.f64 ky ky) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 ky ky)) |
(-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (*.f64 ky ky))) |
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(*.f64 (sin.f64 kx) (sin.f64 kx)) |
(*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 kx)))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 ky)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 ky ky)))) |
(+.f64 (neg.f64 (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64)) |
(+.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))) |
(fma.f64 #s(literal -1 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky)))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64))) (fma.f64 (cos.f64 (+.f64 ky ky)) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky)))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 (+.f64 ky ky))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 ky ky))) (neg.f64 (cos.f64 (+.f64 ky ky)))) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 ky ky))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 ky ky))) (neg.f64 (cos.f64 (+.f64 ky ky))))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 ky ky))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64))) |
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(+.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 (sin.f64 ky) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (sin.f64 ky) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (sin.f64 ky))) |
(+.f64 (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (sin.f64 ky)) (*.f64 #s(literal 1 binary64) (sin.f64 ky))) |
(fma.f64 (sin.f64 ky) #s(literal 1 binary64) (*.f64 (sin.f64 ky) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) |
(fma.f64 (sin.f64 ky) (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (sin.f64 ky) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 ky) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (sin.f64 ky))) |
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (sin.f64 ky) (*.f64 #s(literal 1 binary64) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal 1 binary64)) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (sin.f64 ky)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal 1 binary64)) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (sin.f64 ky)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (sin.f64 ky) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 ky)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))) |
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 kx)))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 ky ky)) #s(literal 2 binary64))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) |
(fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky))))) |
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (cos.f64 (+.f64 ky ky)))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky)))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #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 #s(literal 2 binary64) (+.f64 ky ky)))))) #s(literal 1/4 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 (sin.f64 kx))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (sin.f64 ky))) #s(literal 2 binary64)) |
(*.f64 (sin.f64 ky) (sin.f64 ky)) |
(*.f64 (sin.f64 kx) (sin.f64 kx)) |
(*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 kx)))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 ky)))) |
| 1× | egg-herbie |
| 8 918× | lower-fma.f64 |
| 8 918× | lower-fma.f32 |
| 6 778× | lower-*.f64 |
| 6 778× | lower-*.f32 |
| 5 866× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1205 | 14396 |
| 1 | 4086 | 13654 |
| 2 | 7415 | 13654 |
| 0 | 8115 | 12722 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* ky (sin th)) (sin kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(sin th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(/ ky (sin kx)) |
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
1 |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
ky |
(* ky (+ 1 (* -1/6 (pow ky 2)))) |
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) |
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sin ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky)))))) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
th |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) |
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
ky |
(+ ky (* 1/2 (/ (pow kx 2) ky))) |
(+ ky (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow ky 2))))) ky)) (* 1/2 (/ 1 ky))))) |
(+ ky (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) ky)) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) (pow ky 2))))) ky)))) (* 1/2 (/ 1 ky))))) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(sin kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/2 (/ 1 (sin kx)))))) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow (sin kx) 5))) (* 1/8 (/ 1 (pow (sin kx) 3))))) (* 1/2 (/ 1 (sin kx)))))) |
ky |
(* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))) |
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))) |
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))) |
(* -1 ky) |
(* -1 (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))) |
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))) |
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))) |
(pow ky 2) |
(+ (pow kx 2) (pow ky 2)) |
(+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow ky 2)) |
(+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow ky 2)) |
(+ (pow ky 2) (pow (sin kx) 2)) |
(+ (pow ky 2) (pow (sin kx) 2)) |
(+ (pow ky 2) (pow (sin kx) 2)) |
(+ (pow ky 2) (pow (sin kx) 2)) |
(+ (pow ky 2) (pow (sin kx) 2)) |
(+ (pow ky 2) (pow (sin kx) 2)) |
(+ (pow ky 2) (pow (sin kx) 2)) |
(+ (pow ky 2) (pow (sin kx) 2)) |
(pow (sin kx) 2) |
(+ (pow ky 2) (pow (sin kx) 2)) |
(+ (pow ky 2) (pow (sin kx) 2)) |
(+ (pow ky 2) (pow (sin kx) 2)) |
(pow ky 2) |
(* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2)))) |
(* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2)))) |
(* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2)))) |
(pow ky 2) |
(* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2)))) |
(* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2)))) |
(* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2)))) |
(/ (* ky (sin th)) (sin kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 3/8 (/ (sin th) (pow (sin kx) 5))))))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 3/8 (/ (sin th) (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow (sin kx) 7))) (+ (* -1/16 (/ (sin th) (pow (sin kx) 5))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(/ (* (sin ky) (sin th)) ky) |
(/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky) |
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky) |
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky) |
(* -1 (/ (* (sin ky) (sin th)) ky)) |
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky)) |
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky)) |
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky)) |
(/ (* (sin ky) (sin th)) ky) |
(+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 3))) (/ (* (sin ky) (sin th)) ky)) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (* (sin ky) (sin th)) ky)) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8)))))))))) (* 1/2 (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))))) (/ (* (sin ky) (sin th)) ky)) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(/ ky (sin kx)) |
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 3/8 (/ 1 (pow (sin kx) 5))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sin kx))) (+ (* 1/240 (/ 1 (pow (sin kx) 3))) (+ (* 1/16 (/ 1 (pow (sin kx) 5))) (* 5/16 (/ 1 (pow (sin kx) 7)))))))) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (* 3/8 (/ 1 (pow (sin kx) 5))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(/ (sin ky) ky) |
(/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky) |
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky) |
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))))) ky) |
(* -1 (/ (sin ky) ky)) |
(* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky)) |
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky)) |
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))))) ky)) |
(/ (sin ky) ky) |
(+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 3))) (/ (sin ky) ky)) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))) (/ (sin ky) ky)) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8))))))))) (* 1/2 (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (sin ky) ky)) |
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(+ 1/2 (* -1/2 (cos (* 2 ky)))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))) |
(* 1/2 (- 1 (cos (* 2 kx)))) |
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)) |
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))) |
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) |
(+ (* -1 (/ (pow kx 2) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) |
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) |
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))) |
(/ 2 (- 1 (cos (* 2 kx)))) |
(+ (* -4 (/ (pow ky 2) (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (- 1 (cos (* 2 kx)))))) |
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* 2 (/ 1 (- 1 (cos (* 2 kx)))))) |
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* 2 (/ 1 (- 1 (cos (* 2 kx)))))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(pow ky 2) |
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))) |
(+ 1/2 (* -1/2 (cos (* 2 ky)))) |
(+ 1/2 (* -1/2 (cos (* 2 ky)))) |
(+ 1/2 (* -1/2 (cos (* 2 ky)))) |
(+ 1/2 (* -1/2 (cos (* 2 ky)))) |
(+ 1/2 (* -1/2 (cos (neg (* -2 ky))))) |
(+ 1/2 (* -1/2 (cos (neg (* -2 ky))))) |
(+ 1/2 (* -1/2 (cos (neg (* -2 ky))))) |
(+ 1/2 (* -1/2 (cos (neg (* -2 ky))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) |
(+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) |
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))) |
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))) |
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))))))) |
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) |
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) |
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) |
(/ (* ky (* th (+ 1 (* -1/6 (pow th 2))))) (sin kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (+ (* -1/12 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/5040 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 2))) (* th (+ 1 (* -1/6 (pow th 2))))) |
(+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* ky (+ (* -1/6 (/ (pow th 2) (sin kx))) (/ 1 (sin kx)))) |
(* ky (+ (* -1/6 (/ (pow th 2) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (* -1/6 (/ (+ 1 (* -1/6 (pow th 2))) (sin kx))))) (/ 1 (sin kx))))) |
(* ky (+ (* -1/6 (/ (pow th 2) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (+ (* -1/6 (/ (+ 1 (* -1/6 (pow th 2))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (+ 1 (* -1/6 (pow th 2))) (sin kx))) (+ (* 1/12 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ 1 (sin kx))))) |
(* ky (+ (* -1/6 (/ (pow th 2) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (+ (* -1/6 (/ (+ 1 (* -1/6 (pow th 2))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (+ 1 (* -1/6 (pow th 2))) (sin kx))) (+ (* 1/12 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (* -1/5040 (/ (+ 1 (* -1/6 (pow th 2))) (sin kx)))))))))))))) (/ 1 (sin kx))))) |
(* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(+ 1 (* -1/6 (pow th 2))) |
(+ 1 (+ (* -1/2 (/ (* (pow kx 2) (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* -1/6 (pow th 2)))) |
(+ 1 (+ (* -1/6 (pow th 2)) (* (pow kx 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(+ 1 (+ (* -1/6 (pow th 2)) (* (pow kx 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))) |
(* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
(+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
(+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
(* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
(* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
(* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(/ 1 (sin kx)) |
(+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx))) |
(+ (* (pow ky 2) (- (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx))) |
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx))) |
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/ 1 (sin ky)) |
(+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky))) |
(+ (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky))) |
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky))) |
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/ 1 (pow (sin kx) 2)) |
(+ (* -1 (/ (pow ky 2) (pow (sin kx) 4))) (/ 1 (pow (sin kx) 2))) |
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6)))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2))) |
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2))) |
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(/ 1 (pow (sin ky) 2)) |
(+ (* -1 (/ (pow kx 2) (pow (sin ky) 4))) (/ 1 (pow (sin ky) 2))) |
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6)))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2))) |
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2))) |
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
kx |
(* kx (+ 1 (* -1/6 (pow kx 2)))) |
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6)))) |
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))) |
(sin kx) |
(sin kx) |
(sin kx) |
(sin kx) |
(sin kx) |
(sin kx) |
(sin kx) |
(sin kx) |
(pow kx 2) |
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))) |
(pow (sin kx) 2) |
(pow (sin kx) 2) |
(pow (sin kx) 2) |
(pow (sin kx) 2) |
(pow (sin kx) 2) |
(pow (sin kx) 2) |
(pow (sin kx) 2) |
(pow (sin kx) 2) |
(* 2 (pow kx 2)) |
(* (pow kx 2) (+ 2 (* -2/3 (pow kx 2)))) |
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3)))) |
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3)))) |
(- 1 (cos (* 2 kx))) |
(- 1 (cos (* 2 kx))) |
(- 1 (cos (* 2 kx))) |
(- 1 (cos (* 2 kx))) |
(- 1 (cos (neg (* -2 kx)))) |
(- 1 (cos (neg (* -2 kx)))) |
(- 1 (cos (neg (* -2 kx)))) |
(- 1 (cos (neg (* -2 kx)))) |
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) |
(+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* -1/2 (* (pow kx 2) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) |
(+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* 1/2 (* (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))) |
(+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))))))) |
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))) |
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))) |
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))) |
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))) |
(* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
(+ (* -2 (* (/ (pow ky 2) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) |
(+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (pow ky 2) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))) |
(+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))) |
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) |
(+ (* -1/2 (* (* (pow kx 2) (sin ky)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) |
(+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))) |
(+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))) |
(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))))))) |
(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(sin ky) |
(+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))) |
(+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))) |
(+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))) |
(* -1/6 (* (pow th 2) (sin ky))) |
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2)))) |
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2)))) |
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2)))) |
(* -1/6 (* (pow th 2) (sin ky))) |
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2)))) |
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2)))) |
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2)))) |
(* ky (+ 1 (* -1/6 (pow th 2)))) |
(* ky (+ 1 (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow th 2))))) (* -1/6 (pow th 2))))) |
(* ky (+ 1 (+ (* -1/6 (pow th 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* -1/6 (pow th 2)))) (* 1/120 (* (pow ky 2) (+ 1 (* -1/6 (pow th 2)))))))))) |
(* ky (+ 1 (+ (* -1/6 (pow th 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* -1/6 (pow th 2)))) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (+ 1 (* -1/6 (pow th 2))))) (* 1/120 (+ 1 (* -1/6 (pow th 2))))))))))) |
(* (sin ky) (+ 1 (* -1/6 (pow th 2)))) |
(* (sin ky) (+ 1 (* -1/6 (pow th 2)))) |
(* (sin ky) (+ 1 (* -1/6 (pow th 2)))) |
(* (sin ky) (+ 1 (* -1/6 (pow th 2)))) |
(* (sin ky) (+ 1 (* -1/6 (pow th 2)))) |
(* (sin ky) (+ 1 (* -1/6 (pow th 2)))) |
(* (sin ky) (+ 1 (* -1/6 (pow th 2)))) |
(* (sin ky) (+ 1 (* -1/6 (pow th 2)))) |
(pow ky 2) |
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
| Outputs |
|---|
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))) (/.f64 (sin.f64 th) (sin.f64 kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal 1/12 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sin.f64 kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))))) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/240 binary64) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/5040 binary64) (*.f64 (*.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))))) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal 1/12 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sin.f64 kx)))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(sin th) |
(sin.f64 th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (sin.f64 ky))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (*.f64 th (sin.f64 ky)) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(fma.f64 ky (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))))) (/.f64 ky (sin.f64 kx))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))))) (/.f64 ky (sin.f64 kx))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))))) (-.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (+.f64 (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))))) (/.f64 ky (sin.f64 kx))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
ky |
(* ky (+ 1 (* -1/6 (pow ky 2)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin kx) |
(sin.f64 kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (sin.f64 kx)) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx)) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 ky ky) (+.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sin ky) |
(sin.f64 ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky)) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky)))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky)) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (/.f64 (+.f64 #s(literal 2/45 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
th |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (*.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
ky |
(+ ky (* 1/2 (/ (pow kx 2) ky))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) ky) ky) |
(+ ky (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow ky 2))))) ky)) (* 1/2 (/ 1 ky))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 ky ky))) (/.f64 (*.f64 kx kx) ky)) (/.f64 #s(literal 1/2 binary64) ky)) ky) |
(+ ky (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) ky)) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) (pow ky 2))))) ky)))) (* 1/2 (/ 1 ky))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 ky ky)))) (*.f64 ky ky)))) ky) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 ky ky)))) ky)) (/.f64 #s(literal 1/2 binary64) ky)) ky) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(hypot.f64 ky (sin.f64 kx)) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(hypot.f64 ky (sin.f64 kx)) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(hypot.f64 ky (sin.f64 kx)) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(hypot.f64 ky (sin.f64 kx)) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(hypot.f64 ky (sin.f64 kx)) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(hypot.f64 ky (sin.f64 kx)) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(hypot.f64 ky (sin.f64 kx)) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(hypot.f64 ky (sin.f64 kx)) |
(sin kx) |
(sin.f64 kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (sin.f64 kx)) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/2 (/ 1 (sin kx)))))) |
(fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/8 binary64) (*.f64 ky (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx)) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow (sin kx) 5))) (* 1/8 (/ 1 (pow (sin kx) 3))))) (* 1/2 (/ 1 (sin kx)))))) |
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx)) |
ky |
(* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))) |
(*.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)) #s(literal 1 binary64))) |
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))) |
(*.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64))) #s(literal 1 binary64)))) |
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))) |
(*.f64 ky (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (pow.f64 ky #s(literal 6 binary64))))) |
(* -1 ky) |
(neg.f64 ky) |
(* -1 (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)) #s(literal 1 binary64)) (neg.f64 ky)) |
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 ky)) |
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (pow.f64 ky #s(literal 6 binary64)))) (neg.f64 ky)) |
(pow ky 2) |
(*.f64 ky ky) |
(+ (pow kx 2) (pow ky 2)) |
(fma.f64 ky ky (*.f64 kx kx)) |
(+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow ky 2)) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky)) |
(+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow ky 2)) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (*.f64 ky ky)) |
(+ (pow ky 2) (pow (sin kx) 2)) |
(fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(+ (pow ky 2) (pow (sin kx) 2)) |
(fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(+ (pow ky 2) (pow (sin kx) 2)) |
(fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(+ (pow ky 2) (pow (sin kx) 2)) |
(fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(+ (pow ky 2) (pow (sin kx) 2)) |
(fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(+ (pow ky 2) (pow (sin kx) 2)) |
(fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(+ (pow ky 2) (pow (sin kx) 2)) |
(fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(+ (pow ky 2) (pow (sin kx) 2)) |
(fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(+ (pow ky 2) (pow (sin kx) 2)) |
(fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(+ (pow ky 2) (pow (sin kx) 2)) |
(fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(+ (pow ky 2) (pow (sin kx) 2)) |
(fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(pow ky 2) |
(*.f64 ky ky) |
(* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2)))) |
(*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) |
(* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2)))) |
(*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) |
(* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2)))) |
(*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) |
(pow ky 2) |
(*.f64 ky ky) |
(* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2)))) |
(*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) |
(* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2)))) |
(*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) |
(* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2)))) |
(*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))) (/.f64 (sin.f64 th) (sin.f64 kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 3/8 (/ (sin th) (pow (sin kx) 5))))))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal 1/12 binary64) (fma.f64 #s(literal 3/8 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sin.f64 kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 3/8 (/ (sin th) (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow (sin kx) 7))) (+ (* -1/16 (/ (sin th) (pow (sin kx) 5))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -5/16 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 7 binary64))) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/240 binary64) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/5040 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))))) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal 1/12 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sin.f64 kx)))) |
(/ (* (sin ky) (sin th)) ky) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky)) |
(/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky ky))) (*.f64 (sin.f64 th) (sin.f64 ky))) ky) |
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (*.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 ky #s(literal 4 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky ky)))) (*.f64 (sin.f64 th) (sin.f64 ky))) ky) |
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 ky) (/.f64 (*.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 ky #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 (sin.f64 ky) (pow.f64 ky #s(literal 6 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky ky)))) (*.f64 (sin.f64 th) (sin.f64 ky)))) ky) |
(* -1 (/ (* (sin ky) (sin th)) ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (neg.f64 ky)) |
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky ky))) (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 ky)) |
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (*.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 ky #s(literal 4 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky ky)))) (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 ky)) |
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 ky) (/.f64 (*.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 ky #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 (sin.f64 ky) (pow.f64 ky #s(literal 6 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky ky)))) (*.f64 (sin.f64 th) (sin.f64 ky)))) (neg.f64 ky)) |
(/ (* (sin ky) (sin th)) ky) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky)) |
(+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 3))) (/ (* (sin ky) (sin th)) ky)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 kx kx)) (*.f64 ky (*.f64 ky ky))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (* (sin ky) (sin th)) ky)) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 ky (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky (*.f64 ky ky))))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8)))))))))) (* 1/2 (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))))) (/ (* (sin ky) (sin th)) ky)) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 kx kx) ky) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64)))) (*.f64 ky ky)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 ky #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 ky #s(literal 4 binary64)))))))) (*.f64 (*.f64 #s(literal 1/2 binary64) ky) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky (*.f64 ky ky))))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))))))) |
(*.f64 th (fma.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 #s(literal -1/6 binary64) (sin.f64 ky))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(fma.f64 ky (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))))) (/.f64 ky (sin.f64 kx))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 3/8 (/ 1 (pow (sin kx) 5))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))))) (/.f64 ky (sin.f64 kx))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sin kx))) (+ (* 1/240 (/ 1 (pow (sin kx) 3))) (+ (* 1/16 (/ 1 (pow (sin kx) 5))) (* 5/16 (/ 1 (pow (sin kx) 7)))))))) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (* 3/8 (/ 1 (pow (sin kx) 5))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (+.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 5/16 binary64) (pow.f64 (sin.f64 kx) #s(literal 7 binary64))) (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)))) (neg.f64 (*.f64 ky ky)) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))))) (/.f64 ky (sin.f64 kx))) |
(/ (sin ky) ky) |
(/.f64 (sin.f64 ky) ky) |
(/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (sin.f64 ky)) (*.f64 ky ky)) (sin.f64 ky)) ky) |
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 ky #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (sin.f64 ky)) (*.f64 ky ky))) (sin.f64 ky)) ky) |
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))))) ky) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 ky #s(literal 4 binary64)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 (sin.f64 ky) (pow.f64 ky #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (sin.f64 ky)) (*.f64 ky ky)))) (sin.f64 ky)) ky) |
(* -1 (/ (sin ky) ky)) |
(neg.f64 (/.f64 (sin.f64 ky) ky)) |
(* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (sin.f64 ky)) (*.f64 ky ky)) (sin.f64 ky)) (neg.f64 ky)) |
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 ky #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (sin.f64 ky)) (*.f64 ky ky))) (sin.f64 ky)) (neg.f64 ky)) |
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))))) ky)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 ky #s(literal 4 binary64)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 (sin.f64 ky) (pow.f64 ky #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (sin.f64 ky)) (*.f64 ky ky)))) (sin.f64 ky)) (neg.f64 ky)) |
(/ (sin ky) ky) |
(/.f64 (sin.f64 ky) ky) |
(+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 3))) (/ (sin ky) ky)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 kx kx)) (*.f64 ky (*.f64 ky ky))) (/.f64 (sin.f64 ky) ky)) |
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(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
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(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
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(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
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(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
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(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))))) |
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(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
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(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
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(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
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(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
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(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
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(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* 2 (/ 1 (- 1 (cos (* 2 kx)))))) |
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (+.f64 (/.f64 #s(literal 8/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 8/45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))))) (neg.f64 (*.f64 ky ky)) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) (/.f64 #s(literal -4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(pow ky 2) |
(*.f64 ky ky) |
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) |
(*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) |
(*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))) |
