
Time bar (total: 17.8s)
| 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)
| 1.6s | 8 256× | 0 | valid |
ival-sin: 693.0ms (51.5% of total)ival-pow2: 299.0ms (22.2% of total)ival-add: 123.0ms (9.1% of total)ival-div: 103.0ms (7.7% of total)ival-sqrt: 63.0ms (4.7% of total)ival-mult: 55.0ms (4.1% of total)ival-true: 7.0ms (0.5% of total)ival-assert: 4.0ms (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 |
|---|---|---|---|---|---|
| 256 | 0 | - | 256 | (2.3119856179954003e+207 5.4189074203449446e+256 2.943295262673867e-53) | (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
| 256 | 0 | - | 256 | (2.3119856179954003e+207 5.4189074203449446e+256 2.943295262673867e-53) | (/.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))))) |
| 256 | 0 | - | 256 | (2.3119856179954003e+207 5.4189074203449446e+256 2.943295262673867e-53) | (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
| 256 | 0 | - | 240 | (2.3119856179954003e+207 5.4189074203449446e+256 2.943295262673867e-53) | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
| 232 | 0 | - | 232 | (2.3119856179954003e+207 5.4189074203449446e+256 2.943295262673867e-53) | (*.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)) |
| 193 | 0 | - | 193 | (2.3119856179954003e+207 5.4189074203449446e+256 2.943295262673867e-53) | (sin.f64 kx) |
| 132 | 0 | - | 132 | (2.3119856179954003e+207 5.4189074203449446e+256 2.943295262673867e-53) | (sin.f64 ky) |
| 0 | 0 | - | 0 | - | (sin.f64 th) |
| 0 | 0 | - | 0 | - | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | th |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 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 | 16 | 0 |
| ↳ | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) | underflow | 60 | |
| ↳ | (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) | underflow | 75 | |
| ↳ | (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) | underflow | 16 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 16 | 0 |
| - | 0 | 240 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 16 | 0 | 0 |
| - | 0 | 0 | 240 |
| number | freq |
|---|---|
| 0 | 240 |
| 1 | 16 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 91.0ms | 512× | 0 | valid |
Compiled 243 to 69 computations (71.6% saved)
ival-sin: 36.0ms (55.5% of total)ival-sqrt: 10.0ms (15.4% of total)ival-pow2: 9.0ms (13.9% of total)ival-div: 3.0ms (4.6% of total)ival-mult: 3.0ms (4.6% of total)ival-add: 2.0ms (3.1% of total)ival-true: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.6% | (*.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 | 13.9% | (*.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 | 7.6% | (/.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))))) |
| ✓ | accuracy | 6.6% | (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
| ✓ | accuracy | 5.7% | (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
| 42.0ms | 256× | 0 | valid |
Compiled 137 to 28 computations (79.6% saved)
ival-sin: 20.0ms (63.8% of total)ival-pow2: 5.0ms (15.9% of total)ival-div: 2.0ms (6.4% of total)ival-mult: 2.0ms (6.4% of total)ival-sqrt: 2.0ms (6.4% of total)ival-add: 1.0ms (3.2% 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 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))> |
#<alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64))> |
| Outputs |
|---|
#<alt (sqrt (pow (sin ky) 3))> |
#<alt (+ (sqrt (pow (sin ky) 3)) (* 1/2 (* (pow kx 3) (sqrt (/ 1 (pow (sin ky) 3))))))> |
#<alt (+ (sqrt (pow (sin ky) 3)) (* (pow kx 3) (+ (* -1/4 (* (pow kx 2) (sqrt (/ 1 (pow (sin ky) 3))))) (* 1/2 (sqrt (/ 1 (pow (sin ky) 3)))))))> |
#<alt (+ (sqrt (pow (sin ky) 3)) (* (pow kx 3) (+ (* 1/2 (sqrt (/ 1 (pow (sin ky) 3)))) (* (pow kx 2) (+ (* -1/4 (sqrt (/ 1 (pow (sin ky) 3)))) (* -1/8 (* kx (sqrt (/ 1 (pow (sin ky) 9))))))))))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (pow (sin kx) 3))> |
#<alt (+ (sqrt (pow (sin kx) 3)) (* 1/2 (* (pow ky 3) (sqrt (/ 1 (pow (sin kx) 3))))))> |
#<alt (+ (sqrt (pow (sin kx) 3)) (* (pow ky 3) (+ (* -1/4 (* (pow ky 2) (sqrt (/ 1 (pow (sin kx) 3))))) (* 1/2 (sqrt (/ 1 (pow (sin kx) 3)))))))> |
#<alt (+ (sqrt (pow (sin kx) 3)) (* (pow ky 3) (+ (* 1/2 (sqrt (/ 1 (pow (sin kx) 3)))) (* (pow ky 2) (+ (* -1/4 (sqrt (/ 1 (pow (sin kx) 3)))) (* -1/8 (* ky (sqrt (/ 1 (pow (sin kx) 9))))))))))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (/ (* ky (sin th)) (pow (sin kx) 4))> |