(*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(+ 1/2 (* -1/2 (cos (* 2 ky)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* 2 ky)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* 2 ky)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* 2 ky)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (neg (* -2 ky))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (neg (* -2 ky))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (neg (* -2 ky))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (neg (* -2 ky))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 kx kx))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx kx) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) |
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) |
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (fma.f64 (*.f64 ky ky) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (+.f64 (/.f64 #s(literal 8/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 8/45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64)))))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal -1/12 binary64) (*.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) #s(literal -1/60 binary64) (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
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(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
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(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
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(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
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(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
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(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
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(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
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(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
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(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) |
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(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) |
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(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) |
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(/ (* ky (* th (+ 1 (* -1/6 (pow th 2))))) (sin kx)) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))) |
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))) |
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (+ (* -1/12 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/5040 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))) |
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(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* th (+ 1 (* -1/6 (pow th 2)))) |
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(+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
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(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* ky (+ (* -1/6 (/ (pow th 2) (sin kx))) (/ 1 (sin kx)))) |
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(* ky (+ (* -1/6 (/ (pow th 2) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (* -1/6 (/ (+ 1 (* -1/6 (pow th 2))) (sin kx))))) (/ 1 (sin kx))))) |
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(* ky (+ (* -1/6 (/ (pow th 2) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (+ (* -1/6 (/ (+ 1 (* -1/6 (pow th 2))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (+ 1 (* -1/6 (pow th 2))) (sin kx))) (+ (* 1/12 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ 1 (sin kx))))) |
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(* ky (+ (* -1/6 (/ (pow th 2) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (+ (* -1/6 (/ (+ 1 (* -1/6 (pow th 2))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (+ 1 (* -1/6 (pow th 2))) (sin kx))) (+ (* 1/12 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (* -1/5040 (/ (+ 1 (* -1/6 (pow th 2))) (sin kx)))))))))))))) (/ 1 (sin kx))))) |
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(* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(+ 1 (+ (* -1/6 (pow th 2)) (* (pow kx 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
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(+ 1 (+ (* -1/6 (pow th 2)) (* (pow kx 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))) |
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(* (* (sin ky) (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (neg.f64 (*.f64 kx kx)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
kx |
(* kx (+ 1 (* -1/6 (pow kx 2)))) |
(*.f64 kx (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))) |
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6)))) |
(*.f64 kx (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))) |
(*.f64 kx (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(pow kx 2) |
(*.f64 kx kx) |
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) |
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) |
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))) |
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(* 2 (pow kx 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 kx kx)) |
(* (pow kx 2) (+ 2 (* -2/3 (pow kx 2)))) |
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/3 binary64) #s(literal 2 binary64))) |
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3)))) |
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64))) |
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3)))) |
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/315 binary64) #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))) |
(- 1 (cos (* 2 kx))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) |
(- 1 (cos (* 2 kx))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) |
(- 1 (cos (* 2 kx))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) |
(- 1 (cos (* 2 kx))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) |
(- 1 (cos (neg (* -2 kx)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) |
(- 1 (cos (neg (* -2 kx)))) |
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(- 1 (cos (neg (* -2 kx)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) |
(- 1 (cos (neg (* -2 kx)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) |
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) |
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))) |
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))) |
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(+ (* -2 (* (/ (pow ky 2) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) |
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(+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (pow ky 2) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))) |
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(+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))) |
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) |
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(+ (* -1/2 (* (* (pow kx 2) (sin ky)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 ky) (*.f64 kx kx))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (*.f64 (sin.f64 ky) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 ky) (*.f64 kx kx)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 ky) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
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(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))) |
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(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/120 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) |
(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (fma.f64 (*.f64 ky ky) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (+.f64 (/.f64 #s(literal 8/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 8/45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/12 binary64) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 #s(literal -1/60 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/5040 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(sin ky) |
(sin.f64 ky) |
(+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))) |
(*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))) |
(*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))) |
(*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(* -1/6 (* (pow th 2) (sin ky))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 ky)) |
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2)))) |
(*.f64 (*.f64 th th) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (/.f64 (sin.f64 ky) (*.f64 th th)))) |
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2)))) |
(*.f64 (*.f64 th th) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (/.f64 (sin.f64 ky) (*.f64 th th)))) |
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2)))) |
(*.f64 (*.f64 th th) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (/.f64 (sin.f64 ky) (*.f64 th th)))) |
(* -1/6 (* (pow th 2) (sin ky))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 ky)) |
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2)))) |
(*.f64 (*.f64 th th) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (/.f64 (sin.f64 ky) (*.f64 th th)))) |
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2)))) |
(*.f64 (*.f64 th th) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (/.f64 (sin.f64 ky) (*.f64 th th)))) |
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2)))) |
(*.f64 (*.f64 th th) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (/.f64 (sin.f64 ky) (*.f64 th th)))) |
(* ky (+ 1 (* -1/6 (pow th 2)))) |
(*.f64 ky (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(* ky (+ 1 (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow th 2))))) (* -1/6 (pow th 2))))) |
(*.f64 ky (fma.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (*.f64 th th)) #s(literal 1 binary64))) |
(* ky (+ 1 (+ (* -1/6 (pow th 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* -1/6 (pow th 2)))) (* 1/120 (* (pow ky 2) (+ 1 (* -1/6 (pow th 2)))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(* ky (+ 1 (+ (* -1/6 (pow th 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* -1/6 (pow th 2)))) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (+ 1 (* -1/6 (pow th 2))))) (* 1/120 (+ 1 (* -1/6 (pow th 2))))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(* (sin ky) (+ 1 (* -1/6 (pow th 2)))) |
(*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(* (sin ky) (+ 1 (* -1/6 (pow th 2)))) |
(*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(* (sin ky) (+ 1 (* -1/6 (pow th 2)))) |
(*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(* (sin ky) (+ 1 (* -1/6 (pow th 2)))) |
(*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(* (sin ky) (+ 1 (* -1/6 (pow th 2)))) |
(*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(* (sin ky) (+ 1 (* -1/6 (pow th 2)))) |
(*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(* (sin ky) (+ 1 (* -1/6 (pow th 2)))) |
(*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(* (sin ky) (+ 1 (* -1/6 (pow th 2)))) |
(*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(pow ky 2) |
(*.f64 ky ky) |
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) |
(*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) |
(*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))) |
(*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
Compiled 31 411 to 3 194 computations (89.8% saved)
50 alts after pruning (48 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 086 | 32 | 1 118 |
| Fresh | 5 | 16 | 21 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 094 | 50 | 1 144 |
| Status | Accuracy | Program |
|---|---|---|
| 75.9% | (/.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 binary64) (sin.f64 ky))) | |
| 75.9% | (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) | |
| 12.2% | (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) | |
| 28.1% | (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) | |
| 76.0% | (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))) (sin.f64 ky))) | |
| 23.5% | (*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) | |
| 68.5% | (*.f64 (/.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| ▶ | 79.4% | (*.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (fma.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) |
| 41.6% | (*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) | |
| 41.7% | (*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) | |
| ▶ | 76.0% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) |
| 76.0% | (*.f64 (/.f64 (sin.f64 ky) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 2 binary64)) #s(literal 1/4 binary64))) (sin.f64 th)) | |
| 75.8% | (*.f64 (/.f64 (sin.f64 ky) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 1/4 binary64)) #s(literal 2 binary64))) (sin.f64 th)) | |
| 58.4% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (*.f64 kx (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))))) (sin.f64 th)) | |
| 49.5% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) | |
| ✓ | 99.6% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
| 50.9% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) | |
| 37.8% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.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)) | |
| 12.3% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)) | |
| 76.0% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 th)) | |
| 26.3% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) | |
| 39.6% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th)) | |
| ▶ | 33.2% | (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
| 15.7% | (*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th)) | |
| 29.9% | (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) | |
| 76.0% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))) (sin.f64 ky))) (sin.f64 th)) | |
| 25.0% | (*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) | |
| 29.9% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th)) | |
| 75.9% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th)) | |
| 38.8% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) | |
| 34.0% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (sin.f64 ky)) (sin.f64 th)) | |
| 35.0% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (sin.f64 th)) | |
| ▶ | 43.6% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) (sin.f64 th)) |
| 35.2% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th)) | |
| 33.1% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th)) | |
| 25.1% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) | |
| 41.9% | (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) | |
| 32.9% | (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) | |
| 75.8% | (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))))) | |
| 14.4% | (*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) | |
| 20.6% | (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) | |
| 38.7% | (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) | |
| 17.8% | (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) | |
| ▶ | 17.8% | (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
| 14.5% | (*.f64 th (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) | |
| 17.8% | (*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) | |
| 16.2% | (*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) | |
| 22.5% | (*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) | |
| 18.1% | (*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) | |
| ✓ | 29.6% | (sin.f64 th) |
Compiled 2 167 to 1 517 computations (30% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))) |
| ✓ | cost-diff | 384 | (fma.f64 (-.f64 #s(literal 1 binary64) (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))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) (sin.f64 th)) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 2 binary64) (*.f64 kx kx)) |
| ✓ | cost-diff | 512 | (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))) |
| ✓ | cost-diff | 0 | (sin.f64 kx) |
| ✓ | cost-diff | 0 | (sin.f64 ky) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 ky) (sin.f64 kx)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
| ✓ | cost-diff | 0 | (*.f64 th th) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) |
| ✓ | cost-diff | 192 | (fma.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))))) |
| ✓ | cost-diff | 256 | (-.f64 #s(literal 1/2 binary64) (fma.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)))))) |
| ✓ | cost-diff | 320 | (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (fma.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
| 15 330× | lower-fma.f32 |
| 15 320× | lower-fma.f64 |
| 3 020× | lower-+.f32 |
| 3 010× | lower-+.f64 |
| 2 904× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 540 |
| 0 | 95 | 540 |
| 1 | 153 | 535 |
| 2 | 288 | 508 |
| 3 | 629 | 492 |
| 4 | 2163 | 488 |
| 5 | 4909 | 488 |
| 6 | 7992 | 488 |
| 0 | 8066 | 462 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (fma.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) |
(*.f64 (sin.f64 ky) (sin.f64 th)) |
(sin.f64 ky) |
ky |
(sin.f64 th) |
th |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) |
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) |
(pow.f64 (sin.f64 kx) #s(literal 6 binary64)) |
(sin.f64 kx) |
kx |
#s(literal 6 binary64) |
(pow.f64 (sin.f64 ky) #s(literal 6 binary64)) |
(sqrt.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (fma.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (fma.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(+.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))) |
#s(literal -1/2 binary64) |
(cos.f64 (+.f64 kx kx)) |
(+.f64 kx kx) |
(-.f64 #s(literal 1/2 binary64) (fma.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 #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 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) |
(cos.f64 (+.f64 ky ky)) |
(+.f64 ky ky) |
(pow.f64 (sin.f64 ky) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
th |
(fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 th th) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin.f64 ky) |
ky |
(sin.f64 kx) |
kx |
(sin.f64 th) |
th |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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 1 binary64) |
(fma.f64 (*.f64 #s(literal 2 binary64) (*.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 2 binary64) (*.f64 kx kx)) |
#s(literal 2 binary64) |
(*.f64 kx 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) (cos.f64 (+.f64 ky ky))) |
#s(literal -1/2 binary64) |
(cos.f64 (+.f64 ky ky)) |
(+.f64 ky ky) |
ky |
(sin.f64 ky) |
(sin.f64 th) |
th |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) |
(/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) |
(sin.f64 th) |
th |
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (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 binary64) (cos.f64 (+.f64 kx kx))) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 kx kx)) |
(+.f64 kx 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) (cos.f64 (+.f64 ky ky))) |
#s(literal -1/2 binary64) |
(cos.f64 (+.f64 ky ky)) |
(+.f64 ky ky) |
ky |
(sin.f64 ky) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (fma.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (sqrt.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (-.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) |
(*.f64 (sin.f64 ky) (sin.f64 th)) |
(sin.f64 ky) |
ky |
(sin.f64 th) |
th |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) |
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) |
(pow.f64 (sin.f64 kx) #s(literal 6 binary64)) |
(sin.f64 kx) |
kx |
#s(literal 6 binary64) |
(pow.f64 (sin.f64 ky) #s(literal 6 binary64)) |
(sqrt.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (fma.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) |
(sqrt.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (-.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (fma.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(fma.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (-.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))) |
#s(literal -1/2 binary64) |
(cos.f64 (+.f64 kx kx)) |
(+.f64 kx kx) |
(-.f64 #s(literal 1/2 binary64) (fma.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 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx)))) |
(fma.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 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 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) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) |
(cos.f64 (+.f64 ky ky)) |
(+.f64 ky ky) |
(pow.f64 (sin.f64 ky) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) |
th |
(fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) |
(fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 th th) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin.f64 ky) |
ky |
(sin.f64 kx) |
kx |
(sin.f64 th) |
th |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) (fma.f64 kx kx #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) (fma.f64 kx kx #s(literal 1/2 binary64)))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) (fma.f64 kx kx #s(literal 1/2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 kx kx)) |
(*.f64 kx (+.f64 kx kx)) |
#s(literal 2 binary64) |
(*.f64 kx kx) |
kx |
#s(literal 1/2 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) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) |
#s(literal -1/2 binary64) |
(cos.f64 (+.f64 ky ky)) |
(+.f64 ky ky) |
ky |
(sin.f64 ky) |
(sin.f64 th) |
th |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64)))) |
(/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64)))) |
(sin.f64 th) |
th |
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (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))))) |
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 kx kx)) |
(+.f64 kx kx) |
kx |
#s(literal 1/2 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) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) |
#s(literal -1/2 binary64) |
(cos.f64 (+.f64 ky ky)) |
(+.f64 ky ky) |
ky |
(sin.f64 ky) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) |
| ✓ | accuracy | 93.4% | (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))) |
| ✓ | accuracy | 79.4% | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))) |
| ✓ | accuracy | 74.7% | (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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)))))) |
| ✓ | accuracy | 79.4% | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))) |
| ✓ | accuracy | 75.7% | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) |
| ✓ | accuracy | 100.0% | (sin.f64 ky) |
| ✓ | accuracy | 100.0% | (sin.f64 kx) |
| ✓ | accuracy | 99.6% | (/.f64 (sin.f64 ky) (sin.f64 kx)) |
| ✓ | accuracy | 99.5% | (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
| ✓ | accuracy | 100.0% | (*.f64 th th) |
| ✓ | accuracy | 99.9% | (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) |
| ✓ | accuracy | 92.7% | (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) |
| ✓ | accuracy | 83.0% | (-.f64 #s(literal 1/2 binary64) (fma.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)))))) |
| ✓ | accuracy | 79.4% | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))) |
| ✓ | accuracy | 74.8% | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) |
| 197.0ms | 93× | 4 | valid |
| 70.0ms | 49× | 2 | valid |
| 61.0ms | 42× | 1 | valid |
| 44.0ms | 69× | 0 | valid |
| 6.0ms | 3× | 3 | valid |
Compiled 561 to 57 computations (89.8% saved)
ival-cos: 59.0ms (22.2% of total)ival-mult: 52.0ms (19.6% of total)adjust: 47.0ms (17.7% of total)ival-sin: 26.0ms (9.8% of total)ival-add: 24.0ms (9% of total)ival-div: 17.0ms (6.4% of total)ival-sqrt: 15.0ms (5.6% of total)ival-pow: 13.0ms (4.9% of total)const: 5.0ms (1.9% of total)ival-sub: 5.0ms (1.9% of total)exact: 1.0ms (0.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (fma.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))> |
#<alt (-.f64 #s(literal 1/2 binary64) (fma.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))))))> |
#<alt (fma.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)))))> |
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))> |
#<alt (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))> |
#<alt (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))> |
#<alt (*.f64 th th)> |
#<alt (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))> |
#<alt (/.f64 (sin.f64 ky) (sin.f64 kx))> |
#<alt (sin.f64 ky)> |
#<alt (sin.f64 kx)> |
#<alt (fma.f64 (*.f64 #s(literal 2 binary64) (*.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)))))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 kx kx))> |
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))> |
#<alt (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) (sin.f64 th))> |
#<alt (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))> |
#<alt (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky))> |
#<alt (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))))> |
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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)))))))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky))> |
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))> |
#<alt (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))> |
| Outputs |
|---|
#<alt (pow (sin ky) 4)> |
#<alt (+ (* -1 (* (pow kx 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow (sin ky) 4))> |
#<alt (+ (* (pow kx 2) (+ (* -1 (* (pow kx 2) (- (* -1/3 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1))) (* -1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (pow (sin ky) 4))> |
#<alt (+ (* (pow kx 2) (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ 2/3 (* 2/45 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* -1 (- (* -1/3 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1)))))) (pow (sin ky) 4))> |
#<alt (+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4))> |
#<alt (+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4))> |
#<alt (+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4))> |
#<alt (+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4))> |
#<alt (+ (* -1 (* (+ 1/2 (* -1/2 (cos (neg (* -2 kx))))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx))))))) (pow (sin ky) 4))> |
#<alt (+ (* -1 (* (+ 1/2 (* -1/2 (cos (neg (* -2 kx))))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx))))))) (pow (sin ky) 4))> |
#<alt (+ (* -1 (* (+ 1/2 (* -1/2 (cos (neg (* -2 kx))))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx))))))) (pow (sin ky) 4))> |
#<alt (+ (* -1 (* (+ 1/2 (* -1/2 (cos (neg (* -2 kx))))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx))))))) (pow (sin ky) 4))> |
#<alt (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (- (* 1/2 (cos (* 2 kx))) 1/2)))> |
#<alt (+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (- (* 1/2 (cos (* 2 kx))) 1/2))) (* -1 (* (pow ky 2) (+ 1/2 (* -1/2 (cos (* 2 kx)))))))> |
#<alt (+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (- (* 1/2 (cos (* 2 kx))) 1/2))) (* (pow ky 2) (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ 1 (* 1/3 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))> |
#<alt (+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (- (* 1/2 (cos (* 2 kx))) 1/2))) (* (pow ky 2) (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ 1 (+ (* 1/3 (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow ky 2) (- (* -2/45 (+ 1/2 (* -1/2 (cos (* 2 kx))))) 2/3))))))))> |
#<alt (+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4))> |
#<alt (+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4))> |
#<alt (+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4))> |
#<alt (+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4))> |
#<alt (+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4))> |
#<alt (+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4))> |
#<alt (+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4))> |
#<alt (+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4))> |
#<alt (* -1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))> |
#<alt (- (pow kx 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))> |
#<alt (- (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))> |
#<alt (- (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))> |
#<alt (* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))> |
#<alt (* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))> |
#<alt (* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))> |
#<alt (* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))> |
#<alt (* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx))))))> |
#<alt (* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx))))))> |
#<alt (* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx))))))> |
#<alt (* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx))))))> |
#<alt (- 1/2 (* 1/2 (cos (* 2 kx))))> |
#<alt (- (+ 1/2 (* -1 (pow ky 2))) (* 1/2 (cos (* 2 kx))))> |
#<alt (- (+ 1/2 (* (pow ky 2) (- (* 1/3 (pow ky 2)) 1))) (* 1/2 (cos (* 2 kx))))> |
#<alt (- (+ 1/2 (* (pow ky 2) (- (* (pow ky 2) (+ 1/3 (* -2/45 (pow ky 2)))) 1))) (* 1/2 (cos (* 2 kx))))> |
#<alt (* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))> |
#<alt (* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))> |
#<alt (* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))> |
#<alt (* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))> |
#<alt (* -1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx)))))> |
#<alt (* -1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx)))))> |
#<alt (* -1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx)))))> |
#<alt (* -1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx)))))> |
#<alt (+ 1 (* -1/2 (cos (* 2 ky))))> |
#<alt (+ 1 (+ (* -1 (pow kx 2)) (* -1/2 (cos (* 2 ky)))))> |
#<alt (+ 1 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (- (* 1/3 (pow kx 2)) 1))))> |
#<alt (+ 1 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (- (* (pow kx 2) (+ 1/3 (* -2/45 (pow kx 2)))) 1))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx))))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx))))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx))))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx))))))> |
#<alt (* 1/2 (cos (* 2 kx)))> |
#<alt (+ (* 1/2 (cos (* 2 kx))) (pow ky 2))> |
#<alt (+ (* 1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))))> |
#<alt (+ (* 1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx)))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx)))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx)))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx)))))> |
#<alt (pow kx 2)> |
#<alt (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))> |
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))> |
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 kx))))> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 kx))))> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 kx))))> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 kx))))> |
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))> |
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))> |
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))> |
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))> |
#<alt th> |
#<alt (* th (+ 1 (* -1/6 (pow th 2))))> |
#<alt (* th (+ 1 (* -1/6 (pow th 2))))> |
#<alt (* th (+ 1 (* -1/6 (pow th 2))))> |
#<alt (* -1/6 (pow th 3))> |
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))> |
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))> |
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))> |
#<alt (* -1/6 (pow th 3))> |
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))> |
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))> |
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow th 2)))> |
#<alt (+ 1 (* -1/6 (pow th 2)))> |
#<alt (+ 1 (* -1/6 (pow th 2)))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))> |
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))> |
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))> |
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))> |
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))> |
#<alt (pow th 2)> |
#<alt (pow th 2)> |
#<alt (pow th 2)> |
#<alt (pow th 2)> |
#<alt (pow th 2)> |
#<alt (pow th 2)> |
#<alt (pow th 2)> |
#<alt (pow th 2)> |
#<alt (pow th 2)> |
#<alt (pow th 2)> |
#<alt (pow th 2)> |
#<alt (pow th 2)> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* 1/120 (/ (* (pow ky 2) (sin th)) (sin kx))))) (/ (sin th) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (sin kx))) (* 1/120 (/ (sin th) (sin kx))))))) (/ (sin th) (sin kx))))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)> |
#<alt (/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)> |
#<alt (/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin ky) (sin th))) (+ (* 1/720 (* (sin ky) (sin th))) (* 1/6 (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th))))))))) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* th (sin ky)) (sin kx))> |
#<alt (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sin kx))) (/ (sin ky) (sin kx))))> |
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sin kx))))) (/ (sin ky) (sin kx))))> |
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sin kx))) (* 1/120 (/ (sin ky) (sin kx))))))) (/ (sin ky) (sin kx))))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ ky (sin kx))> |
#<alt (* ky (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (- (* 1/120 (/ (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/5040 (/ (pow ky 2) (sin kx))) (* 1/120 (/ 1 (sin kx))))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) kx)> |
#<alt (/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx)> |
#<alt (/ (+ (sin ky) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)> |
#<alt (/ (+ (sin ky) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (sin ky)) (+ (* 1/720 (sin ky)) (* 1/6 (+ (* -1/36 (sin ky)) (* 1/120 (sin ky)))))))) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt ky> |
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))> |
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))> |
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt kx> |
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))> |
#<alt (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))> |
#<alt (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))> |
#<alt (sin kx)> |
#<alt (sin kx)> |
#<alt (sin kx)> |
#<alt (sin kx)> |
#<alt (sin kx)> |
#<alt (sin kx)> |
#<alt (sin kx)> |
#<alt (sin kx)> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))> |
#<alt (pow kx 2)> |
#<alt (* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))))> |
#<alt (* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))))> |
#<alt (* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))))> |
#<alt (pow kx 2)> |
#<alt (* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))))> |
#<alt (* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))))> |
#<alt (* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))))> |
#<alt (pow kx 2)> |
#<alt (+ (pow kx 2) (pow ky 2))> |
#<alt (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow kx 2))> |
#<alt (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow kx 2))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))> |
#<alt (* 2 (pow kx 2))> |
#<alt (* 2 (pow kx 2))> |
#<alt (* 2 (pow kx 2))> |
#<alt (* 2 (pow kx 2))> |
#<alt (* 2 (pow kx 2))> |
#<alt (* 2 (pow kx 2))> |
#<alt (* 2 (pow kx 2))> |
#<alt (* 2 (pow kx 2))> |
#<alt (* 2 (pow kx 2))> |
#<alt (* 2 (pow kx 2))> |
#<alt (* 2 (pow kx 2))> |
#<alt (* 2 (pow kx 2))> |
#<alt (pow ky 2)> |
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))> |
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))> |
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))> |
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))> |
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))> |
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))> |
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))> |
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))> |
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#<alt (+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))> |
#<alt (+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))> |
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#<alt (* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))> |
#<alt (* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))> |
#<alt (* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))> |
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#<alt (* th (+ (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))))))> |
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#<alt (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))> |
#<alt (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))> |
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#<alt (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (pow ky 2) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))> |
#<alt (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))))> |
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#<alt (* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (pow (sin kx) 3))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (pow (sin kx) 3))) (* 1/120 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))))) (/ (sin th) (pow (sin kx) 3))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 9))) (* -1/5040 (/ (sin th) (pow (sin kx) 3))))))))) (/ (sin th) (pow (sin kx) 3))))> |
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#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))))))))))> |
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#<alt (+ (* (pow kx 6) (+ (* -1/2 (/ (sin th) (pow (sin ky) 8))) (* 1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 8))))) (/ (sin th) (pow (sin ky) 2)))> |
#<alt (+ (* (pow kx 6) (+ (* -1/2 (/ (sin th) (pow (sin ky) 8))) (* (pow kx 2) (+ (* -7/30 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 8))) (* 1/2 (/ (sin th) (pow (sin ky) 8))))))) (/ (sin th) (pow (sin ky) 2)))> |
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#<alt (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* (pow kx 2) (+ (* -5/16 (* (pow kx 2) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)))))))))> |
#<alt (/ 1 kx)> |
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#<alt (/ (+ 1 (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow kx 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (pow kx 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) (pow kx 6)))))) kx)> |
#<alt (/ -1 kx)> |
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#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow kx 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (pow kx 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) (pow kx 6)))))) kx))> |
#<alt (/ 1 kx)> |
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#<alt (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (* kx (* (pow ky 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))))) (* 1/2 (/ 1 (pow kx 3))))) (/ 1 kx))> |
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#<alt (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (/ (pow kx 2) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))> |
#<alt (/ 1 (pow kx 2))> |
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#<alt (/ (- (+ 1 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow kx 4))) (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))) (pow kx 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3) (pow kx 6)))) (+ (* -1 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow kx 4))) (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2)))))) (pow kx 2))> |
#<alt (/ 1 (pow kx 2))> |
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#<alt (/ (- (+ 1 (* -1 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3) (pow kx 6)))) (+ (* -1 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow kx 4))) (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2)))))) (pow kx 2))> |
#<alt (/ 1 (pow kx 2))> |
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#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))> |
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#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))> |
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#<alt (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 3/8 (* (* (pow kx 2) (sin ky)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))))))> |
#<alt (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -5/16 (* (* (pow kx 2) (sin ky)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 7))))) (* 3/8 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))))))))> |
#<alt (/ (sin ky) kx)> |
#<alt (/ (+ (sin ky) (* -1/2 (/ (* (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow kx 2)))) kx)> |
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow kx 2))) (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow kx 4))))) kx)> |
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow kx 2))) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow kx 4))) (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (pow kx 6)))))) kx)> |
#<alt (* -1 (/ (sin ky) kx))> |
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#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow kx 2))) (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow kx 4))))) kx))> |
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow kx 2))) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow kx 4))) (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (pow kx 6)))))) kx))> |
#<alt (/ ky kx)> |
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))> |
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* 1/12 (/ 1 (pow kx 3)))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))> |
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/12 (/ 1 (pow kx 3))) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* kx (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8))))))) (* -1/12 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* 1/5040 (/ 1 kx)) (* 1/240 (/ 1 (pow kx 3)))))))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))))> |
#<alt (* 2 (pow kx 2))> |
#<alt (* (pow kx 2) (+ 2 (* -2/3 (pow kx 2))))> |
#<alt (* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3))))> |
#<alt (* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3))))> |
#<alt (- 1 (cos (* 2 kx)))> |
#<alt (- 1 (cos (* 2 kx)))> |
#<alt (- 1 (cos (* 2 kx)))> |
#<alt (- 1 (cos (* 2 kx)))> |
#<alt (- 1 (cos (neg (* -2 kx))))> |
#<alt (- 1 (cos (neg (* -2 kx))))> |
#<alt (- 1 (cos (neg (* -2 kx))))> |
#<alt (- 1 (cos (neg (* -2 kx))))> |
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))> |
#<alt (+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* 1/2 (* (pow kx 2) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))> |
#<alt (+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))> |
#<alt (+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/2 (* (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))))> |
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))> |
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))> |
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))> |
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))> |
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))> |
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))> |
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))> |
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))> |
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))> |
#<alt (+ (* 1/2 (* (/ (pow ky 2) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))))> |
#<alt (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))> |
#<alt (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx))))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))> |
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))> |
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))> |
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))> |
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))> |
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))> |
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))> |
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))> |
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))> |
132 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | ky | @ | 0 | (* (* (sqrt (/ 1 (+ (* (* 2 (* kx kx)) 1/2) (+ 1/2 (* -1/2 (cos (+ ky ky))))))) (sin ky)) (sin th)) |
| 4.0ms | th | @ | inf | (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 6) (pow (sin ky) 6)))) |
| 3.0ms | ky | @ | inf | (* (/ (sin ky) (sin kx)) (sin th)) |
| 2.0ms | ky | @ | inf | (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 6) (pow (sin ky) 6)))) |
| 2.0ms | kx | @ | inf | (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 6) (pow (sin ky) 6)))) |
| 1× | batch-egg-rewrite |
| 1 696× | lower-fma.f32 |
| 1 686× | lower-fma.f64 |
| 1 206× | lower-*.f32 |
| 1 186× | lower-*.f64 |
| 878× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 307 |
| 0 | 91 | 307 |
| 1 | 341 | 215 |
| 0 | 2922 | 194 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (fma.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(-.f64 #s(literal 1/2 binary64) (fma.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 #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 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) |
(*.f64 th th) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin.f64 ky) |
(sin.f64 kx) |
(fma.f64 (*.f64 #s(literal 2 binary64) (*.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 2 binary64) (*.f64 kx kx)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) (sin.f64 th)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (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 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) |
(/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) |
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) |
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))) |
| Outputs |
|---|
(+.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 8 binary64)) (-.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) |
(-.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
(fma.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
(fma.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) (*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 1/4 binary64) (*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 1/2 binary64) (*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 8 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 12 binary64)) (pow.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 3 binary64))))) |
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(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) |
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) |
(*.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sin.f64 ky)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64)))))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64)))))) |
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64)))))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64))))) |
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 kx kx)) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 kx kx)) (*.f64 #s(literal 1 binary64) (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 kx kx)) (*.f64 #s(literal 1 binary64) (*.f64 kx kx)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 kx kx)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 kx kx)) (*.f64 #s(literal 1 binary64) (*.f64 kx kx)) (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 kx kx)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1 binary64) (*.f64 kx kx) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 kx kx)))) |
(+.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)) |
(+.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) (+.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) (+.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx kx))))) (+.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) (+.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx kx)))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64))) (fma.f64 (cos.f64 (+.f64 kx kx)) (+.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx kx)))))) (+.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) (+.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx kx))))))) (neg.f64 (+.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) (neg.f64 (cos.f64 (+.f64 kx kx)))) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 kx kx))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) (neg.f64 (cos.f64 (+.f64 kx kx))))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 kx kx))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) (+.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx kx)))))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) |
(hypot.f64 (sin.f64 ky) (sin.f64 ky)) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(hypot.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 1 binary64))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(hypot.f64 (sin.f64 kx) (sin.f64 kx)) |
(hypot.f64 (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 1 binary64))) |
(hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 1 binary64)) (sin.f64 ky)) |
(hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 1 binary64)) (sin.f64 kx)) |
(hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 1 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) |
(pow.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 8 626× | lower-fma.f64 |
| 8 626× | lower-fma.f32 |
| 6 942× | lower-+.f64 |
| 6 942× | lower-+.f32 |
| 6 540× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1074 | 12121 |
| 1 | 3518 | 11652 |
| 0 | 8054 | 10768 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow (sin ky) 4) |
(+ (* -1 (* (pow kx 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow (sin ky) 4)) |
(+ (* (pow kx 2) (+ (* -1 (* (pow kx 2) (- (* -1/3 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1))) (* -1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (pow (sin ky) 4)) |
(+ (* (pow kx 2) (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ 2/3 (* 2/45 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* -1 (- (* -1/3 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1)))))) (pow (sin ky) 4)) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4)) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4)) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4)) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4)) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (neg (* -2 kx))))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx))))))) (pow (sin ky) 4)) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (neg (* -2 kx))))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx))))))) (pow (sin ky) 4)) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (neg (* -2 kx))))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx))))))) (pow (sin ky) 4)) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (neg (* -2 kx))))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx))))))) (pow (sin ky) 4)) |
(* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (- (* 1/2 (cos (* 2 kx))) 1/2))) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (- (* 1/2 (cos (* 2 kx))) 1/2))) (* -1 (* (pow ky 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))))) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (- (* 1/2 (cos (* 2 kx))) 1/2))) (* (pow ky 2) (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ 1 (* 1/3 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (- (* 1/2 (cos (* 2 kx))) 1/2))) (* (pow ky 2) (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ 1 (+ (* 1/3 (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow ky 2) (- (* -2/45 (+ 1/2 (* -1/2 (cos (* 2 kx))))) 2/3)))))))) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4)) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4)) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4)) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4)) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4)) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4)) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4)) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4)) |
(* -1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) |
(- (pow kx 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) |
(- (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (+ 1/2 (* -1/2 (cos (* 2 ky))))) |
(- (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (+ 1/2 (* -1/2 (cos (* 2 ky))))) |
(* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx)))))) |
(* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx)))))) |
(* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx)))))) |
(* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx)))))) |
(- 1/2 (* 1/2 (cos (* 2 kx)))) |
(- (+ 1/2 (* -1 (pow ky 2))) (* 1/2 (cos (* 2 kx)))) |
(- (+ 1/2 (* (pow ky 2) (- (* 1/3 (pow ky 2)) 1))) (* 1/2 (cos (* 2 kx)))) |
(- (+ 1/2 (* (pow ky 2) (- (* (pow ky 2) (+ 1/3 (* -2/45 (pow ky 2)))) 1))) (* 1/2 (cos (* 2 kx)))) |
(* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(* -1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx))))) |
(* -1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx))))) |
(* -1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx))))) |
(* -1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx))))) |
(+ 1 (* -1/2 (cos (* 2 ky)))) |
(+ 1 (+ (* -1 (pow kx 2)) (* -1/2 (cos (* 2 ky))))) |
(+ 1 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (- (* 1/3 (pow kx 2)) 1)))) |
(+ 1 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (- (* (pow kx 2) (+ 1/3 (* -2/45 (pow kx 2)))) 1)))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx)))))) |
(* 1/2 (cos (* 2 kx))) |
(+ (* 1/2 (cos (* 2 kx))) (pow ky 2)) |
(+ (* 1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))) |
(+ (* 1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx))))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx))))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx))))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx))))) |
(pow kx 2) |
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))) |
(+ 1/2 (* -1/2 (cos (* 2 kx)))) |
(+ 1/2 (* -1/2 (cos (* 2 kx)))) |
(+ 1/2 (* -1/2 (cos (* 2 kx)))) |
(+ 1/2 (* -1/2 (cos (* 2 kx)))) |
(+ 1/2 (* -1/2 (cos (neg (* -2 kx))))) |
(+ 1/2 (* -1/2 (cos (neg (* -2 kx))))) |
(+ 1/2 (* -1/2 (cos (neg (* -2 kx))))) |
(+ 1/2 (* -1/2 (cos (neg (* -2 kx))))) |
th |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(* -1/6 (pow th 3)) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(* -1/6 (pow th 3)) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
1 |
(+ 1 (* -1/6 (pow th 2))) |
(+ 1 (* -1/6 (pow th 2))) |
(+ 1 (* -1/6 (pow th 2))) |
(* -1/6 (pow th 2)) |
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6)) |
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6)) |
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6)) |
(* -1/6 (pow th 2)) |
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6)) |
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6)) |
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6)) |
(pow th 2) |
(pow th 2) |
(pow th 2) |
(pow th 2) |
(pow th 2) |
(pow th 2) |
(pow th 2) |
(pow th 2) |
(pow th 2) |
(pow th 2) |
(pow th 2) |
(pow th 2) |
(/ (* ky (sin th)) (sin kx)) |
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* 1/120 (/ (* (pow ky 2) (sin th)) (sin kx))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (sin kx))) (* 1/120 (/ (sin th) (sin kx))))))) (/ (sin th) (sin kx)))) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) kx) |
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx) |
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx) |
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin ky) (sin th))) (+ (* 1/720 (* (sin ky) (sin th))) (* 1/6 (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th))))))))) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* th (sin ky)) (sin kx)) |
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sin kx))) (/ (sin ky) (sin kx)))) |
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sin kx))))) (/ (sin ky) (sin kx)))) |
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sin kx))) (* 1/120 (/ (sin ky) (sin kx))))))) (/ (sin ky) (sin kx)))) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ ky (sin kx)) |
(* ky (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx)))) |
(* ky (+ (* (pow ky 2) (- (* 1/120 (/ (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx)))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/5040 (/ (pow ky 2) (sin kx))) (* 1/120 (/ 1 (sin kx))))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx)))) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) kx) |
(/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx) |
(/ (+ (sin ky) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx) |
(/ (+ (sin ky) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (sin ky)) (+ (* 1/720 (sin ky)) (* 1/6 (+ (* -1/36 (sin ky)) (* 1/120 (sin ky)))))))) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
ky |
(* ky (+ 1 (* -1/6 (pow ky 2)))) |
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) |
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
kx |
(* kx (+ 1 (* -1/6 (pow kx 2)))) |
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6)))) |
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))) |
(sin kx) |
(sin kx) |
(sin kx) |
(sin kx) |
(sin kx) |
(sin kx) |
(sin kx) |
(sin kx) |
(+ 1/2 (* -1/2 (cos (* 2 ky)))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))) |
(pow kx 2) |
(* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2)))))) |
(* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2)))))) |
(* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2)))))) |
(pow kx 2) |
(* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2)))))) |
(* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2)))))) |
(* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2)))))) |
(pow kx 2) |
(+ (pow kx 2) (pow ky 2)) |
(+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow kx 2)) |
(+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow kx 2)) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))) |
(* 2 (pow kx 2)) |
(* 2 (pow kx 2)) |
(* 2 (pow kx 2)) |
(* 2 (pow kx 2)) |
(* 2 (pow kx 2)) |
(* 2 (pow kx 2)) |
(* 2 (pow kx 2)) |
(* 2 (pow kx 2)) |
(* 2 (pow kx 2)) |
(* 2 (pow kx 2)) |
(* 2 (pow kx 2)) |
(* 2 (pow kx 2)) |
(pow ky 2) |
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))) |
(+ 1/2 (* -1/2 (cos (* 2 ky)))) |
(+ 1/2 (* -1/2 (cos (* 2 ky)))) |
(+ 1/2 (* -1/2 (cos (* 2 ky)))) |
(+ 1/2 (* -1/2 (cos (* 2 ky)))) |
(+ 1/2 (* -1/2 (cos (neg (* -2 ky))))) |
(+ 1/2 (* -1/2 (cos (neg (* -2 ky))))) |
(+ 1/2 (* -1/2 (cos (neg (* -2 ky))))) |
(+ 1/2 (* -1/2 (cos (neg (* -2 ky))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) |
(+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) |
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 3/8 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)))))))) |
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -5/16 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 7))))) (* 3/8 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)))))))))) |
(/ (* (sin ky) (sin th)) kx) |
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (* (sin ky) (sin th))) kx) |
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow kx 4))) (* (sin ky) (sin th)))) kx) |
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (pow kx 6))) (* (sin ky) (sin th))))) kx) |
(* -1 (/ (* (sin ky) (sin th)) kx)) |
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (* (sin ky) (sin th))) kx)) |
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow kx 4))) (* (sin ky) (sin th)))) kx)) |
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (pow kx 6))) (* (sin ky) (sin th))))) kx)) |
(/ (* ky (sin th)) kx) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ (sin th) kx))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (+ (* -1/12 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(+ 1/2 (* -1/2 (cos (* 2 ky)))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))) |
(* 1/2 (- 1 (cos (* 2 kx)))) |
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)) |
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))) |
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) |
(+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) |
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))) |
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))) |
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))))))) |
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* th (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* th (+ (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))) |
(* th (+ (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))))) |
(* th (+ (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) |
(+ (* -1/2 (* (* (pow kx 2) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) |
(+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))) |
(+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
(+ (* -2 (* (/ (* (pow ky 2) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) |
(+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (pow ky 2) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))) |
(+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(/ (* ky (sin th)) (pow (sin kx) 3)) |
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (pow (sin kx) 3)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (pow (sin kx) 3))) (* 1/120 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))))) (/ (sin th) (pow (sin kx) 3)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 9))) (* -1/5040 (/ (sin th) (pow (sin kx) 3))))))))) (/ (sin th) (pow (sin kx) 3)))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6)))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(/ (sin th) (pow (sin ky) 2)) |
(+ (* -1/2 (/ (* (pow kx 6) (sin th)) (pow (sin ky) 8))) (/ (sin th) (pow (sin ky) 2))) |
(+ (* (pow kx 6) (+ (* -1/2 (/ (sin th) (pow (sin ky) 8))) (* 1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 8))))) (/ (sin th) (pow (sin ky) 2))) |
(+ (* (pow kx 6) (+ (* -1/2 (/ (sin th) (pow (sin ky) 8))) (* (pow kx 2) (+ (* -7/30 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 8))) (* 1/2 (/ (sin th) (pow (sin ky) 8))))))) (/ (sin th) (pow (sin ky) 2))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) |
(+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* -1/2 (* (pow kx 2) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) |
(+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* 3/8 (* (pow kx 2) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)))))))) |
(+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* (pow kx 2) (+ (* -5/16 (* (pow kx 2) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))))))) |
(/ 1 kx) |
(/ (+ 1 (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow kx 2)))) kx) |
(/ (+ 1 (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow kx 2))) (* -1/2 (/ (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (pow kx 4))))) kx) |
(/ (+ 1 (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow kx 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (pow kx 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) (pow kx 6)))))) kx) |