#<alt (* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 4))) (/ (sin th) (pow (sin kx) 4))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (pow (sin kx) 4))) (* 1/120 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 4))))) (/ (sin th) (pow (sin kx) 4))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (pow (sin kx) 4))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 4))) (* 1/120 (/ (sin th) (pow (sin kx) 4))))))) (/ (sin th) (pow (sin kx) 4))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10)))))> |
#<alt (/ (sin th) (pow (sin ky) 3))> |
#<alt (/ (sin th) (pow (sin ky) 3))> |
#<alt (+ (* -1/2 (/ (* (pow kx 8) (sin th)) (pow (sin ky) 11))) (/ (sin th) (pow (sin ky) 3)))> |
#<alt (+ (* (pow kx 8) (+ (* -1/2 (/ (sin th) (pow (sin ky) 11))) (* 2/3 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 11))))) (/ (sin th) (pow (sin ky) 3)))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7)))))> |
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8))))))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10)))))> |
#<alt (* ky (sqrt (/ 1 (pow (sin kx) 5))))> |
#<alt (* ky (+ (sqrt (/ 1 (pow (sin kx) 5))) (* -1/6 (* (pow ky 2) (sqrt (/ 1 (pow (sin kx) 5)))))))> |
#<alt (* ky (+ (sqrt (/ 1 (pow (sin kx) 5))) (* (pow ky 2) (+ (* -1/6 (sqrt (/ 1 (pow (sin kx) 5)))) (* 1/120 (* (pow ky 2) (sqrt (/ 1 (pow (sin kx) 5)))))))))> |
#<alt (* ky (+ (sqrt (/ 1 (pow (sin kx) 5))) (* (pow ky 2) (+ (* -1/6 (sqrt (/ 1 (pow (sin kx) 5)))) (* (pow ky 2) (+ (* -1/2 (* ky (sqrt (/ 1 (pow (sin kx) 15))))) (* 1/120 (sqrt (/ 1 (pow (sin kx) 5))))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7)))))> |
#<alt (sqrt (/ 1 (pow (sin ky) 3)))> |
#<alt (+ (sqrt (/ 1 (pow (sin ky) 3))) (* -1/2 (* (pow kx 5) (sqrt (/ 1 (pow (sin ky) 13))))))> |
#<alt (+ (sqrt (/ 1 (pow (sin ky) 3))) (* (pow kx 5) (+ (* -1/2 (sqrt (/ 1 (pow (sin ky) 13)))) (* 5/12 (* (pow kx 2) (sqrt (/ 1 (pow (sin ky) 13))))))))> |
#<alt (+ (sqrt (/ 1 (pow (sin ky) 3))) (* (pow kx 5) (+ (* -1/2 (sqrt (/ 1 (pow (sin ky) 13)))) (* (pow kx 2) (+ (* -23/144 (* (pow kx 2) (sqrt (/ 1 (pow (sin ky) 13))))) (* 5/12 (sqrt (/ 1 (pow (sin ky) 13)))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4)))))> |
#<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 (sin ky) 3)> |
#<alt (+ (pow kx 3) (pow (sin ky) 3))> |
#<alt (+ (* (pow kx 3) (+ 1 (* -1/2 (pow kx 2)))) (pow (sin ky) 3))> |
#<alt (+ (* (pow kx 3) (+ 1 (* (pow kx 2) (- (* 13/120 (pow kx 2)) 1/2)))) (pow (sin ky) 3))> |
#<alt (+ (pow (sin kx) 3) (pow (sin ky) 3))> |
#<alt (+ (pow (sin kx) 3) (pow (sin ky) 3))> |
#<alt (+ (pow (sin kx) 3) (pow (sin ky) 3))> |
#<alt (+ (pow (sin kx) 3) (pow (sin ky) 3))> |
#<alt (+ (pow (sin kx) 3) (pow (sin ky) 3))> |
#<alt (+ (pow (sin kx) 3) (pow (sin ky) 3))> |
#<alt (+ (pow (sin kx) 3) (pow (sin ky) 3))> |
#<alt (+ (pow (sin kx) 3) (pow (sin ky) 3))> |
#<alt (pow (sin kx) 3)> |
#<alt (+ (pow ky 3) (pow (sin kx) 3))> |
#<alt (+ (* (pow ky 3) (+ 1 (* -1/2 (pow ky 2)))) (pow (sin kx) 3))> |
#<alt (+ (* (pow ky 3) (+ 1 (* (pow ky 2) (- (* 13/120 (pow ky 2)) 1/2)))) (pow (sin kx) 3))> |
#<alt (+ (pow (sin kx) 3) (pow (sin ky) 3))> |
#<alt (+ (pow (sin kx) 3) (pow (sin ky) 3))> |
#<alt (+ (pow (sin kx) 3) (pow (sin ky) 3))> |
#<alt (+ (pow (sin kx) 3) (pow (sin ky) 3))> |
#<alt (+ (pow (sin kx) 3) (pow (sin ky) 3))> |
#<alt (+ (pow (sin kx) 3) (pow (sin ky) 3))> |
#<alt (+ (pow (sin kx) 3) (pow (sin ky) 3))> |
#<alt (+ (pow (sin kx) 3) (pow (sin ky) 3))> |
#<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) 4)> |
#<alt (pow (sin ky) 4)> |
#<alt (pow (sin ky) 4)> |
#<alt (pow (sin ky) 4)> |
#<alt (pow (sin ky) 4)> |
#<alt (pow (sin ky) 4)> |
#<alt (pow (sin ky) 4)> |
#<alt (pow (sin ky) 4)> |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | th | @ | inf | (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) |
| 32.0ms | kx | @ | 0 | (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
| 6.0ms | kx | @ | inf | (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) |
| 3.0ms | ky | @ | inf | (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) |
| 3.0ms | th | @ | -inf | (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) |
Compiled 505 to 366 computations (27.5% saved)
| 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 | 54 |
| 0 | 22 | 54 |
| 1 | 62 | 54 |
| 2 | 338 | 54 |
| 3 | 2902 | 54 |
| 0 | 8284 | 37 |
| 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) |
(+.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)) |