(/ -1 kx) |
(* -1 (/ (+ 1 (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow kx 2)))) kx)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow kx 2))) (* -1/2 (/ (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (pow kx 4))))) kx)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow kx 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (pow kx 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) (pow kx 6)))))) kx)) |
(/ 1 kx) |
(+ (* -1/2 (/ (pow ky 2) (pow kx 3))) (/ 1 kx)) |
(+ (* (pow ky 2) (- (* 1/2 (* kx (* (pow ky 2) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* 1/2 (/ 1 (pow kx 3))))) (/ 1 kx)) |
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (* kx (* (pow ky 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))))) (* 1/2 (/ 1 (pow kx 3))))) (/ 1 kx)) |
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))) |
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))) |
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))) |
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))) |
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))) |
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))) |
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))) |
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))) |
(/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) |
(+ (* -1 (/ (pow kx 2) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) |
(+ (* (pow kx 2) (- (/ (pow kx 2) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) |
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (/ (pow kx 2) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) |
(/ 1 (pow kx 2)) |
(/ (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow kx 2)))) (pow kx 2)) |
(/ (- (+ 1 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow kx 4))) (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))) (pow kx 2)) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3) (pow kx 6)))) (+ (* -1 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow kx 4))) (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2)))))) (pow kx 2)) |
(/ 1 (pow kx 2)) |
(/ (+ 1 (* -1 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow kx 2)))) (pow kx 2)) |
(/ (- (+ 1 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow kx 4))) (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))) (pow kx 2)) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3) (pow kx 6)))) (+ (* -1 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow kx 4))) (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2)))))) (pow kx 2)) |
(/ 1 (pow kx 2)) |
(+ (* -1 (/ (pow ky 2) (pow kx 4))) (/ 1 (pow kx 2))) |
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/3 (/ 1 (pow kx 4))) (/ 1 (pow kx 6)))) (/ 1 (pow kx 4)))) (/ 1 (pow kx 2))) |
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))) (+ (* 1/3 (/ 1 (pow kx 4))) (/ 1 (pow kx 6))))) (/ 1 (pow kx 4)))) (/ 1 (pow kx 2))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) |
(+ (* -1/2 (* (* (pow kx 2) (sin ky)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) |
(+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 3/8 (* (* (pow kx 2) (sin ky)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)))))))) |
(+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -5/16 (* (* (pow kx 2) (sin ky)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 7))))) (* 3/8 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)))))))))) |
(/ (sin ky) kx) |
(/ (+ (sin ky) (* -1/2 (/ (* (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow kx 2)))) kx) |
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow kx 2))) (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow kx 4))))) kx) |
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow kx 2))) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow kx 4))) (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (pow kx 6)))))) kx) |
(* -1 (/ (sin ky) kx)) |
(* -1 (/ (+ (sin ky) (* -1/2 (/ (* (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow kx 2)))) kx)) |
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow kx 2))) (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow kx 4))))) kx)) |
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow kx 2))) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow kx 4))) (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (pow kx 6)))))) kx)) |
(/ ky kx) |
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* 1/12 (/ 1 (pow kx 3)))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/12 (/ 1 (pow kx 3))) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* kx (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8))))))) (* -1/12 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* 1/5040 (/ 1 kx)) (* 1/240 (/ 1 (pow kx 3)))))))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))))) |
(* 2 (pow kx 2)) |
(* (pow kx 2) (+ 2 (* -2/3 (pow kx 2)))) |
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3)))) |
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3)))) |
(- 1 (cos (* 2 kx))) |
(- 1 (cos (* 2 kx))) |
(- 1 (cos (* 2 kx))) |
(- 1 (cos (* 2 kx))) |
(- 1 (cos (neg (* -2 kx)))) |
(- 1 (cos (neg (* -2 kx)))) |
(- 1 (cos (neg (* -2 kx)))) |
(- 1 (cos (neg (* -2 kx)))) |
(sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) |
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* 1/2 (* (pow kx 2) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))) |
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))) |
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/2 (* (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))) |
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) |
(+ (* 1/2 (* (/ (pow ky 2) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) |
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))) |
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx))))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
| Outputs |
|---|
(pow (sin ky) 4) |
(pow.f64 (sin.f64 ky) #s(literal 4 binary64)) |
(+ (* -1 (* (pow kx 2) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow (sin ky) 4)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(+ (* (pow kx 2) (+ (* -1 (* (pow kx 2) (- (* -1/3 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1))) (* -1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (pow (sin ky) 4)) |
(fma.f64 (*.f64 kx kx) (neg.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal -1/3 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(+ (* (pow kx 2) (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ 2/3 (* 2/45 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* -1 (- (* -1/3 (+ 1/2 (* -1/2 (cos (* 2 ky))))) 1)))))) (pow (sin ky) 4)) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (neg.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2/45 binary64) #s(literal 2/3 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal -1/3 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (neg (* -2 kx))))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx))))))) (pow (sin ky) 4)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (neg (* -2 kx))))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx))))))) (pow (sin ky) 4)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (neg (* -2 kx))))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx))))))) (pow (sin ky) 4)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (neg (* -2 kx))))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx))))))) (pow (sin ky) 4)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (- (* 1/2 (cos (* 2 kx))) 1/2))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64)))) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (- (* 1/2 (cos (* 2 kx))) 1/2))) (* -1 (* (pow ky 2) (+ 1/2 (* -1/2 (cos (* 2 kx))))))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64)) (*.f64 ky ky)))) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (- (* 1/2 (cos (* 2 kx))) 1/2))) (* (pow ky 2) (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ 1 (* 1/3 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))) |
(+.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64)) (*.f64 ky ky)))) (*.f64 (*.f64 ky ky) (*.f64 (*.f64 ky ky) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64))))) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (- (* 1/2 (cos (* 2 kx))) 1/2))) (* (pow ky 2) (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ 1 (+ (* 1/3 (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow ky 2) (- (* -2/45 (+ 1/2 (* -1/2 (cos (* 2 kx))))) 2/3)))))))) |
(+.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64)) (*.f64 ky ky)))) (*.f64 (*.f64 ky ky) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal -2/45 binary64) #s(literal -2/3 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) #s(literal 1 binary64)))))) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 kx)))) (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx)))))) (pow (sin ky) 4)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(* -1 (+ 1/2 (* -1/2 (cos (* 2 ky))))) |
(neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(- (pow kx 2) (+ 1/2 (* -1/2 (cos (* 2 ky))))) |
(+.f64 (fma.f64 kx kx #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) |
(- (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (+ 1/2 (* -1/2 (cos (* 2 ky))))) |
(-.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(- (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (+ 1/2 (* -1/2 (cos (* 2 ky))))) |
(+.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) |
(* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) |
(* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) |
(* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) |
(* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) |
(* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx)))))) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) |
(* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx)))))) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) |
(* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx)))))) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) |
(* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx)))))) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) |
(- 1/2 (* 1/2 (cos (* 2 kx)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(- (+ 1/2 (* -1 (pow ky 2))) (* 1/2 (cos (* 2 kx)))) |
(fma.f64 ky (neg.f64 ky) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(- (+ 1/2 (* (pow ky 2) (- (* 1/3 (pow ky 2)) 1))) (* 1/2 (cos (* 2 kx)))) |
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/3 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(- (+ 1/2 (* (pow ky 2) (- (* (pow ky 2) (+ 1/3 (* -2/45 (pow ky 2)))) 1))) (* 1/2 (cos (* 2 kx)))) |
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) |
(* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) |
(* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) |
(* -1 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) |
(* -1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx))))) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) |
(* -1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx))))) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) |
(* -1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx))))) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) |
(* -1 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx))))) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) |
(+ 1 (* -1/2 (cos (* 2 ky)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (pow kx 2)) (* -1/2 (cos (* 2 ky))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx (neg.f64 kx) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (- (* 1/3 (pow kx 2)) 1)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (- (* (pow kx 2) (+ 1/3 (* -2/45 (pow kx 2)))) 1)))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx)))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx)))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx)))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (neg (* -2 kx)))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* 1/2 (cos (* 2 kx))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) |
(+ (* 1/2 (cos (* 2 kx))) (pow ky 2)) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 ky ky)) |
(+ (* 1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/3 binary64) (*.f64 ky ky) #s(literal 1 binary64)))) |
(+ (* 1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 2/45 binary64) (*.f64 ky ky) #s(literal -1/3 binary64)) #s(literal 1 binary64)))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (cos (* 2 kx))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (cos (* 2 kx))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(pow kx 2) |
(*.f64 kx kx) |
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) |
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) |
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))) |
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(+ 1/2 (* -1/2 (cos (* 2 kx)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* 2 kx)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* 2 kx)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* 2 kx)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (neg (* -2 kx))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (neg (* -2 kx))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (neg (* -2 kx))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (neg (* -2 kx))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
th |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) |
(* -1/6 (pow th 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(* -1/6 (pow th 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
(*.f64 (*.f64 th (*.f64 th th)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 th th))))) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
(*.f64 (*.f64 th (*.f64 th th)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 th th))))) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
(*.f64 (*.f64 th (*.f64 th th)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 th th))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow th 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow th 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow th 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6)) |
(*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6)) |
(*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6)) |
(*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6)) |
(*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6)) |
(*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6)) |
(*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(pow th 2) |
(*.f64 th th) |
(pow th 2) |
(*.f64 th th) |
(pow th 2) |
(*.f64 th th) |
(pow th 2) |
(*.f64 th th) |
(pow th 2) |
(*.f64 th th) |
(pow th 2) |
(*.f64 th th) |
(pow th 2) |
(*.f64 th th) |
(pow th 2) |
(*.f64 th th) |
(pow th 2) |
(*.f64 th th) |
(pow th 2) |
(*.f64 th th) |
(pow th 2) |
(*.f64 th th) |
(pow th 2) |
(*.f64 th th) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx)))) |
(*.f64 ky (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (/.f64 (sin.f64 th) (sin.f64 kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* 1/120 (/ (* (pow ky 2) (sin th)) (sin kx))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 1/120 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (sin kx))) (* 1/120 (/ (sin th) (sin kx))))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal -1/5040 binary64) (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))) (/.f64 (sin.f64 th) (sin.f64 kx)))) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx) |
(/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 7/360 binary64)) (*.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (sin.f64 th))) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin ky) (sin th))) (+ (* 1/720 (* (sin ky) (sin th))) (* 1/6 (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th))))))))) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx) |
(/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (neg.f64 (*.f64 kx kx)) (fma.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 1/840 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) #s(literal -7/360 binary64))))) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 7/360 binary64))) (*.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (sin.f64 th))) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/ (* th (sin ky)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) |
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sin kx))) (/ (sin ky) (sin kx)))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 th th) (/.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (sin.f64 kx)))) |
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sin kx))))) (/ (sin ky) (sin kx)))) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) (/.f64 (sin.f64 ky) (sin.f64 kx))))) (/.f64 (sin.f64 ky) (sin.f64 kx)))) |
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sin kx))) (* 1/120 (/ (sin ky) (sin kx))))))) (/ (sin ky) (sin kx)))) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 th th) (/.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (*.f64 (sin.f64 ky) #s(literal 1/120 binary64)) (sin.f64 kx))) (/.f64 (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (sin.f64 kx))) (/.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(* ky (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx)))) |
(fma.f64 ky (/.f64 (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) (sin.f64 kx)) (/.f64 ky (sin.f64 kx))) |
(* ky (+ (* (pow ky 2) (- (* 1/120 (/ (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/5040 (/ (pow ky 2) (sin kx))) (* 1/120 (/ 1 (sin kx))))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx)))) |
(fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 ky ky) (sin.f64 kx)) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)))) (/.f64 ky (sin.f64 kx))) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) kx) |
(/.f64 (sin.f64 ky) kx) |
(/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) |
(/ (+ (sin ky) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx) |
(/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (*.f64 (sin.f64 ky) #s(literal 7/360 binary64)) (*.f64 (sin.f64 ky) #s(literal 1/6 binary64))) (sin.f64 ky)) kx) |
(/ (+ (sin ky) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (sin ky)) (+ (* 1/720 (sin ky)) (* 1/6 (+ (* -1/36 (sin ky)) (* 1/120 (sin ky)))))))) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx) |
(/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (neg.f64 (*.f64 kx kx)) (fma.f64 (sin.f64 ky) #s(literal 1/840 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) #s(literal -7/360 binary64)))) (*.f64 (sin.f64 ky) #s(literal 7/360 binary64))) (*.f64 (sin.f64 ky) #s(literal 1/6 binary64))) (sin.f64 ky)) kx) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
ky |
(* ky (+ 1 (* -1/6 (pow ky 2)))) |
(fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) |
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) |
(fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky) |
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) |
(fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
kx |
(* kx (+ 1 (* -1/6 (pow kx 2)))) |
(fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx) |
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6)))) |
(fma.f64 kx (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) kx) |
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))) |
(fma.f64 kx (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(+ 1/2 (* -1/2 (cos (* 2 ky)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))) |
(pow kx 2) |
(*.f64 kx kx) |
(* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2)))))) |
(*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal -2 binary64))) (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) #s(literal 1 binary64)))) |
(* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2)))))) |
(*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal -2 binary64))) (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) #s(literal 1 binary64)))) |
(* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2)))))) |
(*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal -2 binary64))) (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) #s(literal 1 binary64)))) |
(pow kx 2) |
(*.f64 kx kx) |
(* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2)))))) |
(*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal -2 binary64))) (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) #s(literal 1 binary64)))) |
(* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2)))))) |
(*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal -2 binary64))) (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) #s(literal 1 binary64)))) |
(* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2)))))) |
(*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal -2 binary64))) (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) #s(literal 1 binary64)))) |
(pow kx 2) |
(*.f64 kx kx) |
(+ (pow kx 2) (pow ky 2)) |
(fma.f64 ky ky (*.f64 kx kx)) |
(+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow kx 2)) |
(fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/3 binary64) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 kx kx)) |
(+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow kx 2)) |
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 2/45 binary64) (*.f64 ky ky) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (*.f64 kx kx)) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))) |
(* 2 (pow kx 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 kx kx)) |
(* 2 (pow kx 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 kx kx)) |
(* 2 (pow kx 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 kx kx)) |
(* 2 (pow kx 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 kx kx)) |
(* 2 (pow kx 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 kx kx)) |
(* 2 (pow kx 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 kx kx)) |
(* 2 (pow kx 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 kx kx)) |
(* 2 (pow kx 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 kx kx)) |
(* 2 (pow kx 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 kx kx)) |
(* 2 (pow kx 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 kx kx)) |
(* 2 (pow kx 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 kx kx)) |
(* 2 (pow kx 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 kx kx)) |
(pow ky 2) |
(*.f64 ky ky) |
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) |
(*.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/3 binary64) (*.f64 ky ky) #s(literal 1 binary64))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) |
(*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 2/45 binary64) (*.f64 ky ky) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))) |
(*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(+ 1/2 (* -1/2 (cos (* 2 ky)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* 2 ky)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* 2 ky)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* 2 ky)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (neg (* -2 ky))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (neg (* -2 ky))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (neg (* -2 ky))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (neg (* -2 ky))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx kx) (*.f64 (sin.f64 ky) (sin.f64 th)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 3/8 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)))))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 kx kx) (*.f64 (sin.f64 ky) (sin.f64 th)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -5/16 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 7))))) (* 3/8 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)))))))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (*.f64 kx kx) (*.f64 (sin.f64 ky) (sin.f64 th)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 7 binary64)))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 5 binary64)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (* (sin ky) (sin th))) kx) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 kx kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow kx 4))) (* (sin ky) (sin th)))) kx) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 th)) (*.f64 kx kx)) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (pow kx 6))) (* (sin ky) (sin th))))) kx) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 th)) (*.f64 kx kx)) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (pow.f64 kx #s(literal 6 binary64))) (*.f64 (sin.f64 ky) (sin.f64 th)))) kx) |
(* -1 (/ (* (sin ky) (sin th)) kx)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (neg.f64 kx)) |
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (* (sin ky) (sin th))) kx)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 kx kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 kx)) |
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow kx 4))) (* (sin ky) (sin th)))) kx)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 th)) (*.f64 kx kx)) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 kx)) |
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (pow kx 6))) (* (sin ky) (sin th))))) kx)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 th)) (*.f64 kx kx)) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (pow.f64 kx #s(literal 6 binary64))) (*.f64 (sin.f64 ky) (sin.f64 th)))) (neg.f64 kx)) |
(/ (* ky (sin th)) kx) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))) (/.f64 (sin.f64 th) kx))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ (sin th) kx))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) kx) (fma.f64 (*.f64 #s(literal 1/2 binary64) kx) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))) (/.f64 (sin.f64 th) kx))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (+ (* -1/12 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) kx) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx (sin.f64 th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))) (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 kx #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 4 binary64))))))) (fma.f64 (/.f64 (sin.f64 th) (*.f64 kx (*.f64 kx kx))) #s(literal -1/240 binary64) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) kx) (*.f64 (*.f64 #s(literal -1/12 binary64) kx) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) kx) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))) (/.f64 (sin.f64 th) kx))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (sin.f64 ky)))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (fma.f64 (sin.f64 ky) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 (sin.f64 ky) #s(literal 1/120 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(+ 1/2 (* -1/2 (cos (* 2 ky)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))) |
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(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))) |
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(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))) |
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(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))) |
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(* 1/2 (- 1 (cos (* 2 kx)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)) |
(fma.f64 ky ky (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))) |
(fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/3 binary64) (*.f64 ky ky) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))) |
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 2/45 binary64) (*.f64 ky ky) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
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(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
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(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
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(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
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(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
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(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
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(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
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(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
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(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
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(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))) |
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(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))))) |
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(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) |
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(+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) |
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(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))) |
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(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) |
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) |
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (fma.f64 (*.f64 ky ky) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 #s(literal 8/45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 #s(literal 8/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) #s(literal -1/60 binary64) (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* th (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* th (+ (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))) |
(*.f64 th (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))) |
(* th (+ (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))) |
(* th (+ (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))) |
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(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
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(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
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(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) |
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(+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))) |
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(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
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(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
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(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
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(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
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(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
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(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
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(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
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(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
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(* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
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(+ (* -2 (* (/ (* (pow ky 2) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) |
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(fma.f64 (*.f64 ky ky) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))) |
(+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))) |
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 ky ky) (sin.f64 th)) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 #s(literal 8/45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 #s(literal 8/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(/ (* ky (sin th)) (pow (sin kx) 3)) |
(/.f64 (*.f64 ky (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) |
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (pow (sin kx) 3)))) |
(*.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky ky) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (pow (sin kx) 3))) (* 1/120 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))))) (/ (sin th) (pow (sin kx) 3)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (*.f64 ky ky) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 9))) (* -1/5040 (/ (sin th) (pow (sin kx) 3))))))))) (/ (sin th) (pow (sin kx) 3)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 9 binary64))) (/.f64 (*.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (sin.f64 ky)))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6)))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (fma.f64 (sin.f64 ky) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6)))))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 (sin.f64 ky) #s(literal 1/120 binary64)))) (*.f64 (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) |
(/ (sin th) (pow (sin ky) 2)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(+ (* -1/2 (/ (* (pow kx 6) (sin th)) (pow (sin ky) 8))) (/ (sin th) (pow (sin ky) 2))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx #s(literal 6 binary64))) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(+ (* (pow kx 6) (+ (* -1/2 (/ (sin th) (pow (sin ky) 8))) (* 1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 8))))) (/ (sin th) (pow (sin ky) 2))) |
(fma.f64 (pow.f64 kx #s(literal 6 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(+ (* (pow kx 6) (+ (* -1/2 (/ (sin th) (pow (sin ky) 8))) (* (pow kx 2) (+ (* -7/30 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 8))) (* 1/2 (/ (sin th) (pow (sin ky) 8))))))) (/ (sin th) (pow (sin ky) 2))) |
(fma.f64 (pow.f64 kx #s(literal 6 binary64)) (fma.f64 (*.f64 kx kx) (fma.f64 (/.f64 (*.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) #s(literal -7/30 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
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(/ (- (+ 1 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow kx 4))) (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))) (pow kx 2)) |
(/.f64 (+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 kx #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal -2 binary64))) (*.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))) (*.f64 kx kx)) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3) (pow kx 6)))) (+ (* -1 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow kx 4))) (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2)))))) (pow kx 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 kx #s(literal 6 binary64)))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal -2 binary64))) (*.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 kx #s(literal 4 binary64))))) (*.f64 kx kx)) |
(/ 1 (pow kx 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 kx kx)) |
(+ (* -1 (/ (pow ky 2) (pow kx 4))) (/ 1 (pow kx 2))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx)) (/.f64 (*.f64 ky ky) (pow.f64 kx #s(literal 4 binary64)))) |
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/3 (/ 1 (pow kx 4))) (/ 1 (pow kx 6)))) (/ 1 (pow kx 4)))) (/ 1 (pow kx 2))) |
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 kx #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) |
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))) (+ (* 1/3 (/ 1 (pow kx 4))) (/ 1 (pow kx 6))))) (/ 1 (pow kx 4)))) (/ 1 (pow kx 2))) |
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 kx #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 6 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 kx #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) |
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(+ (* -1/2 (* (* (pow kx 2) (sin ky)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 ky) (*.f64 kx kx))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 3/8 (* (* (pow kx 2) (sin ky)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)))))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (sin.f64 ky) (*.f64 kx kx))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 5 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -5/16 (* (* (pow kx 2) (sin ky)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 7))))) (* 3/8 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5)))))))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sin.f64 ky) (*.f64 kx kx))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 7 binary64)))) (*.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 5 binary64)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(/ (sin ky) kx) |
(/.f64 (sin.f64 ky) kx) |
(/ (+ (sin ky) (* -1/2 (/ (* (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow kx 2)))) kx) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 kx kx)) (sin.f64 ky)) kx) |
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow kx 2))) (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow kx 4))))) kx) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 ky) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 kx kx)) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64)) (pow.f64 kx #s(literal 4 binary64))))) (sin.f64 ky)) kx) |
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow kx 2))) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow kx 4))) (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (pow kx 6)))))) kx) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 kx kx)) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (/.f64 (*.f64 (sin.f64 ky) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (pow.f64 kx #s(literal 6 binary64)))) (sin.f64 ky)) kx) |
(* -1 (/ (sin ky) kx)) |
(neg.f64 (/.f64 (sin.f64 ky) kx)) |
(* -1 (/ (+ (sin ky) (* -1/2 (/ (* (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow kx 2)))) kx)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 kx kx)) (sin.f64 ky)) (neg.f64 kx)) |
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow kx 2))) (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow kx 4))))) kx)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 ky) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 kx kx)) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64)) (pow.f64 kx #s(literal 4 binary64))))) (sin.f64 ky)) (neg.f64 kx)) |
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky))))) (pow kx 2))) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (pow kx 4))) (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (pow kx 6)))))) kx)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 kx kx)) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (/.f64 (*.f64 (sin.f64 ky) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -3/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (pow.f64 kx #s(literal 6 binary64)))) (sin.f64 ky)) (neg.f64 kx)) |
(/ ky kx) |
(/.f64 ky kx) |
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx))) |
(fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* 1/12 (/ 1 (pow kx 3)))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx))) |
(fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) kx) (fma.f64 (*.f64 #s(literal 1/2 binary64) kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))) (/.f64 #s(literal 1/12 binary64) (*.f64 kx (*.f64 kx kx))))) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 kx (*.f64 kx kx))) (neg.f64 (/.f64 #s(literal 1/6 binary64) kx))))) (/.f64 ky kx)) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/12 (/ 1 (pow kx 3))) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* kx (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8))))))) (* -1/12 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* 1/5040 (/ 1 kx)) (* 1/240 (/ 1 (pow kx 3)))))))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx))) |
(fma.f64 ky (*.f64 (*.f64 ky ky) (-.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) kx) (fma.f64 (*.f64 ky ky) (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))) (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 kx #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 4 binary64)))))) (-.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))) (/.f64 #s(literal 1/5040 binary64) kx))) (/.f64 #s(literal 1/240 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))) (/.f64 #s(literal 1/12 binary64) (*.f64 kx (*.f64 kx kx))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx)))) (/.f64 ky kx)) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(* 2 (pow kx 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 kx kx)) |
(* (pow kx 2) (+ 2 (* -2/3 (pow kx 2)))) |
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/3 binary64) #s(literal 2 binary64))) |
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3)))) |
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64))) |
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3)))) |
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/315 binary64) #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))) |
(- 1 (cos (* 2 kx))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) |
(- 1 (cos (* 2 kx))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) |
(- 1 (cos (* 2 kx))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) |
(- 1 (cos (* 2 kx))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) |
(- 1 (cos (neg (* -2 kx)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) |
(- 1 (cos (neg (* -2 kx)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) |
(- 1 (cos (neg (* -2 kx)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) |
(- 1 (cos (neg (* -2 kx)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) |
(sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* 1/2 (* (pow kx 2) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))) |
(fma.f64 (*.f64 kx kx) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/2 (* (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -1/6 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (* 1/2 (* (/ (pow ky 2) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky ky) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))) |
(fma.f64 (*.f64 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx))))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) |
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 ky ky) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) #s(literal -1/6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
Compiled 38 462 to 3 265 computations (91.5% saved)
80 alts after pruning (78 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 062 | 42 | 1 104 |
| Fresh | 7 | 36 | 43 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 1 | 2 |
| Total | 1 074 | 80 | 1 154 |
| Status | Accuracy | Program |
|---|---|---|
| 75.9% | (/.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 binary64) (sin.f64 ky))) | |
| 9.6% | (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sin.f64 kx) #s(literal 2 binary64))) | |
| 18.4% | (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) | |
| 75.9% | (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) | |
| 12.2% | (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) | |
| 14.5% | (/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) | |
| 28.1% | (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) | |
| 76.0% | (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))) (sin.f64 ky))) | |
| 33.1% | (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) | |
| 23.5% | (*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) | |
| 17.8% | (*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) | |
| 13.8% | (*.f64 (fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) (sin.f64 th)) | |
| 29.5% | (*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) | |
| 68.5% | (*.f64 (/.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| 19.7% | (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) | |
| 41.7% | (*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) | |
| ▶ | 99.6% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
| 29.9% | (*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) | |
| 15.3% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) | |
| ✓ | 76.0% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) |
| 32.1% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/3 binary64) (*.f64 ky ky) #s(literal 1 binary64)))))) (sin.f64 ky)) | |
| 35.0% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) | |
| 44.2% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) | |
| 28.0% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) | |
| 35.2% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) | |
| 33.1% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) | |
| ▶ | 29.9% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
| 76.0% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (sin.f64 ky)) | |
| 76.0% | (*.f64 (/.f64 (sin.f64 ky) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 2 binary64)) #s(literal 1/4 binary64))) (sin.f64 th)) | |
| 75.8% | (*.f64 (/.f64 (sin.f64 ky) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 1/4 binary64)) #s(literal 2 binary64))) (sin.f64 th)) | |
| 58.4% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (*.f64 kx (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))))) (sin.f64 th)) | |
| 49.5% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) | |
| ▶ | 50.9% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
| 37.8% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.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)) | |
| 12.3% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)) | |
| 76.0% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 th)) | |
| 26.3% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) | |
| 15.7% | (*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th)) | |
| 23.2% | (*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) | |
| 29.9% | (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) | |
| 22.0% | (*.f64 (/.f64 ky kx) (sin.f64 th)) | |
| 76.0% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))) (sin.f64 ky))) (sin.f64 th)) | |
| 33.1% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) | |
| 33.1% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) | |
| ▶ | 23.2% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
| 29.9% | (*.f64 (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky)) | |
| 25.0% | (*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) | |
| 29.9% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th)) | |
| 75.9% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th)) | |
| 38.8% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) | |
| 33.1% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th)) | |
| 25.1% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) | |
| 33.1% | (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) | |
| 41.9% | (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) | |
| 31.3% | (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) | |
| 75.8% | (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))))) | |
| 20.6% | (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) | |
| 14.4% | (*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) | |
| 8.9% | (*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) | |
| 38.8% | (*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (sin.f64 ky)) | |
| 20.6% | (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) | |
| 38.7% | (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) | |
| 15.3% | (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) | |
| 33.2% | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) | |
| 23.2% | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) | |
| 33.1% | (*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) | |
| 14.5% | (*.f64 th (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) | |
| 17.3% | (*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) | |
| 17.3% | (*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) | |
| 17.3% | (*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) | |
| 17.8% | (*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) | |
| 16.2% | (*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) | |
| 10.7% | (*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) | |
| 22.5% | (*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) | |
| 18.1% | (*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) | |
| 7.7% | (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) | |
| ▶ | 18.2% | (*.f64 th #s(literal 1 binary64)) |
| 22.2% | (*.f64 ky (/.f64 (sin.f64 th) kx)) | |
| 7.7% | (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) | |
| ✓ | 29.6% | (sin.f64 th) |
Compiled 3 059 to 2 155 computations (29.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (hypot.f64 (sin.f64 kx) ky) |
| ✓ | cost-diff | 0 | (sin.f64 ky) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (sin.f64 th) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
| ✓ | cost-diff | 0 | (sin.f64 ky) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) kx) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) |
| ✓ | cost-diff | 320 | (*.f64 th #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
| ✓ | cost-diff | 0 | (sin.f64 th) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
| 182× | lower-*.f32 |
| 168× | lower-*.f64 |
| 76× | associate-*l* |
| 66× | associate-*r* |
| 50× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 151 |
| 0 | 51 | 149 |
| 1 | 72 | 145 |
| 2 | 99 | 145 |
| 3 | 154 | 145 |
| 4 | 185 | 145 |
| 5 | 221 | 145 |
| 0 | 221 | 145 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(sin.f64 th) |
th |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin.f64 ky) |
ky |
(sin.f64 kx) |
kx |
(*.f64 th #s(literal 1 binary64)) |
th |
#s(literal 1 binary64) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) |
(/.f64 #s(literal 1 binary64) kx) |
#s(literal 1 binary64) |
kx |
(sin.f64 ky) |
ky |
(sin.f64 th) |
th |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(sin.f64 th) |
th |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(*.f64 kx #s(literal -2 binary64)) |
kx |
#s(literal -2 binary64) |
#s(literal 1/2 binary64) |
(sin.f64 ky) |
ky |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) |
(sin.f64 ky) |
ky |
(hypot.f64 (sin.f64 kx) ky) |
(sin.f64 kx) |
kx |
(sin.f64 th) |
th |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(sin.f64 th) |
th |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin.f64 ky) |
ky |
(sin.f64 kx) |
kx |
(*.f64 th #s(literal 1 binary64)) |
th |
th |
#s(literal 1 binary64) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) |
(/.f64 (sin.f64 ky) kx) |
(/.f64 #s(literal 1 binary64) kx) |
#s(literal 1 binary64) |
kx |
(sin.f64 ky) |
ky |
(sin.f64 th) |
th |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(sin.f64 th) |
th |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(*.f64 kx #s(literal -2 binary64)) |
kx |
#s(literal -2 binary64) |
#s(literal 1/2 binary64) |
(sin.f64 ky) |
ky |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx))) |
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) |
(/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) |
(sin.f64 ky) |
ky |
(hypot.f64 (sin.f64 kx) ky) |
(hypot.f64 ky (sin.f64 kx)) |
(sin.f64 kx) |
kx |
(sin.f64 th) |
th |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 ky) |
| ✓ | accuracy | 100.0% | (sin.f64 kx) |
| ✓ | accuracy | 99.7% | (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
| ✓ | accuracy | 99.7% | (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
| ✓ | accuracy | 77.1% | (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 74.8% | (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (sin.f64 th) |
| ✓ | accuracy | 100.0% | (sin.f64 ky) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
| ✓ | accuracy | 99.5% | (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) |
| ✓ | accuracy | 100.0% | (*.f64 th #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (sin.f64 kx) |
| ✓ | accuracy | 99.9% | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
| ✓ | accuracy | 99.6% | (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
| 49.0ms | 128× | 0 | valid |
| 42.0ms | 68× | 2 | valid |
| 18.0ms | 42× | 1 | valid |
| 13.0ms | 16× | 3 | valid |
| 3.0ms | 2× | 4 | valid |
Compiled 196 to 29 computations (85.2% saved)
ival-cos: 23.0ms (24.7% of total)ival-sin: 23.0ms (24.7% of total)ival-mult: 15.0ms (16.1% of total)ival-hypot: 11.0ms (11.8% of total)ival-div: 8.0ms (8.6% of total)adjust: 6.0ms (6.5% of total)ival-sqrt: 3.0ms (3.2% of total)ival-add: 2.0ms (2.2% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))> |
#<alt (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))> |
#<alt (sin.f64 th)> |
#<alt (hypot.f64 (sin.f64 ky) (sin.f64 kx))> |
#<alt (*.f64 th #s(literal 1 binary64))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky))> |
#<alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th))> |
#<alt (/.f64 #s(literal 1 binary64) kx)> |
#<alt (sin.f64 ky)> |
#<alt (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))> |
#<alt (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))> |
#<alt (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))> |
#<alt (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky))> |
#<alt (hypot.f64 (sin.f64 kx) ky)> |
#<alt (sin.f64 kx)> |
#<alt (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))> |
| Outputs |
|---|
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (sin th)> |
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))> |
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))> |
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))> |
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))> |
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (/ (sin th) (sin kx))> |
#<alt (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx)))> |
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx)))> |
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx)))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (/ (sin th) (sin ky))> |
#<alt (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky)))> |
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky)))> |
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky)))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt th> |
#<alt (* th (+ 1 (* -1/6 (pow th 2))))> |
#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))> |
#<alt (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin kx)> |
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))> |
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))> |
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sin ky)> |
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))> |
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))> |
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt th> |
#<alt th> |
#<alt th> |
#<alt th> |
#<alt th> |
#<alt th> |
#<alt th> |
#<alt th> |
#<alt th> |
#<alt th> |
#<alt th> |
#<alt th> |
#<alt (/ (sin ky) kx)> |
#<alt (/ (sin ky) kx)> |
#<alt (/ (sin ky) kx)> |
#<alt (/ (sin ky) kx)> |
#<alt (/ (sin ky) kx)> |
#<alt (/ (sin ky) kx)> |
#<alt (/ (sin ky) kx)> |
#<alt (/ (sin ky) kx)> |
#<alt (/ (sin ky) kx)> |
#<alt (/ (sin ky) kx)> |
#<alt (/ (sin ky) kx)> |
#<alt (/ (sin ky) kx)> |
#<alt (/ ky kx)> |
#<alt (* ky (+ (* -1/6 (/ (pow ky 2) kx)) (/ 1 kx)))> |
#<alt (* ky (+ (* (pow ky 2) (- (* 1/120 (/ (pow ky 2) kx)) (* 1/6 (/ 1 kx)))) (/ 1 kx)))> |
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/5040 (/ (pow ky 2) kx)) (* 1/120 (/ 1 kx)))) (* 1/6 (/ 1 kx)))) (/ 1 kx)))> |
#<alt (/ (sin ky) kx)> |
#<alt (/ (sin ky) kx)> |
#<alt (/ (sin ky) kx)> |
#<alt (/ (sin ky) kx)> |
#<alt (/ (sin ky) kx)> |
#<alt (/ (sin ky) kx)> |
#<alt (/ (sin ky) kx)> |
#<alt (/ (sin ky) kx)> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* ky (sin th)) kx)> |
#<alt (* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) kx)) (/ (sin th) kx)))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) kx)) (* 1/120 (/ (* (pow ky 2) (sin th)) kx)))) (/ (sin th) kx)))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) kx)) (* 1/120 (/ (sin th) kx)))))) (/ (sin th) kx)))> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* th (sin ky)) kx)> |
#<alt (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) kx)) (/ (sin ky) kx)))> |
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) kx)) (* 1/120 (/ (* (pow th 2) (sin ky)) kx)))) (/ (sin ky) kx)))> |
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) kx)) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) kx)) (* 1/120 (/ (sin ky) kx)))))) (/ (sin ky) kx)))> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ 1 kx)> |
#<alt (/ 1 kx)> |
#<alt (/ 1 kx)> |
#<alt (/ 1 kx)> |
#<alt (/ 1 kx)> |
#<alt (/ 1 kx)> |
#<alt (/ 1 kx)> |
#<alt (/ 1 kx)> |
#<alt (/ 1 kx)> |
#<alt (/ 1 kx)> |
#<alt (/ 1 kx)> |
#<alt (/ 1 kx)> |
#<alt ky> |
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))> |
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))> |
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)> |
#<alt (/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (+ (* 7/360 (* (pow kx 2) (* (sin ky) (sin th)))) (* 1/6 (* (sin ky) (sin th)))))) kx)> |
#<alt (/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (* (pow kx 2) (+ (* 31/15120 (* (pow kx 2) (* (sin ky) (sin th)))) (* 7/360 (* (sin ky) (sin th)))))))) kx)> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (* ky (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* ky (+ (* -1/6 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))> |
#<alt (* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/120 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))))> |
#<alt (* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* (pow ky 2) (+ (* -1/5040 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* th (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))> |
#<alt (* th (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))))> |
#<alt (* th (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (/ (sin th) kx)> |
#<alt (/ (+ (sin th) (* 1/6 (* (pow kx 2) (sin th)))) kx)> |
#<alt (/ (+ (sin th) (* (pow kx 2) (+ (* 7/360 (* (pow kx 2) (sin th))) (* 1/6 (sin th))))) kx)> |
#<alt (/ (+ (sin th) (* (pow kx 2) (+ (* 1/6 (sin th)) (* (pow kx 2) (+ (* 31/15120 (* (pow kx 2) (sin th))) (* 7/360 (sin th))))))) kx)> |
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))> |
#<alt kx> |
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))> |
#<alt (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))> |
#<alt (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))> |
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))> |
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))> |
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))> |
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))> |
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))> |
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))> |
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))> |
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* -2 kx)))))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 3/8 (/ (sin th) (pow (sin kx) 5))))))))) (/ (sin th) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 3/8 (/ (sin th) (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow (sin kx) 7))) (+ (* -1/16 (/ (sin th) (pow (sin kx) 5))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))> |
#<alt (/ (* (sin ky) (sin th)) ky)> |
#<alt (/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky)> |
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky)> |
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky)> |
#<alt (* -1 (/ (* (sin ky) (sin th)) ky))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky))> |
#<alt (/ (* (sin ky) (sin th)) ky)> |
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 3))) (/ (* (sin ky) (sin th)) ky))> |
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (* (sin ky) (sin th)) ky))> |
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8)))))))))) (* 1/2 (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))))) (/ (* (sin ky) (sin th)) ky))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (/ ky (sin kx))> |
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 3/8 (/ 1 (pow (sin kx) 5))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sin kx))) (+ (* 1/240 (/ 1 (pow (sin kx) 3))) (+ (* 1/16 (/ 1 (pow (sin kx) 5))) (* 5/16 (/ 1 (pow (sin kx) 7)))))))) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (* 3/8 (/ 1 (pow (sin kx) 5))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))> |
#<alt (/ (sin ky) ky)> |
#<alt (/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky)> |
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky)> |
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))))) ky)> |
#<alt (* -1 (/ (sin ky) ky))> |
#<alt (* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky))> |
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky))> |
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))))) ky))> |
#<alt (/ (sin ky) ky)> |
#<alt (+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 3))) (/ (sin ky) ky))> |
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))) (/ (sin ky) ky))> |
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8))))))))) (* 1/2 (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (sin ky) ky))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))> |
#<alt ky> |
#<alt (+ ky (* 1/2 (/ (pow kx 2) ky)))> |
#<alt (+ ky (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow ky 2))))) ky)) (* 1/2 (/ 1 ky)))))> |
#<alt (+ ky (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) ky)) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) (pow ky 2))))) ky)))) (* 1/2 (/ 1 ky)))))> |
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))> |
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))> |
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))> |
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))> |
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))> |
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))> |
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))> |
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))> |
#<alt (sin kx)> |
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))> |
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/2 (/ 1 (sin kx))))))> |
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow (sin kx) 5))) (* 1/8 (/ 1 (pow (sin kx) 3))))) (* 1/2 (/ 1 (sin kx))))))> |
#<alt ky> |
#<alt (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))> |
#<alt (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))> |
#<alt (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))> |
#<alt (* -1 ky)> |
#<alt (* -1 (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))> |
#<alt (* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))> |
#<alt (* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))))> |
#<alt kx> |
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))> |
#<alt (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))> |
#<alt (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))> |
#<alt (sin kx)> |
#<alt (sin kx)> |
#<alt (sin kx)> |
#<alt (sin kx)> |
#<alt (sin kx)> |
#<alt (sin kx)> |
#<alt (sin kx)> |
#<alt (sin kx)> |
#<alt (pow kx 2)> |
#<alt (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))> |
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))> |