| 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)))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 18 binary64)) (pow.f64 (sin.f64 ky) #s(literal 18 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (-.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))) (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)))))) |
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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 (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)) |
| 1× | egg-herbie |
| 16 720× | lower-fma.f64 |
| 16 720× | lower-fma.f32 |
| 6 626× | lower-+.f64 |
| 6 626× | lower-+.f32 |
| 6 126× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 282 | 2048 |
| 1 | 747 | 1936 |
| 2 | 2304 | 1876 |
| 3 | 3544 | 1851 |
| 4 | 6452 | 1851 |
| 5 | 6922 | 1851 |
| 6 | 7386 | 1851 |
| 7 | 7838 | 1851 |
| 0 | 8008 | 1790 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (pow (sin ky) 3)) |
(+ (sqrt (pow (sin ky) 3)) (* 1/2 (* (pow kx 3) (sqrt (/ 1 (pow (sin ky) 3)))))) |
(+ (sqrt (pow (sin ky) 3)) (* (pow kx 3) (+ (* -1/4 (* (pow kx 2) (sqrt (/ 1 (pow (sin ky) 3))))) (* 1/2 (sqrt (/ 1 (pow (sin ky) 3))))))) |
(+ (sqrt (pow (sin ky) 3)) (* (pow kx 3) (+ (* 1/2 (sqrt (/ 1 (pow (sin ky) 3)))) (* (pow kx 2) (+ (* -1/4 (sqrt (/ 1 (pow (sin ky) 3)))) (* -1/8 (* kx (sqrt (/ 1 (pow (sin ky) 9)))))))))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (pow (sin kx) 3)) |
(+ (sqrt (pow (sin kx) 3)) (* 1/2 (* (pow ky 3) (sqrt (/ 1 (pow (sin kx) 3)))))) |
(+ (sqrt (pow (sin kx) 3)) (* (pow ky 3) (+ (* -1/4 (* (pow ky 2) (sqrt (/ 1 (pow (sin kx) 3))))) (* 1/2 (sqrt (/ 1 (pow (sin kx) 3))))))) |
(+ (sqrt (pow (sin kx) 3)) (* (pow ky 3) (+ (* 1/2 (sqrt (/ 1 (pow (sin kx) 3)))) (* (pow ky 2) (+ (* -1/4 (sqrt (/ 1 (pow (sin kx) 3)))) (* -1/8 (* ky (sqrt (/ 1 (pow (sin kx) 9)))))))))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(/ (* ky (sin th)) (pow (sin kx) 4)) |
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 4))) (/ (sin th) (pow (sin kx) 4)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (pow (sin kx) 4))) (* 1/120 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 4))))) (/ (sin th) (pow (sin kx) 4)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (pow (sin kx) 4))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 4))) (* 1/120 (/ (sin th) (pow (sin kx) 4))))))) (/ (sin th) (pow (sin kx) 4)))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(/ (sin th) (pow (sin ky) 3)) |
(/ (sin th) (pow (sin ky) 3)) |
(+ (* -1/2 (/ (* (pow kx 8) (sin th)) (pow (sin ky) 11))) (/ (sin th) (pow (sin ky) 3))) |
(+ (* (pow kx 8) (+ (* -1/2 (/ (sin th) (pow (sin ky) 11))) (* 2/3 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 11))))) (/ (sin th) (pow (sin ky) 3))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(* ky (sqrt (/ 1 (pow (sin kx) 5)))) |
(* ky (+ (sqrt (/ 1 (pow (sin kx) 5))) (* -1/6 (* (pow ky 2) (sqrt (/ 1 (pow (sin kx) 5))))))) |
(* ky (+ (sqrt (/ 1 (pow (sin kx) 5))) (* (pow ky 2) (+ (* -1/6 (sqrt (/ 1 (pow (sin kx) 5)))) (* 1/120 (* (pow ky 2) (sqrt (/ 1 (pow (sin kx) 5))))))))) |
(* ky (+ (sqrt (/ 1 (pow (sin kx) 5))) (* (pow ky 2) (+ (* -1/6 (sqrt (/ 1 (pow (sin kx) 5)))) (* (pow ky 2) (+ (* -1/2 (* ky (sqrt (/ 1 (pow (sin kx) 15))))) (* 1/120 (sqrt (/ 1 (pow (sin kx) 5)))))))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(sqrt (/ 1 (pow (sin ky) 3))) |
(+ (sqrt (/ 1 (pow (sin ky) 3))) (* -1/2 (* (pow kx 5) (sqrt (/ 1 (pow (sin ky) 13)))))) |
(+ (sqrt (/ 1 (pow (sin ky) 3))) (* (pow kx 5) (+ (* -1/2 (sqrt (/ 1 (pow (sin ky) 13)))) (* 5/12 (* (pow kx 2) (sqrt (/ 1 (pow (sin ky) 13)))))))) |
(+ (sqrt (/ 1 (pow (sin ky) 3))) (* (pow kx 5) (+ (* -1/2 (sqrt (/ 1 (pow (sin ky) 13)))) (* (pow kx 2) (+ (* -23/144 (* (pow kx 2) (sqrt (/ 1 (pow (sin ky) 13))))) (* 5/12 (sqrt (/ 1 (pow (sin ky) 13))))))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
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 (sin ky) 3) |
(+ (pow kx 3) (pow (sin ky) 3)) |
(+ (* (pow kx 3) (+ 1 (* -1/2 (pow kx 2)))) (pow (sin ky) 3)) |
(+ (* (pow kx 3) (+ 1 (* (pow kx 2) (- (* 13/120 (pow kx 2)) 1/2)))) (pow (sin ky) 3)) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(pow (sin kx) 3) |
(+ (pow ky 3) (pow (sin kx) 3)) |
(+ (* (pow ky 3) (+ 1 (* -1/2 (pow ky 2)))) (pow (sin kx) 3)) |
(+ (* (pow ky 3) (+ 1 (* (pow ky 2) (- (* 13/120 (pow ky 2)) 1/2)))) (pow (sin kx) 3)) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(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) 4) |
(pow (sin ky) 4) |