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))> |
#<alt (+ 1/2 (* -1/2 (cos (* -2 kx))))> |
#<alt (+ 1/2 (* -1/2 (cos (* -2 kx))))> |
#<alt (+ 1/2 (* -1/2 (cos (* -2 kx))))> |
#<alt (+ 1/2 (* -1/2 (cos (* -2 kx))))> |
#<alt (+ 1/2 (* -1/2 (cos (* -2 kx))))> |
#<alt (+ 1/2 (* -1/2 (cos (* -2 kx))))> |
#<alt (+ 1/2 (* -1/2 (cos (* -2 kx))))> |
#<alt (+ 1/2 (* -1/2 (cos (* -2 kx))))> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | kx | @ | 0 | (* (* (/ 1 kx) (sin ky)) (sin th)) |
| 5.0ms | ky | @ | 0 | (* (/ (sin th) (sqrt (+ (* -1/2 (cos (* kx -2))) 1/2))) (sin ky)) |
| 1.0ms | th | @ | inf | (* (/ (sin th) (sqrt (+ (* -1/2 (cos (* kx -2))) 1/2))) (sin ky)) |
| 1.0ms | kx | @ | inf | (* (/ (sin th) (sqrt (+ (* -1/2 (cos (* kx -2))) 1/2))) (sin ky)) |
| 1.0ms | kx | @ | -inf | (* (/ (sin th) (sqrt (+ (* -1/2 (cos (* kx -2))) 1/2))) (sin ky)) |
| 1× | batch-egg-rewrite |
| 3 330× | lower-fma.f32 |
| 3 328× | lower-fma.f64 |
| 3 208× | lower-*.f32 |
| 3 194× | lower-*.f64 |
| 3 052× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 112 |
| 0 | 51 | 110 |
| 1 | 164 | 106 |
| 2 | 997 | 106 |
| 0 | 9018 | 106 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(sin.f64 th) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) kx) |
(sin.f64 ky) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) |
(hypot.f64 (sin.f64 kx) ky) |
(sin.f64 kx) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(neg.f64 (*.f64 (/.f64 (sin.f64 th) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) (sin.f64 ky))) |
(neg.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))) (*.f64 (sin.f64 th) (sin.f64 ky))))) |
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))) (neg.f64 (sin.f64 th)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))) (sin.f64 ky))) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))) (sin.f64 ky)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(*.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 th) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 ky) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) #s(literal -1 binary64)) (/.f64 (sin.f64 th) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 th)) #s(literal -1 binary64)) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 th) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) (/.f64 (sin.f64 th) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))))) |
(neg.f64 (/.f64 (sin.f64 th) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)))) |
(/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))) |
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))) (neg.f64 (sin.f64 th)))) |
(/.f64 (neg.f64 (sin.f64 th)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 th) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))))) |
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 th))) |
(sin.f64 th) |
(neg.f64 (neg.f64 (sin.f64 th))) |
(*.f64 (sin.f64 th) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 th)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 th))) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))) #s(literal 1/2 binary64))) |
(hypot.f64 (sin.f64 ky) (sin.f64 ky)) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 (sin.f64 kx)))) |
(hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 (sin.f64 ky)))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(hypot.f64 (sin.f64 kx) (sin.f64 kx)) |
(hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 kx)))) |
(hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 ky)))) |
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (sin.f64 ky)) |
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (sin.f64 kx)) |
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 kx)))) |
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky)))) |
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 ky)) |
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx)) |
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx)))) |
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 ky)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))) |
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (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) (+.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky 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) (+.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))) #s(literal -1 binary64)) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (sqrt.f64 (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) (+.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) |
(/.f64 (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) (+.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))) |
(/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 2 binary64)) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (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) (+.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (neg.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) (+.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (neg.f64 (sqrt.f64 (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) (+.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (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) (+.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (/.f64 #s(literal 1 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) (+.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 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) (+.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (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) (+.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) |
(*.f64 (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) (+.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))) #s(literal 1/2 binary64))) |
(*.f64 (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) (+.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(*.f64 (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) (+.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/4 binary64))) |
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) th) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 kx)) (/.f64 (sin.f64 ky) (neg.f64 kx))) |
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 kx))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) kx) (sin.f64 ky))) |
(neg.f64 (*.f64 (sin.f64 ky) (/.f64 #s(literal -1 binary64) kx))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) kx)) |
(/.f64 (sin.f64 ky) kx) |
(/.f64 #s(literal 1 binary64) (/.f64 kx (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 kx (sin.f64 ky)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 kx (sin.f64 ky)))) |
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 kx)) |
(pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) kx)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (/.f64 (sin.f64 ky) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sin.f64 ky) kx) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) kx)) |
(*.f64 (/.f64 (sin.f64 ky) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) kx)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(neg.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal -1 binary64) kx))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) kx)) |
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 kx) (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) |
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 kx)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 1 binary64)) (+.f64 ky ky)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 kx))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (+.f64 ky ky)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 kx))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))) (+.f64 ky ky)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) (+.f64 ky ky)) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))) (*.f64 (neg.f64 kx) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) (*.f64 (neg.f64 kx) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) kx) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx)) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (/.f64 (sin.f64 th) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) kx)) |
(*.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) kx)) |
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) kx) (/.f64 (sin.f64 ky) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 kx) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) kx)) |
(neg.f64 (/.f64 #s(literal -1 binary64) kx)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) kx) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) kx) |
(/.f64 #s(literal -1 binary64) (neg.f64 kx)) |
(pow.f64 kx #s(literal -1 binary64)) |
(pow.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 kx #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 kx)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) kx)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) kx)) |
(*.f64 (pow.f64 kx #s(literal -1/2 binary64)) (pow.f64 kx #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 ky))) |
(sin.f64 ky) |
(neg.f64 (neg.f64 (sin.f64 ky))) |
(pow.f64 (sin.f64 ky) #s(literal 1 binary64)) |
(*.f64 (sin.f64 ky) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 ky)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 ky))) |
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 th)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
(neg.f64 (*.f64 (sin.f64 ky) (/.f64 (neg.f64 (sin.f64 th)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
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(/.f64 (neg.f64 (sin.f64 th)) (/.f64 (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) (neg.f64 (sin.f64 ky)))) |
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(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) |
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(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -1 binary64)) |
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(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (fma.f64 ky ky #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 (/.f64 (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) (sin.f64 ky))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) (sin.f64 ky)))) |
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) (sin.f64 ky))) |
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) (neg.f64 (sin.f64 ky)))) |
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(pow.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) (sin.f64 ky)) #s(literal -1 binary64)) |
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(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 ky) (pow.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) (sin.f64 ky)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) (sin.f64 ky)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/2 binary64))) |
(hypot.f64 ky (sin.f64 ky)) |
(hypot.f64 ky (sin.f64 kx)) |
(hypot.f64 ky (exp.f64 (log.f64 (sin.f64 kx)))) |
(hypot.f64 ky (exp.f64 (log.f64 (sin.f64 ky)))) |
(hypot.f64 (sin.f64 ky) ky) |
(hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 ky))) |
(hypot.f64 (sin.f64 kx) ky) |
(hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 ky))) |
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) ky) |
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 ky))) |
(hypot.f64 (exp.f64 (log.f64 ky)) (sin.f64 ky)) |
(hypot.f64 (exp.f64 (log.f64 ky)) (sin.f64 kx)) |
(hypot.f64 (exp.f64 (log.f64 ky)) (exp.f64 (log.f64 (sin.f64 kx)))) |
(hypot.f64 (exp.f64 (log.f64 ky)) (exp.f64 (log.f64 (sin.f64 ky)))) |
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) ky) |
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 ky))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) |
(sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) |
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)) (*.f64 ky ky)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 ky (*.f64 ky (*.f64 ky ky))))))) |
(/.f64 (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal -1 binary64)) |
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(/.f64 (sqrt.f64 (fma.f64 (*.f64 ky ky) (*.f64 ky (*.f64 ky (*.f64 ky ky))) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 ky (*.f64 ky (*.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) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)) (*.f64 ky ky))))))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 kx #s(literal -2 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 kx #s(literal -2 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 kx #s(literal -2 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #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 #s(literal 2 binary64) (*.f64 kx #s(literal -2 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 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 #s(literal 2 binary64) (*.f64 kx #s(literal -2 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 kx #s(literal -2 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #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 #s(literal 2 binary64) (*.f64 kx #s(literal -2 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 kx #s(literal -2 binary64)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/4 binary64)))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))) (-.f64 (*.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 kx #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 kx #s(literal -2 binary64)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/4 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 kx #s(literal -2 binary64)))))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 kx #s(literal -2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
| 1× | egg-herbie |
| 7 916× | lower-fma.f64 |
| 7 916× | lower-fma.f32 |
| 6 906× | lower-*.f64 |
| 6 906× | lower-*.f32 |
| 5 428× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 774 | 6786 |
| 1 | 2541 | 6531 |
| 2 | 6156 | 6431 |
| 0 | 8168 | 5988 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(/ (* ky (sin th)) (sin kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(sin th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(/ (sin th) (sin kx)) |
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx))) |
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx))) |
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(/ (sin th) (sin ky)) |
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
th |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) |
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sin ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky)))))) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
th |
th |
th |
th |
th |
th |
th |
th |
th |
th |
th |
th |
(/ (sin ky) kx) |
(/ (sin ky) kx) |
(/ (sin ky) kx) |
(/ (sin ky) kx) |
(/ (sin ky) kx) |
(/ (sin ky) kx) |
(/ (sin ky) kx) |
(/ (sin ky) kx) |
(/ (sin ky) kx) |
(/ (sin ky) kx) |
(/ (sin ky) kx) |
(/ (sin ky) kx) |
(/ ky kx) |
(* ky (+ (* -1/6 (/ (pow ky 2) kx)) (/ 1 kx))) |
(* ky (+ (* (pow ky 2) (- (* 1/120 (/ (pow ky 2) kx)) (* 1/6 (/ 1 kx)))) (/ 1 kx))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/5040 (/ (pow ky 2) kx)) (* 1/120 (/ 1 kx)))) (* 1/6 (/ 1 kx)))) (/ 1 kx))) |
(/ (sin ky) kx) |
(/ (sin ky) kx) |
(/ (sin ky) kx) |
(/ (sin ky) kx) |
(/ (sin ky) kx) |
(/ (sin ky) kx) |
(/ (sin ky) kx) |
(/ (sin ky) kx) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* ky (sin th)) kx) |
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) kx)) (/ (sin th) kx))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) kx)) (* 1/120 (/ (* (pow ky 2) (sin th)) kx)))) (/ (sin th) kx))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) kx)) (* 1/120 (/ (sin th) kx)))))) (/ (sin th) kx))) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* th (sin ky)) kx) |
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) kx)) (/ (sin ky) kx))) |
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) kx)) (* 1/120 (/ (* (pow th 2) (sin ky)) kx)))) (/ (sin ky) kx))) |
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) kx)) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) kx)) (* 1/120 (/ (sin ky) kx)))))) (/ (sin ky) kx))) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* (sin ky) (sin th)) kx) |
(/ (* (sin ky) (sin th)) kx) |
(/ 1 kx) |
(/ 1 kx) |
(/ 1 kx) |
(/ 1 kx) |
(/ 1 kx) |
(/ 1 kx) |
(/ 1 kx) |
(/ 1 kx) |
(/ 1 kx) |
(/ 1 kx) |
(/ 1 kx) |
(/ 1 kx) |
ky |
(* ky (+ 1 (* -1/6 (pow ky 2)))) |
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) |
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(/ (* (sin ky) (sin th)) kx) |
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx) |
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (+ (* 7/360 (* (pow kx 2) (* (sin ky) (sin th)))) (* 1/6 (* (sin ky) (sin th)))))) kx) |
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (* (pow kx 2) (+ (* 31/15120 (* (pow kx 2) (* (sin ky) (sin th)))) (* 7/360 (* (sin ky) (sin th)))))))) kx) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (* ky (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* ky (+ (* -1/6 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))) |
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/120 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))))) |
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* (pow ky 2) (+ (* -1/5040 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* th (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))) |
(* th (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))))) |
(* th (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(/ (sin th) kx) |
(/ (+ (sin th) (* 1/6 (* (pow kx 2) (sin th)))) kx) |
(/ (+ (sin th) (* (pow kx 2) (+ (* 7/360 (* (pow kx 2) (sin th))) (* 1/6 (sin th))))) kx) |
(/ (+ (sin th) (* (pow kx 2) (+ (* 1/6 (sin th)) (* (pow kx 2) (+ (* 31/15120 (* (pow kx 2) (sin th))) (* 7/360 (sin th))))))) kx) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
kx |
(* kx (+ 1 (* -1/6 (pow kx 2)))) |
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6)))) |
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))) |
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx))))) |
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx))))) |
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx))))) |
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx))))) |
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx))))) |
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx))))) |
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx))))) |
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx))))) |
(/ (* ky (sin th)) (sin kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 3/8 (/ (sin th) (pow (sin kx) 5))))))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 3/8 (/ (sin th) (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow (sin kx) 7))) (+ (* -1/16 (/ (sin th) (pow (sin kx) 5))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(/ (* (sin ky) (sin th)) ky) |
(/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky) |
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky) |
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky) |
(* -1 (/ (* (sin ky) (sin th)) ky)) |
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky)) |
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky)) |
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky)) |
(/ (* (sin ky) (sin th)) ky) |
(+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 3))) (/ (* (sin ky) (sin th)) ky)) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (* (sin ky) (sin th)) ky)) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8)))))))))) (* 1/2 (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))))) (/ (* (sin ky) (sin th)) ky)) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(/ ky (sin kx)) |
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 3/8 (/ 1 (pow (sin kx) 5))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sin kx))) (+ (* 1/240 (/ 1 (pow (sin kx) 3))) (+ (* 1/16 (/ 1 (pow (sin kx) 5))) (* 5/16 (/ 1 (pow (sin kx) 7)))))))) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (* 3/8 (/ 1 (pow (sin kx) 5))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(/ (sin ky) ky) |
(/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky) |
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky) |
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))))) ky) |
(* -1 (/ (sin ky) ky)) |
(* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky)) |
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky)) |
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))))) ky)) |
(/ (sin ky) ky) |
(+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 3))) (/ (sin ky) ky)) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))) (/ (sin ky) ky)) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8))))))))) (* 1/2 (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (sin ky) ky)) |
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
ky |
(+ ky (* 1/2 (/ (pow kx 2) ky))) |
(+ ky (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow ky 2))))) ky)) (* 1/2 (/ 1 ky))))) |
(+ ky (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) ky)) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) (pow ky 2))))) ky)))) (* 1/2 (/ 1 ky))))) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(sin kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/2 (/ 1 (sin kx)))))) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow (sin kx) 5))) (* 1/8 (/ 1 (pow (sin kx) 3))))) (* 1/2 (/ 1 (sin kx)))))) |
ky |
(* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))) |
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))) |
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))) |
(* -1 ky) |
(* -1 (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))) |
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))) |
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))) |
kx |
(* kx (+ 1 (* -1/6 (pow kx 2)))) |
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6)))) |
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))) |
(sin kx) |
(sin kx) |
(sin kx) |
(sin kx) |
(sin kx) |
(sin kx) |
(sin kx) |
(sin kx) |
(pow kx 2) |
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))) |
(+ 1/2 (* -1/2 (cos (* -2 kx)))) |
(+ 1/2 (* -1/2 (cos (* -2 kx)))) |
(+ 1/2 (* -1/2 (cos (* -2 kx)))) |
(+ 1/2 (* -1/2 (cos (* -2 kx)))) |
(+ 1/2 (* -1/2 (cos (* -2 kx)))) |
(+ 1/2 (* -1/2 (cos (* -2 kx)))) |
(+ 1/2 (* -1/2 (cos (* -2 kx)))) |
(+ 1/2 (* -1/2 (cos (* -2 kx)))) |
| Outputs |
|---|
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (sin.f64 ky)))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (sin.f64 kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal -1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/5040 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) #s(literal -1/12 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (sin.f64 kx)))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(sin th) |
(sin.f64 th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 th)) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
(*.f64 th (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -1/6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(/ (sin th) (sin kx)) |
(/.f64 (sin.f64 th) (sin.f64 kx)) |
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx))) |
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx))) |
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(/ (sin th) (sin ky)) |
(/.f64 (sin.f64 th) (sin.f64 ky)) |
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx kx) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
th |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) |
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin kx) |
(sin.f64 kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (sin.f64 kx)) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (/.f64 (*.f64 ky ky) (sin.f64 kx))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx)) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 kx))) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 kx))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin ky) |
(sin.f64 ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(fma.f64 (*.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (sin.f64 ky)) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky)))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx kx) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 ky))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky)) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 ky))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
th |
th |
th |
th |
th |
th |
th |
th |
th |
th |
th |
th |
(/ (sin ky) kx) |
(/.f64 (sin.f64 ky) kx) |
(/ (sin ky) kx) |
(/.f64 (sin.f64 ky) kx) |
(/ (sin ky) kx) |
(/.f64 (sin.f64 ky) kx) |
(/ (sin ky) kx) |
(/.f64 (sin.f64 ky) kx) |
(/ (sin ky) kx) |
(/.f64 (sin.f64 ky) kx) |
(/ (sin ky) kx) |
(/.f64 (sin.f64 ky) kx) |
(/ (sin ky) kx) |
(/.f64 (sin.f64 ky) kx) |
(/ (sin ky) kx) |
(/.f64 (sin.f64 ky) kx) |
(/ (sin ky) kx) |
(/.f64 (sin.f64 ky) kx) |
(/ (sin ky) kx) |
(/.f64 (sin.f64 ky) kx) |
(/ (sin ky) kx) |
(/.f64 (sin.f64 ky) kx) |
(/ (sin ky) kx) |
(/.f64 (sin.f64 ky) kx) |
(/ ky kx) |
(/.f64 ky kx) |
(* ky (+ (* -1/6 (/ (pow ky 2) kx)) (/ 1 kx))) |
(fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) |
(* ky (+ (* (pow ky 2) (- (* 1/120 (/ (pow ky 2) kx)) (* 1/6 (/ 1 kx)))) (/ 1 kx))) |
(fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 ky ky) kx) (/.f64 #s(literal -1/6 binary64) kx))) (/.f64 ky kx)) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/5040 (/ (pow ky 2) kx)) (* 1/120 (/ 1 kx)))) (* 1/6 (/ 1 kx)))) (/ 1 kx))) |
(fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 ky ky) kx) (/.f64 #s(literal 1/120 binary64) kx)) (/.f64 #s(literal -1/6 binary64) kx))) (/.f64 ky kx)) |
(/ (sin ky) kx) |
(/.f64 (sin.f64 ky) kx) |
(/ (sin ky) kx) |
(/.f64 (sin.f64 ky) kx) |
(/ (sin ky) kx) |
(/.f64 (sin.f64 ky) kx) |
(/ (sin ky) kx) |
(/.f64 (sin.f64 ky) kx) |
(/ (sin ky) kx) |
(/.f64 (sin.f64 ky) kx) |
(/ (sin ky) kx) |
(/.f64 (sin.f64 ky) kx) |
(/ (sin ky) kx) |
(/.f64 (sin.f64 ky) kx) |
(/ (sin ky) kx) |
(/.f64 (sin.f64 ky) kx) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* ky (sin th)) kx) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) kx)) (/ (sin th) kx))) |
(*.f64 ky (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 th) (/.f64 (*.f64 ky ky) kx)) (/.f64 (sin.f64 th) kx))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) kx)) (* 1/120 (/ (* (pow ky 2) (sin th)) kx)))) (/ (sin th) kx))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 th) (/.f64 (*.f64 ky ky) kx)) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/6 binary64)) kx)) (/.f64 (sin.f64 th) kx))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) kx)) (* 1/120 (/ (sin th) kx)))))) (/ (sin th) kx))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 th) (/.f64 (*.f64 ky ky) kx)) (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) kx)) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/6 binary64)) kx)) (/.f64 (sin.f64 th) kx))) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* th (sin ky)) kx) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) kx)) (/ (sin ky) kx))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (/.f64 (*.f64 th th) kx)) (/.f64 (sin.f64 ky) kx))) |
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) kx)) (* 1/120 (/ (* (pow th 2) (sin ky)) kx)))) (/ (sin ky) kx))) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (/.f64 (*.f64 th th) kx)) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) kx)) (/.f64 (sin.f64 ky) kx))) |
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) kx)) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) kx)) (* 1/120 (/ (sin ky) kx)))))) (/ (sin ky) kx))) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (/.f64 (*.f64 th th) kx)) (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)) kx)) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) kx)) (/.f64 (sin.f64 ky) kx))) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ 1 kx) |
(/.f64 #s(literal 1 binary64) kx) |
(/ 1 kx) |
(/.f64 #s(literal 1 binary64) kx) |
(/ 1 kx) |
(/.f64 #s(literal 1 binary64) kx) |
(/ 1 kx) |
(/.f64 #s(literal 1 binary64) kx) |
(/ 1 kx) |
(/.f64 #s(literal 1 binary64) kx) |
(/ 1 kx) |
(/.f64 #s(literal 1 binary64) kx) |
(/ 1 kx) |
(/.f64 #s(literal 1 binary64) kx) |
(/ 1 kx) |
(/.f64 #s(literal 1 binary64) kx) |
(/ 1 kx) |
(/.f64 #s(literal 1 binary64) kx) |
(/ 1 kx) |
(/.f64 #s(literal 1 binary64) kx) |
(/ 1 kx) |
(/.f64 #s(literal 1 binary64) kx) |
(/ 1 kx) |
(/.f64 #s(literal 1 binary64) kx) |
ky |
(* ky (+ 1 (* -1/6 (pow ky 2)))) |
(fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) |
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) |
(fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) ky) |
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (sin.f64 ky)))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))))) |
(*.f64 th (fma.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/120 binary64) (sin.f64 ky) (*.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (+ (* 7/360 (* (pow kx 2) (* (sin ky) (sin th)))) (* 1/6 (* (sin ky) (sin th)))))) kx) |
(/.f64 (fma.f64 (*.f64 kx kx) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fma.f64 #s(literal 7/360 binary64) (*.f64 kx kx) #s(literal 1/6 binary64))) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (* (pow kx 2) (+ (* 31/15120 (* (pow kx 2) (* (sin ky) (sin th)))) (* 7/360 (* (sin ky) (sin th)))))))) kx) |
(/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 1/6 binary64) (*.f64 (*.f64 kx kx) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fma.f64 #s(literal 31/15120 binary64) (*.f64 kx kx) #s(literal 7/360 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (* ky (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* ky (+ (* -1/6 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))) |
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 th) (*.f64 ky ky)) (sin.f64 th)))) |
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/120 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (sin.f64 th) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 th) (*.f64 ky ky))))) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) |
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* (pow ky 2) (+ (* -1/5040 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))))))) |
(*.f64 ky (fma.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (*.f64 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/120 binary64) (sin.f64 th) (*.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 th) (*.f64 ky ky)))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* th (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* th (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))) |
(*.f64 th (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* th (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* th (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx)))))))) (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(/ (sin th) kx) |
(/.f64 (sin.f64 th) kx) |
(/ (+ (sin th) (* 1/6 (* (pow kx 2) (sin th)))) kx) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) kx) |
(/ (+ (sin th) (* (pow kx 2) (+ (* 7/360 (* (pow kx 2) (sin th))) (* 1/6 (sin th))))) kx) |
(/.f64 (fma.f64 (*.f64 kx kx) (*.f64 (sin.f64 th) (fma.f64 #s(literal 7/360 binary64) (*.f64 kx kx) #s(literal 1/6 binary64))) (sin.f64 th)) kx) |
(/ (+ (sin th) (* (pow kx 2) (+ (* 1/6 (sin th)) (* (pow kx 2) (+ (* 31/15120 (* (pow kx 2) (sin th))) (* 7/360 (sin th))))))) kx) |
(/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (*.f64 (sin.f64 th) (fma.f64 #s(literal 31/15120 binary64) (*.f64 kx kx) #s(literal 7/360 binary64))) (*.f64 (sin.f64 th) #s(literal 1/6 binary64))) (sin.f64 th)) kx) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 kx))))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
kx |
(* kx (+ 1 (* -1/6 (pow kx 2)))) |
(fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx) |
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6)))) |
(*.f64 kx (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))) |
(fma.f64 kx (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) kx) |
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx))))) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx))))) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx))))) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx))))) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx))))) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx))))) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx))))) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(sqrt (+ 1/2 (* -1/2 (cos (* -2 kx))))) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 3/8 (/ (sin th) (pow (sin kx) 5))))))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (sin.f64 kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 3/8 (/ (sin th) (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow (sin kx) 7))) (+ (* -1/16 (/ (sin th) (pow (sin kx) 5))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (fma.f64 (*.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal -1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/5040 binary64)) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -5/16 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 7 binary64))))) (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))))) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (sin.f64 kx)))) |
(/ (* (sin ky) (sin th)) ky) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) |
(/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (sin.f64 th)) (*.f64 ky ky)) (*.f64 (sin.f64 ky) (sin.f64 th))) ky) |
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (sin.f64 th))) ky) |
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (pow.f64 ky #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (sin.f64 th)) (*.f64 ky ky))) (*.f64 (sin.f64 ky) (sin.f64 th))) ky) |
(* -1 (/ (* (sin ky) (sin th)) ky)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (neg.f64 ky)) |
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (sin.f64 th)) (*.f64 ky ky)) (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 ky)) |
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 ky)) |
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (pow.f64 ky #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (sin.f64 th)) (*.f64 ky ky))) (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 ky)) |
(/ (* (sin ky) (sin th)) ky) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) |
(+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 3))) (/ (* (sin ky) (sin th)) ky)) |
(fma.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 kx kx)) (*.f64 ky (*.f64 ky ky))))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (* (sin ky) (sin th)) ky)) |
(fma.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky (sin.f64 ky)) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 ky (*.f64 ky ky))))))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8)))))))))) (* 1/2 (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))))) (/ (* (sin ky) (sin th)) ky)) |
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 kx kx) ky) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 ky #s(literal 6 binary64)))) (*.f64 ky ky)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 ky #s(literal 6 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 ky (sin.f64 ky)) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64)))))))))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (sin.f64 ky)))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))))))) |
(*.f64 th (fma.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(fma.f64 ky (*.f64 (*.f64 ky ky) (-.f64 (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (/.f64 ky (sin.f64 kx))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 3/8 (/ 1 (pow (sin kx) 5))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (/.f64 #s(literal 3/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))))) (-.f64 (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (/.f64 ky (sin.f64 kx))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sin kx))) (+ (* 1/240 (/ 1 (pow (sin kx) 3))) (+ (* 1/16 (/ 1 (pow (sin kx) 5))) (* 5/16 (/ 1 (pow (sin kx) 7)))))))) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (* 3/8 (/ 1 (pow (sin kx) 5))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))) (/.f64 #s(literal 5/16 binary64) (pow.f64 (sin.f64 kx) #s(literal 7 binary64)))))) (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (/.f64 #s(literal 3/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (/.f64 ky (sin.f64 kx))) |
(/ (sin ky) ky) |
(/.f64 (sin.f64 ky) ky) |
(/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 ky) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))) (sin.f64 ky)) ky) |
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 ky) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 ky)) ky) |
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))))) ky) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 (sin.f64 ky) (pow.f64 ky #s(literal 6 binary64))) (*.f64 (sin.f64 ky) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))))) (sin.f64 ky)) ky) |
(* -1 (/ (sin ky) ky)) |
(neg.f64 (/.f64 (sin.f64 ky) ky)) |
(* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 ky) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))) (sin.f64 ky)) (neg.f64 ky)) |
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 ky) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 ky)) (neg.f64 ky)) |
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))))) ky)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 (sin.f64 ky) (pow.f64 ky #s(literal 6 binary64))) (*.f64 (sin.f64 ky) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))))) (sin.f64 ky)) (neg.f64 ky)) |
(/ (sin ky) ky) |
(/.f64 (sin.f64 ky) ky) |
(+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 3))) (/ (sin ky) ky)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 kx kx)) (*.f64 ky (*.f64 ky ky))) (/.f64 (sin.f64 ky) ky)) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))) (/ (sin ky) ky)) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 ky)) (*.f64 ky (*.f64 ky ky)))) (/.f64 (sin.f64 ky) ky)) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8))))))))) (* 1/2 (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (sin ky) ky)) |
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 ky (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky (sin.f64 ky)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 ky #s(literal 6 binary64)))) (*.f64 ky ky)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 ky #s(literal 6 binary64))))))))))) (/.f64 (sin.f64 ky) ky)) |
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
ky |
(+ ky (* 1/2 (/ (pow kx 2) ky))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) ky) ky) |
(+ ky (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow ky 2))))) ky)) (* 1/2 (/ 1 ky))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx kx) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 ky ky))) ky)) (/.f64 #s(literal 1/2 binary64) ky)) ky) |
(+ ky (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) ky)) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) (pow ky 2))))) ky)))) (* 1/2 (/ 1 ky))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 ky ky))) (*.f64 ky ky))) (/.f64 (*.f64 kx kx) ky)) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 ky ky))) ky)) (/.f64 #s(literal 1/2 binary64) ky)) ky) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(hypot.f64 ky (sin.f64 kx)) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(hypot.f64 ky (sin.f64 kx)) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(hypot.f64 ky (sin.f64 kx)) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(hypot.f64 ky (sin.f64 kx)) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(hypot.f64 ky (sin.f64 kx)) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(hypot.f64 ky (sin.f64 kx)) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(hypot.f64 ky (sin.f64 kx)) |
(sqrt (+ (pow ky 2) (pow (sin kx) 2))) |
(hypot.f64 ky (sin.f64 kx)) |
(sin kx) |
(sin.f64 kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (sin.f64 kx)) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/2 (/ 1 (sin kx)))))) |
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx)) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow (sin kx) 5))) (* 1/8 (/ 1 (pow (sin kx) 3))))) (* 1/2 (/ 1 (sin kx)))))) |
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx)) |
ky |
(* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))) |
(fma.f64 ky (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))) ky) |
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))) |
(fma.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64)))) ky) |
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))) |
(fma.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 ky #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64))))) ky) |
(* -1 ky) |
(neg.f64 ky) |
(* -1 (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)) #s(literal 1 binary64)) (neg.f64 ky)) |
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 ky)) |
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))) |
(neg.f64 (fma.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 ky #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64))))) ky)) |
kx |
(* kx (+ 1 (* -1/6 (pow kx 2)))) |
(fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx) |
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6)))) |
(*.f64 kx (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))) |
(fma.f64 kx (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(pow kx 2) |
(*.f64 kx kx) |
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) |
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) |
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))) |
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(+ 1/2 (* -1/2 (cos (* -2 kx)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* -2 kx)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* -2 kx)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* -2 kx)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* -2 kx)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* -2 kx)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* -2 kx)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* -2 kx)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
Compiled 18 253 to 2 098 computations (88.5% saved)
102 alts after pruning (98 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 879 | 35 | 914 |
| Fresh | 10 | 63 | 73 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 892 | 102 | 994 |
| Status | Accuracy | Program |
|---|---|---|
| 75.9% | (/.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 binary64) (sin.f64 ky))) | |
| 9.6% | (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sin.f64 kx) #s(literal 2 binary64))) | |
| 18.4% | (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) | |
| 9.5% | (/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 kx))) | |
| 29.9% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) | |
| 12.2% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))) | |
| 21.4% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) | |
| 75.9% | (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) | |
| 14.5% | (/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) | |
| 28.1% | (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) | |
| 20.3% | (/.f64 (*.f64 ky (sin.f64 th)) kx) | |
| 33.1% | (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) | |
| 23.2% | (/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) | |
| 30.0% | (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) | |
| 23.5% | (*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) | |
| 17.8% | (*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) | |
| 21.1% | (*.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) (sin.f64 th)) | |
| 49.5% | (*.f64 (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) | |
| 15.6% | (*.f64 (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) | |
| 29.5% | (*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) | |
| 48.8% | (*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) | |
| 19.7% | (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) kx) (sin.f64 ky)) | |
| 19.7% | (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) | |
| 48.6% | (*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) | |
| ✓ | 99.6% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
| 15.3% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) | |
| ✓ | 76.0% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) |
| 32.1% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/3 binary64) (*.f64 ky ky) #s(literal 1 binary64)))))) (sin.f64 ky)) | |
| 35.0% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) | |
| 44.2% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) | |
| 28.0% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) | |
| 35.2% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) | |
| 33.1% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) | |
| 24.7% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) | |
| ✓ | 29.9% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
| 76.0% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (sin.f64 ky)) | |
| 33.2% | (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky)) | |
| 76.0% | (*.f64 (/.f64 (sin.f64 ky) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 2 binary64)) #s(literal 1/4 binary64))) (sin.f64 th)) | |
| 75.8% | (*.f64 (/.f64 (sin.f64 ky) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 1/4 binary64)) #s(literal 2 binary64))) (sin.f64 th)) | |
| 58.4% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (*.f64 kx (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))))) (sin.f64 th)) | |
| 49.5% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) | |
| 25.1% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 37.8% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.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)) | |
| 76.0% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 th)) | |
| 26.3% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) | |
| 29.9% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) | |
| 15.7% | (*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th)) | |
| 23.2% | (*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) | |
| 29.9% | (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) | |
| 22.0% | (*.f64 (/.f64 ky kx) (sin.f64 th)) | |
| 76.0% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))) (sin.f64 ky))) (sin.f64 th)) | |
| 29.9% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) (sin.f64 ky)) | |
| 33.1% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) | |
| 21.4% | (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) | |
| 30.0% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (sin.f64 ky)) | |
| 33.1% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) | |
| 21.3% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) | |
| 21.7% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)))) (sin.f64 th)) | |
| 21.0% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sin.f64 th)) | |
| 12.1% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)) | |
| 12.3% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) | |
| 12.1% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 29.9% | (*.f64 (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky)) | |
| 25.0% | (*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) | |
| 29.9% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th)) | |
| 75.9% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th)) | |
| 38.8% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) | |
| 33.1% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th)) | |
| 25.1% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) | |
| 33.1% | (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) | |
| 29.9% | (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) | |
| 41.9% | (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) | |
| 75.8% | (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))))) | |
| 20.6% | (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) | |
| 14.4% | (*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) | |
| 8.9% | (*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) | |
| 15.6% | (*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) | |
| 38.8% | (*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (sin.f64 ky)) | |
| 20.6% | (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) | |
| 38.7% | (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) | |
| 25.0% | (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) | |
| 29.9% | (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) | |
| 12.3% | (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) | |
| 15.3% | (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) | |
| 29.9% | (*.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))) | |
| 33.1% | (*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) | |
| 23.2% | (*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) | |
| 14.5% | (*.f64 th (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) | |
| 17.3% | (*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) | |
| 12.8% | (*.f64 th (/.f64 (sin.f64 ky) kx)) | |
| 17.3% | (*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) | |
| 17.3% | (*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) | |
| 17.8% | (*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) | |
| 16.2% | (*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) | |
| 10.7% | (*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) | |
| 22.5% | (*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) | |
| 18.1% | (*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) | |
| 7.7% | (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) | |
| 22.2% | (*.f64 ky (/.f64 (sin.f64 th) kx)) | |
| 7.7% | (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) | |
| ✓ | 29.6% | (sin.f64 th) |
| 18.2% | th |
Compiled 4 192 to 1 845 computations (56% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) |
(*.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) kx) (sin.f64 ky)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 kx))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
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(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 1/4 binary64)) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 2 binary64)) #s(literal 1/4 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (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) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.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 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (fma.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)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
9 calls:
| 82.0ms | (sin.f64 ky) |
| 62.0ms | kx |
| 41.0ms | th |
| 39.0ms | (*.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)) |
| 39.0ms | (sin.f64 kx) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | kx |
| 99.6% | 1 | ky |
| 99.6% | 1 | th |
| 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 | (/.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 | (sin.f64 ky) |
| 99.6% | 1 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 99.6% | 1 | (sin.f64 kx) |
| 99.6% | 1 | (sin.f64 th) |
Compiled 69 to 51 computations (26.1% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) |
(*.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) kx) (sin.f64 ky)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 kx))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) |
(*.f64 (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 th (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky)) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) |
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) |
(*.f64 (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/3 binary64) (*.f64 ky ky) #s(literal 1 binary64)))))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (*.f64 kx (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.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)) (*.f64 ky ky)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 (sin.f64 th) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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)))))) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 binary64) (sin.f64 ky))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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 binary64) (sin.f64 ky))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (*.f64 kx (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (sin.f64 ky)) |
9 calls:
| 67.0ms | kx |
| 56.0ms | (/.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))))) |
| 53.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 52.0ms | (sin.f64 th) |
| 43.0ms | (sin.f64 ky) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 2 | kx |
| 99.2% | 2 | ky |
| 88.4% | 3 | th |
| 83.3% | 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)) |
| 99.2% | 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))))) |
| 99.2% | 3 | (sin.f64 ky) |
| 99.5% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 99.5% | 3 | (sin.f64 kx) |
| 86.6% | 3 | (sin.f64 th) |
Compiled 69 to 51 computations (26.1% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) |
(*.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) kx) (sin.f64 ky)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 kx))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) |
(*.f64 (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 th (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky)) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) |
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) |
(*.f64 (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/3 binary64) (*.f64 ky ky) #s(literal 1 binary64)))))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (*.f64 kx (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.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)) (*.f64 ky ky)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (*.f64 kx (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 th)) |
2 calls:
| 47.0ms | kx |
| 37.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 2 | kx |
| 99.5% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
Compiled 11 to 9 computations (18.2% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) |
(*.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) kx) (sin.f64 ky)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 kx))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) |
(*.f64 (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 th (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky)) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) |
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) |
(*.f64 (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/3 binary64) (*.f64 ky ky) #s(literal 1 binary64)))))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (*.f64 kx (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.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)) (*.f64 ky ky)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))))))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 ky ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))))) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (*.f64 kx (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (*.f64 kx (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))))) (sin.f64 th)) |
8 calls:
| 71.0ms | (sin.f64 kx) |
| 42.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 40.0ms | (/.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))))) |
| 36.0ms | (sin.f64 th) |
| 35.0ms | th |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.2% | 3 | (sin.f64 th) |
| 79.4% | 3 | th |
| 88.3% | 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))))) |
| 79.1% | 3 | (sin.f64 ky) |
| 81.7% | 4 | (sin.f64 kx) |
| 79.0% | 2 | ky |
| 80.0% | 2 | kx |
| 80.0% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
Compiled 50 to 38 computations (24% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) |
(*.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) kx) (sin.f64 ky)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 kx))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) |
(*.f64 (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 th (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky)) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) |
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) |
(*.f64 (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/3 binary64) (*.f64 ky ky) #s(literal 1 binary64)))))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (*.f64 kx (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (*.f64 kx (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (*.f64 kx (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))))) (sin.f64 th)) |
1 calls:
| 30.0ms | (/.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 |
|---|---|---|
| 88.3% | 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))))) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) |
(*.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) kx) (sin.f64 ky)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 kx))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) |
(*.f64 (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 th (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky)) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) |
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) |
(*.f64 (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/3 binary64) (*.f64 ky ky) #s(literal 1 binary64)))))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
1 calls:
| 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 |
|---|---|---|
| 88.2% | 6 | (/.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 16 to 11 computations (31.3% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) |
(*.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) kx) (sin.f64 ky)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 kx))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) |
(*.f64 (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 th (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky)) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) |
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) |
(*.f64 (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/3 binary64) (*.f64 ky ky) #s(literal 1 binary64)))))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (sin.f64 ky)) |
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
2 calls:
| 36.0ms | (*.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)) |
| 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 |
|---|---|---|
| 66.4% | 5 | (*.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)) |
| 87.9% | 6 | (/.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 35 to 24 computations (31.4% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) |
(*.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) kx) (sin.f64 ky)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 kx))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) |
(*.f64 (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 th (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky)) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) |
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) |
(*.f64 (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/3 binary64) (*.f64 ky ky) #s(literal 1 binary64)))))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (sin.f64 ky)) |
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
1 calls:
| 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 |
|---|---|---|
| 87.9% | 6 | (/.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 16 to 11 computations (31.3% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) |
(*.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) kx) (sin.f64 ky)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 kx))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) |
(*.f64 (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 th (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky)) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) |
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) |
(*.f64 (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/3 binary64) (*.f64 ky ky) #s(literal 1 binary64)))))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 ky)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (sin.f64 ky)) |
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
1 calls:
| 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))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.8% | 6 | (/.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 16 to 11 computations (31.3% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) |
(*.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) kx) (sin.f64 ky)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 kx))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) |
(*.f64 (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 th (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky)) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) |
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) |
(*.f64 (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/3 binary64) (*.f64 ky ky) #s(literal 1 binary64)))))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (sin.f64 ky)) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (sin.f64 ky)) |
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
1 calls:
| 27.0ms | (/.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 |
|---|---|---|
| 87.8% | 6 | (/.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 16 to 11 computations (31.3% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) |
(*.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) kx) (sin.f64 ky)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 kx))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) |
(*.f64 (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 th (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky)) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) |
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) |
(*.f64 (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (sin.f64 ky)) |
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
1 calls:
| 24.0ms | (/.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 |
|---|---|---|
| 87.8% | 6 | (/.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 16 to 11 computations (31.3% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) |
(*.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) kx) (sin.f64 ky)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 kx))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) |
(*.f64 (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 th (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky)) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) |
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) |
(*.f64 (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
1 calls:
| 24.0ms | (/.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 |
|---|---|---|
| 87.8% | 6 | (/.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 16 to 11 computations (31.3% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) |