(pow (sin ky) 4) |
(pow (sin ky) 4) |
(pow (sin ky) 4) |
(pow (sin ky) 4) |
(pow (sin ky) 4) |
(pow (sin ky) 4) |
| Outputs |
|---|
(sqrt (pow (sin ky) 3)) |
(sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(+ (sqrt (pow (sin ky) 3)) (* 1/2 (* (pow kx 3) (sqrt (/ 1 (pow (sin ky) 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) |
(+ (sqrt (pow (sin ky) 3)) (* (pow kx 3) (+ (* -1/4 (* (pow kx 2) (sqrt (/ 1 (pow (sin ky) 3))))) (* 1/2 (sqrt (/ 1 (pow (sin ky) 3))))))) |
(fma.f64 (*.f64 kx (*.f64 kx kx)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 kx kx) #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) |
(+ (sqrt (pow (sin ky) 3)) (* (pow kx 3) (+ (* 1/2 (sqrt (/ 1 (pow (sin ky) 3)))) (* (pow kx 2) (+ (* -1/4 (sqrt (/ 1 (pow (sin ky) 3)))) (* -1/8 (* kx (sqrt (/ 1 (pow (sin ky) 9)))))))))) |
(fma.f64 kx (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 (*.f64 kx kx) (*.f64 kx #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 kx kx) #s(literal 1/2 binary64))))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (pow (sin kx) 3)) |
(sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) |
(+ (sqrt (pow (sin kx) 3)) (* 1/2 (* (pow ky 3) (sqrt (/ 1 (pow (sin kx) 3)))))) |
(fma.f64 (*.f64 ky (*.f64 ky ky)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(+ (sqrt (pow (sin kx) 3)) (* (pow ky 3) (+ (* -1/4 (* (pow ky 2) (sqrt (/ 1 (pow (sin kx) 3))))) (* 1/2 (sqrt (/ 1 (pow (sin kx) 3))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 (*.f64 ky (*.f64 ky ky)) (fma.f64 #s(literal -1/4 binary64) (*.f64 ky ky) #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(+ (sqrt (pow (sin kx) 3)) (* (pow ky 3) (+ (* 1/2 (sqrt (/ 1 (pow (sin kx) 3)))) (* (pow ky 2) (+ (* -1/4 (sqrt (/ 1 (pow (sin kx) 3)))) (* -1/8 (* ky (sqrt (/ 1 (pow (sin kx) 9)))))))))) |
(fma.f64 (*.f64 ky (*.f64 ky ky)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 ky ky) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 ky ky) (*.f64 ky #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 9 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(/ (* ky (sin th)) (pow (sin kx) 4)) |
(/.f64 (*.f64 ky (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) |
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 4))) (/ (sin th) (pow (sin kx) 4)))) |
(*.f64 (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (*.f64 (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 th))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (pow (sin kx) 4))) (* 1/120 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 4))))) (/ (sin th) (pow (sin kx) 4)))) |
(*.f64 ky (fma.f64 (*.f64 ky (*.f64 ky (sin.f64 th))) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (pow (sin kx) 4))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 4))) (* 1/120 (/ (sin th) (pow (sin kx) 4))))))) (/ (sin th) (pow (sin kx) 4)))) |
(*.f64 ky (fma.f64 (/.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (*.f64 (*.f64 ky ky) (*.f64 ky ky)) (/.f64 (*.f64 (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 9 binary64)) (pow.f64 (sin.f64 kx) #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 9 binary64)) (pow.f64 (sin.f64 kx) #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 9 binary64)) (pow.f64 (sin.f64 kx) #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 9 binary64)) (pow.f64 (sin.f64 kx) #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 10 binary64)) (pow.f64 (sin.f64 ky) #s(literal 10 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 10 binary64)) (pow.f64 (sin.f64 ky) #s(literal 10 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 10 binary64)) (pow.f64 (sin.f64 ky) #s(literal 10 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 10 binary64)) (pow.f64 (sin.f64 ky) #s(literal 10 binary64)))))) |
(/ (sin th) (pow (sin ky) 3)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(/ (sin th) (pow (sin ky) 3)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(+ (* -1/2 (/ (* (pow kx 8) (sin th)) (pow (sin ky) 11))) (/ (sin th) (pow (sin ky) 3))) |
(fma.f64 (sin.f64 th) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 kx #s(literal 8 binary64))) (pow.f64 (sin.f64 ky) #s(literal 11 binary64))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) |
(+ (* (pow kx 8) (+ (* -1/2 (/ (sin th) (pow (sin ky) 11))) (* 2/3 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 11))))) (/ (sin th) (pow (sin ky) 3))) |