(*.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) kx) (sin.f64 ky)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 kx))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) |
(*.f64 (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 th (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky)) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) |
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) |
(*.f64 (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
4 calls:
| 50.0ms | kx |
| 34.0ms | ky |
| 27.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 24.0ms | (/.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 |
|---|---|---|
| 79.0% | 2 | ky |
| 68.3% | 3 | kx |
| 67.5% | 3 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 79.0% | 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 31 to 23 computations (25.8% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) |
(*.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) kx) (sin.f64 ky)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 kx))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) |
(*.f64 (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 th (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky)) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) |
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.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))))))) (sin.f64 ky)) |
(*.f64 (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
1 calls:
| 38.0ms | ky |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.0% | 2 | ky |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) |
(*.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) kx) (sin.f64 ky)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 kx))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) |
(*.f64 (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 th (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky)) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
| Outputs |
|---|
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(sin.f64 th) |
6 calls:
| 29.0ms | (sin.f64 kx) |
| 20.0ms | (/.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 |
| 19.0ms | (sin.f64 th) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.8% | 1 | (sin.f64 th) |
| 71.6% | 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))))) |
| 69.9% | 3 | (sin.f64 ky) |
| 50.7% | 2 | th |
| 57.3% | 4 | (sin.f64 kx) |
| 64.6% | 2 | ky |
Compiled 39 to 29 computations (25.6% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) |
(*.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) kx) (sin.f64 ky)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 kx))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) |
(*.f64 (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 th (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky)) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(sin.f64 th) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
6 calls:
| 23.0ms | (*.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)) |
| 18.0ms | kx |
| 18.0ms | ky |
| 17.0ms | (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 |
|---|---|---|
| 45.6% | 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)) |
| 51.0% | 3 | ky |
| 51.8% | 3 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 51.8% | 3 | kx |
| 59.5% | 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))))) |
| 56.4% | 4 | (sin.f64 ky) |
Compiled 55 to 40 computations (27.3% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) |
(*.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) kx) (sin.f64 ky)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 kx))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) |
(*.f64 (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 th (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky)) |
| Outputs |
|---|
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(sin.f64 th) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
1 calls:
| 15.0ms | (/.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 |
|---|---|---|
| 59.5% | 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 16 to 11 computations (31.3% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) |
(*.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) kx) (sin.f64 ky)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 kx))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) |
(*.f64 (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 th (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) |
(sin.f64 th) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
1 calls:
| 15.0ms | (/.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 |
|---|---|---|
| 60.6% | 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))))) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) |
(*.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) kx) (sin.f64 ky)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 kx))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
| Outputs |
|---|
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) |
(sin.f64 th) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
1 calls:
| 13.0ms | (/.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 |
|---|---|---|
| 60.6% | 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))))) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) |
(*.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) kx) (sin.f64 ky)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 kx))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
| Outputs |
|---|
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) |
(sin.f64 th) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
3 calls:
| 31.0ms | (sin.f64 ky) |
| 14.0ms | (sin.f64 kx) |
| 14.0ms | (/.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 |
|---|---|---|
| 50.9% | 3 | (sin.f64 ky) |
| 51.8% | 4 | (sin.f64 kx) |
| 54.8% | 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 26 to 19 computations (26.9% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) |
(*.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) kx) (sin.f64 ky)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 kx))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) |
(sin.f64 th) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
1 calls:
| 12.0ms | (/.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 |
|---|---|---|
| 53.1% | 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 16 to 11 computations (31.3% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) |
(*.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) kx) (sin.f64 ky)) |
| Outputs |
|---|
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(sin.f64 th) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))) |
1 calls:
| 10.0ms | (/.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 |
|---|---|---|
| 53.0% | 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 16 to 11 computations (31.3% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) |
(*.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) |
| Outputs |
|---|
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(sin.f64 th) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
1 calls:
| 11.0ms | (/.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 |
|---|---|---|
| 53.0% | 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 16 to 11 computations (31.3% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) |
(*.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
| Outputs |
|---|
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(sin.f64 th) |
8 calls:
| 16.0ms | th |
| 9.0ms | kx |
| 9.0ms | (sin.f64 ky) |
| 8.0ms | (sin.f64 th) |
| 8.0ms | ky |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.9% | 3 | (sin.f64 kx) |
| 44.2% | 2 | (sin.f64 ky) |
| 43.5% | 2 | ky |
| 35.7% | 3 | kx |
| 34.3% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 29.6% | 1 | (sin.f64 th) |
| 31.2% | 2 | th |
| 45.6% | 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 50 to 38 computations (24% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) |
(*.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) kx) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (fma.f64 ky (*.f64 (*.f64 ky (neg.f64 ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/6 binary64) kx))) (/.f64 ky kx)) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) |
(sin.f64 th) |
2 calls:
| 23.0ms | (/.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))))) |
| 7.0ms | (sin.f64 ky) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.1% | 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))))) |
| 43.7% | 2 | (sin.f64 ky) |
Compiled 21 to 15 computations (28.6% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 ky (sin.f64 kx))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
| Outputs |
|---|
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(sin.f64 th) |
2 calls:
| 6.0ms | (sin.f64 ky) |
| 6.0ms | ky |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.5% | 2 | ky |
| 43.3% | 2 | (sin.f64 ky) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(*.f64 th (/.f64 (sin.f64 ky) kx)) |
| Outputs |
|---|
(*.f64 ky (/.f64 (sin.f64 th) kx)) |
(sin.f64 th) |
2 calls:
| 24.0ms | ky |
| 5.0ms | (/.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 |
|---|---|---|
| 44.7% | 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))))) |
| 43.5% | 2 | ky |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
(sin.f64 th) |
| Outputs |
|---|
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(sin.f64 th) |
7 calls:
| 22.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 7.0ms | (sin.f64 ky) |
| 5.0ms | (*.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)) |
| 5.0ms | ky |
| 5.0ms | kx |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.6% | 1 | (sin.f64 kx) |
| 29.6% | 1 | kx |
| 29.6% | 1 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 33.3% | 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)) |
| 33.2% | 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))))) |
| 31.3% | 2 | (sin.f64 ky) |
| 29.6% | 1 | ky |
Compiled 60 to 44 computations (26.7% saved)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(*.f64 th (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 th (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))))) |
| Outputs |
|---|
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) |
th |
9 calls:
| 5.0ms | (/.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))))) |
| 5.0ms | th |
| 5.0ms | 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)) |
| 4.0ms | (sin.f64 th) |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.2% | 1 | (sin.f64 th) |
| 21.0% | 2 | ky |
| 20.6% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 20.5% | 2 | kx |
| 20.0% | 2 | (sin.f64 kx) |
| 18.2% | 1 | th |
| 21.1% | 2 | (sin.f64 ky) |
| 22.7% | 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)) |
| 22.0% | 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 69 to 51 computations (26.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
th |
(*.f64 th #s(literal 1 binary64)) |
| Outputs |
|---|
th |
7 calls:
| 4.0ms | (sin.f64 ky) |
| 2.0ms | (*.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)) |
| 2.0ms | (/.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))))) |
| 2.0ms | (sin.f64 kx) |
| 2.0ms | ky |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.2% | 1 | (sin.f64 kx) |
| 18.2% | 1 | kx |
| 18.2% | 1 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 18.2% | 1 | ky |
| 18.2% | 1 | (sin.f64 ky) |
| 18.2% | 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))))) |
| 18.2% | 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)) |
Compiled 60 to 44 computations (26.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.59858174434561e-9 | 2.837659583835256e-6 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.59858174434561e-9 | 2.837659583835256e-6 |
Compiled 22 to 19 computations (13.6% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9972100096984805 | 0.9999999795243903 |
| 0.0ms | 0.33016339395263533 | 0.34354172322212423 |
| 0.0ms | -0.07578918200610092 | 1.1108563170772233e-307 |
| 0.0ms | -0.9967412613020752 | -0.9852828445000799 |
Compiled 22 to 19 computations (13.6% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9972100096984805 | 0.9999999795243903 |
| 0.0ms | 0.33016339395263533 | 0.34354172322212423 |
| 0.0ms | -0.07578918200610092 | 1.1108563170772233e-307 |
| 0.0ms | -0.9967412613020752 | -0.9852828445000799 |
Compiled 22 to 19 computations (13.6% saved)
| 5× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | +inf |
| 0.0ms | 0.9972100096984805 | 0.9999999795243903 |
| 0.0ms | 0.33016339395263533 | 0.34354172322212423 |
| 0.0ms | -0.07578918200610092 | 1.1108563170772233e-307 |
| 0.0ms | -0.9999985225381355 | -0.9967412613020752 |
Compiled 22 to 19 computations (13.6% saved)
| 5× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | +inf |
| 0.0ms | 0.9972100096984805 | 0.9999999795243903 |
| 0.0ms | 0.33016339395263533 | 0.34354172322212423 |
| 0.0ms | -0.07578918200610092 | 1.1108563170772233e-307 |
| 0.0ms | -0.9999985225381355 | -0.9967412613020752 |
Compiled 22 to 19 computations (13.6% saved)
| 5× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | +inf |
| 0.0ms | 0.9972100096984805 | 0.9999999795243903 |
| 0.0ms | 0.17903576991374742 | 0.23483505168040097 |
| 0.0ms | -0.07578918200610092 | 1.1108563170772233e-307 |
| 0.0ms | -0.9999985225381355 | -0.9967412613020752 |
Compiled 22 to 19 computations (13.6% saved)
| 5× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | +inf |
| 0.0ms | 0.9972100096984805 | 0.9999999795243903 |
| 0.0ms | 0.0011516577938517178 | 0.027803807978284106 |
| 0.0ms | -0.07578918200610092 | 1.1108563170772233e-307 |
| 0.0ms | -0.9999985225381355 | -0.9967412613020752 |
Compiled 22 to 19 computations (13.6% saved)
| 5× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | +inf |
| 0.0ms | 0.9972100096984805 | 0.9999999795243903 |
| 0.0ms | 0.0011516577938517178 | 0.027803807978284106 |
| 0.0ms | -0.07578918200610092 | 1.1108563170772233e-307 |
| 0.0ms | -0.9999985225381355 | -0.9967412613020752 |
Compiled 22 to 19 computations (13.6% saved)
| 5× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | +inf |
| 0.0ms | 0.9972100096984805 | 0.9999999795243903 |
| 0.0ms | 0.0011516577938517178 | 0.027803807978284106 |
| 0.0ms | -0.07578918200610092 | 1.1108563170772233e-307 |
| 0.0ms | -1.0 | -0.9999985225381355 |
Compiled 22 to 19 computations (13.6% saved)
| 5× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | +inf |
| 0.0ms | 0.9972100096984805 | 0.9999999795243903 |
| 0.0ms | 0.0011516577938517178 | 0.027803807978284106 |
| 0.0ms | -0.07578918200610092 | 1.1108563170772233e-307 |
| 0.0ms | -1.0 | -0.9999985225381355 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 0.0007942996535068334 | 67.1208717372127 |
| 19.0ms | 144× | 0 | valid |
Compiled 454 to 315 computations (30.6% saved)
ival-sin: 8.0ms (56.5% of total)ival-pow2: 2.0ms (14.1% of total)ival-div: 1.0ms (7.1% of total)ival-add: 1.0ms (7.1% of total)ival-mult: 1.0ms (7.1% of total)ival-sqrt: 1.0ms (7.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0007942996535068334 | 67.1208717372127 |
Compiled 364 to 270 computations (25.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0007942995699846469 | 0.023503556774718794 |
| 0.0ms | -0.16788255897086965 | -0.08061591951267609 |
Compiled 21 to 18 computations (14.3% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | +inf |
| 0.0ms | 0.11452643125953696 | 0.17903576991374742 |
| 0.0ms | -0.9852828445000799 | -0.9774363116678829 |
Compiled 22 to 19 computations (13.6% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | +inf |
| 0.0ms | 0.11452643125953696 | 0.17903576991374742 |
| 0.0ms | -0.9852828445000799 | -0.9774363116678829 |
Compiled 22 to 19 computations (13.6% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | +inf |
| 0.0ms | 9.594631231482209e-7 | 0.0011516577938517178 |
| 0.0ms | 2.4222385762231025e-126 | 6.926216955892392e-126 |
| 0.0ms | -0.21521527894106646 | -0.09993956100650617 |
Compiled 22 to 19 computations (13.6% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | +inf |
| 0.0ms | 9.594631231482209e-7 | 0.0011516577938517178 |
| 0.0ms | 2.4222385762231025e-126 | 6.926216955892392e-126 |
| 0.0ms | -0.07578918200610092 | 1.1108563170772233e-307 |
Compiled 22 to 19 computations (13.6% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | +inf |
| 0.0ms | 9.594631231482209e-7 | 0.0011516577938517178 |
| 0.0ms | 2.4222385762231025e-126 | 6.926216955892392e-126 |
Compiled 22 to 19 computations (13.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | +inf |
| 0.0ms | 9.594631231482209e-7 | 0.0011516577938517178 |
Compiled 22 to 19 computations (13.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | +inf |
| 0.0ms | 9.594631231482209e-7 | 0.0011516577938517178 |
Compiled 22 to 19 computations (13.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | +inf |
| 0.0ms | 9.594631231482209e-7 | 0.0011516577938517178 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.412912883285193e-114 | 1.4844675876158672e-114 |
Compiled 21 to 18 computations (14.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.412912883285193e-114 | 1.4844675876158672e-114 |
Compiled 21 to 18 computations (14.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 1.412912883285193e-114 | 1.4844675876158672e-114 |
| 2.0ms | 16× | 0 | valid |
Compiled 38 to 30 computations (21.1% saved)
ival-sin: 1.0ms (67.9% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-pow2: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.412912883285193e-114 | 1.4844675876158672e-114 |
Compiled 38 to 30 computations (21.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 2.4833668858856226e-45 | 3.0234149811210493e-45 |
| 3.0ms | 48× | 0 | valid |
Compiled 73 to 58 computations (20.5% saved)
ival-sin: 1.0ms (71.8% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.103199422200571e-308 | 3.4655849164045425e-308 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | egg-herbie |
| 96× | *-commutative_binary64 |
| 14× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 237 | 2677 |
| 1 | 294 | 2677 |
| 2 | 300 | 2677 |
| 3 | 304 | 2677 |
| 4 | 306 | 2677 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (*.f64 kx (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (sin.f64 ky))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (*.f64 kx (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 th))) |
(if (<=.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(literal -4458563631096791/4503599627370496 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (*.f64 kx (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))))) (sin.f64 th)) (if (<=.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(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) (if (<=.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(literal 6124895493223875/18014398509481984 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th)) (if (<=.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(literal 4494592428115755/4503599627370496 binary64)) (*.f64 (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (*.f64 kx (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))))) (sin.f64 th)))))) |
(if (<=.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(literal -4458563631096791/4503599627370496 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (*.f64 kx (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))))) (sin.f64 th)) (if (<=.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(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) (if (<=.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(literal 6124895493223875/18014398509481984 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th)) (if (<=.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(literal 4494592428115755/4503599627370496 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (*.f64 kx (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))))) (sin.f64 th)))))) |
(if (<=.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(literal -4494592428115755/4503599627370496 binary64)) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) (if (<=.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(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) (if (<=.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(literal 6124895493223875/18014398509481984 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th)) (if (<=.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(literal 4494592428115755/4503599627370496 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) (if (<=.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(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) (*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))))))) |
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(if (<=.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(literal -1 binary64)) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (if (<=.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(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (if (<=.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(literal 1152921504606847/576460752303423488 binary64)) (*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) (if (<=.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(literal 4494592428115755/4503599627370496 binary64)) (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (if (<=.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(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) (*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))))))) |
(if (<=.f64 ky #s(literal 3804640965202595/576460752303423488 binary64)) (*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
(if (<=.f64 ky #s(literal 3804640965202595/576460752303423488 binary64)) (*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) (if (<=.f64 (sin.f64 ky) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) (sin.f64 th))) |
(if (<=.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(literal -2206763817411543/2251799813685248 binary64)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) (if (<=.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(literal 5404319552844595/36028797018963968 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.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(literal 2 binary64)) (sin.f64 th) (*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))))) |
(if (<=.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(literal -2206763817411543/2251799813685248 binary64)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) (if (<=.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(literal 5404319552844595/36028797018963968 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.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(literal 2 binary64)) (sin.f64 th) (*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)))))) |
(if (<=.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(literal -3602879701896397/18014398509481984 binary64)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) (if (<=.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(literal 3048582568667961/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (if (<=.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(literal 4722366482869645/4722366482869645213696 binary64)) (*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) (if (<=.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(literal 2 binary64)) (sin.f64 th) (*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))))))) |
(if (<=.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(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) (if (<=.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(literal 3048582568667961/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (if (<=.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(literal 4722366482869645/4722366482869645213696 binary64)) (*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) (if (<=.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(literal 2 binary64)) (sin.f64 th) (*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))))))) |
(if (<=.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(literal 3048582568667961/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (if (<=.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(literal 4722366482869645/4722366482869645213696 binary64)) (*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) (if (<=.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(literal 2 binary64)) (sin.f64 th) (*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)))))) |
(if (<=.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(literal 4722366482869645/4722366482869645213696 binary64)) (*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx)) (sin.f64 th)) (if (<=.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(literal 2 binary64)) (sin.f64 th) (*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))))) |
(if (<=.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(literal 4722366482869645/4722366482869645213696 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (if (<=.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(literal 2 binary64)) (sin.f64 th) (*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))))) |
(if (<=.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(literal 4722366482869645/4722366482869645213696 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (if (<=.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(literal 2 binary64)) (sin.f64 th) (*.f64 (/.f64 ky kx) (sin.f64 th)))) |
(if (<=.f64 (sin.f64 ky) #s(literal 8040742112950363/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) (sin.f64 th)) |
(if (<=.f64 (sin.f64 ky) #s(literal 8040742112950363/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) (sin.f64 th)) |
(if (<=.f64 ky #s(literal 8040742112950363/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (*.f64 (/.f64 ky kx) (sin.f64 th)) (sin.f64 th)) |
(if (<=.f64 ky #s(literal 8040742112950363/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (*.f64 ky (/.f64 (sin.f64 th) kx)) (sin.f64 th)) |
(if (<=.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(literal 4820814132776971/1606938044258990275541962092341162602522202993782792835301376 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) (sin.f64 th)) |
(if (<=.f64 (*.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)) #s(literal 1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) th) |
th |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (*.f64 kx (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (sin.f64 ky))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (*.f64 kx (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)))))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (*.f64 kx (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))) (sin.f64 th))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (*.f64 kx (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)))))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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))))))))) |
(if (<=.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(literal -4458563631096791/4503599627370496 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (*.f64 kx (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))))) (sin.f64 th)) (if (<=.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(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) (if (<=.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(literal 6124895493223875/18014398509481984 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th)) (if (<=.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(literal 4494592428115755/4503599627370496 binary64)) (*.f64 (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (*.f64 kx (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))))) (sin.f64 th)))))) |
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(if (<=.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(literal -1 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (if (<=.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(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 ky) th)) (if (<=.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(literal 1152921504606847/576460752303423488 binary64)) (*.f64 (sin.f64 th) (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (hypot.f64 (sin.f64 kx) ky))) (if (<=.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(literal 4494592428115755/4503599627370496 binary64)) (*.f64 (sin.f64 ky) (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))) (if (<=.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(literal 2 binary64)) (*.f64 (sin.f64 th) (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (sin.f64 th) (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)))))))) |
(if (<=.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(literal -1 binary64)) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (if (<=.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(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (if (<=.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(literal 1152921504606847/576460752303423488 binary64)) (*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) (if (<=.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(literal 4494592428115755/4503599627370496 binary64)) (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (if (<=.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(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) (*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))))))) |
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(if (<=.f64 ky #s(literal 3804640965202595/576460752303423488 binary64)) (*.f64 (sin.f64 th) (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (hypot.f64 (sin.f64 kx) ky))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) |
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(if (<=.f64 ky #s(literal 8040742112950363/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (*.f64 ky (/.f64 (sin.f64 th) kx)) (sin.f64 th)) |
(if (<=.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(literal 4820814132776971/1606938044258990275541962092341162602522202993782792835301376 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) (sin.f64 th)) |
(if (<=.f64 (*.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)) #s(literal 1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) th) |
(if (<=.f64 (*.f64 (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)))))) #s(literal 1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) th) |
th |
| 14 278× | lower-fma.f64 |
| 14 278× | lower-fma.f32 |
| 8 918× | lower-fma.f64 |
| 8 918× | lower-fma.f32 |
| 8 626× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 774 | 6786 |
| 1 | 2541 | 6531 |
| 2 | 6156 | 6431 |
| 0 | 8168 | 5988 |
| 0 | 1205 | 14396 |
| 1 | 4086 | 13654 |
| 2 | 7415 | 13654 |
| 0 | 8115 | 12722 |
| 0 | 41 | 274 |
| 0 | 79 | 267 |
| 1 | 272 | 226 |
| 0 | 1987 | 210 |
| 0 | 26 | 112 |
| 0 | 51 | 110 |
| 1 | 164 | 106 |
| 2 | 997 | 106 |
| 0 | 9018 | 106 |
| 0 | 48 | 307 |
| 0 | 91 | 307 |
| 1 | 341 | 215 |
| 0 | 2922 | 194 |
| 0 | 317 | 2263 |
| 1 | 1011 | 2214 |
| 2 | 3860 | 2122 |
| 3 | 7803 | 2122 |
| 0 | 8106 | 1974 |
| 0 | 1074 | 12121 |
| 1 | 3518 | 11652 |
| 0 | 8054 | 10768 |
| 0 | 13 | 49 |
| 0 | 22 | 49 |
| 1 | 62 | 49 |
| 2 | 338 | 49 |
| 3 | 2902 | 49 |
| 0 | 8284 | 34 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 5 547 to 2 284 computations (58.8% saved)
(negabs ky)
(negabs th)
(abs kx)
Compiled 5 482 to 548 computations (90% saved)
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