(fma.f64 (pow.f64 kx #s(literal 8 binary64)) (/.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal 2/3 binary64) (*.f64 kx kx) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 11 binary64))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8))))) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8))))))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 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) 8) (pow (sin ky) 8))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))))))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))) (fma.f64 (*.f64 th th) (*.f64 (sin.f64 ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) (sin.f64 ky)))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))))))))) |
(*.f64 th (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))) (*.f64 (*.f64 th th) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 th th) #s(literal 1/120 binary64)))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 9 binary64)) (pow.f64 (sin.f64 kx) #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 9 binary64)) (pow.f64 (sin.f64 kx) #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 9 binary64)) (pow.f64 (sin.f64 kx) #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 9 binary64)) (pow.f64 (sin.f64 kx) #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 10 binary64)) (pow.f64 (sin.f64 ky) #s(literal 10 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 10 binary64)) (pow.f64 (sin.f64 ky) #s(literal 10 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 10 binary64)) (pow.f64 (sin.f64 ky) #s(literal 10 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 10 binary64)) (pow.f64 (sin.f64 ky) #s(literal 10 binary64)))))) |
(* ky (sqrt (/ 1 (pow (sin kx) 5)))) |
(*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))))) |
(* ky (+ (sqrt (/ 1 (pow (sin kx) 5))) (* -1/6 (* (pow ky 2) (sqrt (/ 1 (pow (sin kx) 5))))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky)) |
(* ky (+ (sqrt (/ 1 (pow (sin kx) 5))) (* (pow ky 2) (+ (* -1/6 (sqrt (/ 1 (pow (sin kx) 5)))) (* 1/120 (* (pow ky 2) (sqrt (/ 1 (pow (sin kx) 5))))))))) |
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(* ky (+ (sqrt (/ 1 (pow (sin kx) 5))) (* (pow ky 2) (+ (* -1/6 (sqrt (/ 1 (pow (sin kx) 5)))) (* (pow ky 2) (+ (* -1/2 (* ky (sqrt (/ 1 (pow (sin kx) 15))))) (* 1/120 (sqrt (/ 1 (pow (sin kx) 5)))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (*.f64 (*.f64 ky #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 15 binary64)))) (*.f64 ky ky))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(*.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) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(*.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) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(*.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) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(*.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) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))) |
(sqrt (/ 1 (pow (sin ky) 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) |
(+ (sqrt (/ 1 (pow (sin ky) 3))) (* -1/2 (* (pow kx 5) (sqrt (/ 1 (pow (sin ky) 13)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 13 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 kx #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) |
(+ (sqrt (/ 1 (pow (sin ky) 3))) (* (pow kx 5) (+ (* -1/2 (sqrt (/ 1 (pow (sin ky) 13)))) (* 5/12 (* (pow kx 2) (sqrt (/ 1 (pow (sin ky) 13)))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 13 binary64)))) (*.f64 (pow.f64 kx #s(literal 5 binary64)) (fma.f64 (*.f64 kx kx) #s(literal 5/12 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) |
(+ (sqrt (/ 1 (pow (sin ky) 3))) (* (pow kx 5) (+ (* -1/2 (sqrt (/ 1 (pow (sin ky) 13)))) (* (pow kx 2) (+ (* -23/144 (* (pow kx 2) (sqrt (/ 1 (pow (sin ky) 13))))) (* 5/12 (sqrt (/ 1 (pow (sin ky) 13))))))))) |
(fma.f64 (pow.f64 kx #s(literal 5 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 13 binary64)))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -23/144 binary64) #s(literal 5/12 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 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 (*.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 (*.f64 ky (*.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) |
(pow (sin ky) 3) |
(pow.f64 (sin.f64 ky) #s(literal 3 binary64)) |
(+ (pow kx 3) (pow (sin ky) 3)) |
(fma.f64 kx (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(+ (* (pow kx 3) (+ 1 (* -1/2 (pow kx 2)))) (pow (sin ky) 3)) |
(fma.f64 (*.f64 kx (*.f64 kx kx)) (fma.f64 kx (*.f64 kx #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(+ (* (pow kx 3) (+ 1 (* (pow kx 2) (- (* 13/120 (pow kx 2)) 1/2)))) (pow (sin ky) 3)) |
(fma.f64 (*.f64 kx (*.f64 kx kx)) (fma.f64 kx (*.f64 kx (fma.f64 (*.f64 kx kx) #s(literal 13/120 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) |
(pow (sin kx) 3) |
(pow.f64 (sin.f64 kx) #s(literal 3 binary64)) |
(+ (pow ky 3) (pow (sin kx) 3)) |
(fma.f64 ky (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) |
(+ (* (pow ky 3) (+ 1 (* -1/2 (pow ky 2)))) (pow (sin kx) 3)) |
(fma.f64 (*.f64 ky (*.f64 ky ky)) (fma.f64 ky (*.f64 ky #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) |
(+ (* (pow ky 3) (+ 1 (* (pow ky 2) (- (* 13/120 (pow ky 2)) 1/2)))) (pow (sin kx) 3)) |
(fma.f64 (*.f64 ky (*.f64 ky ky)) (fma.f64 (*.f64 ky ky) (fma.f64 ky (*.f64 ky #s(literal 13/120 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) |
(+ (pow (sin kx) 3) (pow (sin ky) 3)) |
(+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) |
(pow ky 2) |
(*.f64 ky ky) |
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) |
(*.f64 ky (fma.f64 ky (*.f64 ky (*.f64 ky #s(literal -1/3 binary64))) ky)) |
(* (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 ky (*.f64 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) 4) |
(pow.f64 (sin.f64 ky) #s(literal 4 binary64)) |
(pow (sin ky) 4) |
(pow.f64 (sin.f64 ky) #s(literal 4 binary64)) |
(pow (sin ky) 4) |
(pow.f64 (sin.f64 ky) #s(literal 4 binary64)) |
(pow (sin ky) 4) |
(pow.f64 (sin.f64 ky) #s(literal 4 binary64)) |
(pow (sin ky) 4) |
(pow.f64 (sin.f64 ky) #s(literal 4 binary64)) |
(pow (sin ky) 4) |
(pow.f64 (sin.f64 ky) #s(literal 4 binary64)) |
(pow (sin ky) 4) |
(pow.f64 (sin.f64 ky) #s(literal 4 binary64)) |
(pow (sin ky) 4) |
(pow.f64 (sin.f64 ky) #s(literal 4 binary64)) |
Compiled 17 108 to 2 061 computations (88% saved)
28 alts after pruning (28 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 525 | 28 | 553 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 526 | 28 | 554 |
| Status | Accuracy | Program |
|---|---|---|
| 78.3% | (/.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))))))) | |
| 16.2% | (/.f64 (*.f64 ky (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) | |
| ▶ | 10.7% | (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
| 63.7% | (*.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)) | |
| 78.2% | (*.f64 (/.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))) (sin.f64 th)) | |
| 78.4% | (*.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)) | |
| 69.7% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (sin.f64 kx))) (sin.f64 th)) | |
| 76.9% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)) (sin.f64 ky))) (sin.f64 th)) | |
| ▶ | 99.7% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
| 78.3% | (*.f64 (/.f64 (sin.f64 ky) (/.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))))))))) (sin.f64 th)) | |
| 80.6% | (*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.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 12 binary64)) (pow.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) (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))))))) #s(literal 3 binary64))))) (sqrt.f64 (fma.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) (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 (*.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 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))) (sin.f64 th)) | |
| 65.6% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) (sqrt.f64 (sin.f64 kx)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)) | |
| ▶ | 78.5% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
| 6.3% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sin.f64 th)) | |
| 13.3% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (sin.f64 th)) | |
| 78.3% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (sin.f64 th)) | |
| 78.4% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 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 ky ky)))))) (sin.f64 th)) | |
| 45.2% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) | |
| 61.5% | (*.f64 (/.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| 15.0% | (*.f64 (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (*.f64 (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 th))) | |
| ▶ | 78.5% | (*.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)) |
| 78.3% | (*.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)) | |
| 8.7% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky)) (sin.f64 th)) | |
| 78.2% | (*.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)))))))) | |
| ▶ | 8.5% | (*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
| 8.8% | (*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))))) (sin.f64 th)) | |
| 5.7% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sin.f64 th)) | |
| 78.3% | (*.f64 (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))))))) (sin.f64 th))) |
Compiled 1 432 to 928 computations (35.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 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)) |
| ✓ | 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 | 704 | (/.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))) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) |
| ✓ | cost-diff | 384 | (fma.f64 (-.f64 #s(literal 1 binary64) (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 kx kx))))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
| ✓ | cost-diff | 0 | (sin.f64 ky) |
| ✓ | cost-diff | 0 | (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (sin.f64 th) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
| ✓ | 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)) |
| 7 728× | lower-fma.f32 |
| 7 720× | lower-fma.f64 |
| 3 474× | lower-*.f32 |
| 3 456× | lower-*.f64 |
| 2 560× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 435 |
| 0 | 91 | 431 |
| 1 | 152 | 431 |
| 2 | 303 | 422 |
| 3 | 798 | 402 |
| 4 | 2083 | 402 |
| 5 | 3753 | 402 |
| 6 | 4769 | 402 |
| 7 | 5398 | 402 |
| 8 | 5673 | 402 |
| 9 | 5758 | 402 |
| 10 | 5787 | 402 |
| 11 | 6774 | 402 |
| 12 | 7170 | 402 |
| 13 | 7303 | 402 |
| 14 | 7303 | 402 |
| 15 | 7425 | 402 |
| 16 | 7469 | 402 |
| 17 | 7475 | 402 |
| 18 | 7475 | 402 |
| 0 | 8165 | 389 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(sin.f64 ky) |
ky |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin.f64 kx) |
kx |
(sin.f64 th) |
th |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(sin.f64 th) |
th |
(pow.f64 (sin.f64 ky) #s(literal 3 binary64)) |
(sin.f64 ky) |
ky |
#s(literal 3 binary64) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
ky |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (sin.f64 kx) #s(literal 5 binary64)) |
(sin.f64 kx) |
kx |
#s(literal 5 binary64) |
(fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 ky ky) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(sin.f64 th) |
th |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) |
(sin.f64 ky) |
ky |
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (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 kx kx))))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 ky ky)) |
(+.f64 ky ky) |
#s(literal 1/2 binary64) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))) |
#s(literal -1/2 binary64) |
(cos.f64 (+.f64 kx kx)) |
(+.f64 kx kx) |
kx |
(sin.f64 th) |
th |
(*.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 #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))) |
#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)) |
(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))) |
(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 |
| 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 |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(sin.f64 th) |
th |
(pow.f64 (sin.f64 ky) #s(literal 3 binary64)) |
(sin.f64 ky) |
ky |
#s(literal 3 binary64) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (*.f64 (sin.f64 th) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) ky)) |
ky |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (sin.f64 kx) #s(literal 5 binary64)) |
(sin.f64 kx) |
kx |
#s(literal 5 binary64) |
(fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 ky ky) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(sin.f64 th) |
th |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)))) |
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) |
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)))) |
(sin.f64 ky) |
ky |
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))))) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (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 kx kx))))) |
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 ky ky)) |
(+.f64 ky ky) |
#s(literal 1/2 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)) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))) |
#s(literal -1/2 binary64) |
(cos.f64 (+.f64 kx kx)) |
(+.f64 kx kx) |
kx |
(sin.f64 th) |
th |
(*.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 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)))) |
(/.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 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)))) |
#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 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) (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)))))) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #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 ky ky)) (cos.f64 (+.f64 kx kx))) #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 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) |
(*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(cos.f64 (+.f64 ky ky)) |
(+.f64 ky ky) |
ky |
(sin.f64 ky) |
(sin.f64 th) |
th |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 26.7% | (+.f64 ky ky) |
| ✓ | accuracy | 26.2% | (*.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)) |
| ✓ | accuracy | 25.9% | (cos.f64 (+.f64 kx kx)) |
| ✓ | accuracy | 25.4% | (/.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)) |
| ✓ | accuracy | 26.5% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
| ✓ | accuracy | 26.2% | (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) |
| ✓ | accuracy | 26.0% | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) |
| ✓ | accuracy | 25.9% | (cos.f64 (+.f64 kx kx)) |
| ✓ | accuracy | 26.4% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
| ✓ | accuracy | 26.1% | (pow.f64 (sin.f64 kx) #s(literal 5 binary64)) |
| ✓ | accuracy | 25.4% | (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
| ✓ | accuracy | 24.8% | (*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
| ✓ | accuracy | 100.0% | (sin.f64 th) |
| ✓ | accuracy | 58.8% | (sin.f64 ky) |
| ✓ | accuracy | 27.1% | (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) |
| ✓ | accuracy | 26.6% | (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
| ✓ | accuracy | 53.4% | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
| ✓ | accuracy | 53.4% | (sin.f64 kx) |
| ✓ | accuracy | 35.4% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
| ✓ | accuracy | 25.7% | (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| 113.0ms | 79× | 2 | valid |
| 97.0ms | 75× | 1 | valid |
| 29.0ms | 58× | 0 | invalid |
| 24.0ms | 44× | 0 | valid |
Compiled 915 to 100 computations (89.1% saved)
ival-cos: 56.0ms (27% of total)ival-mult: 36.0ms (17.4% of total)ival-sin: 25.0ms (12.1% of total)adjust: 20.0ms (9.7% of total)ival-div: 16.0ms (7.7% of total)ival-add: 15.0ms (7.2% of total)const: 9.0ms (4.3% of total)ival-sqrt: 9.0ms (4.3% of total)ival-pow: 9.0ms (4.3% of total)ival-hypot: 6.0ms (2.9% of total)ival-sub: 4.0ms (1.9% 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 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))> |
#<alt (sin.f64 th)> |
#<alt (pow.f64 (sin.f64 ky) #s(literal 3 binary64))> |
#<alt (*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th))> |
#<alt (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))))> |
#<alt (fma.f64 (-.f64 #s(literal 1 binary64) (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 kx kx)))))> |
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))> |
#<alt (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))> |
#<alt (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))))))> |
#<alt (/.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)))> |
#<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 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))> |
#<alt (*.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))> |
#<alt (sin.f64 kx)> |
#<alt (pow.f64 (sin.f64 kx) #s(literal 5 binary64))> |
#<alt (cos.f64 (+.f64 kx kx))> |
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))> |
#<alt (/.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))> |
#<alt (+.f64 ky ky)> |
| Outputs |
|---|
#<alt (/ (* ky (sin th)) (pow (sin kx) 4))> |
#<alt (* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 4))) (/ (sin th) (pow (sin kx) 4))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (pow (sin kx) 4))) (* 1/120 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 4))))) (/ (sin th) (pow (sin kx) 4))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (pow (sin kx) 4))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 4))) (* 1/120 (/ (sin th) (pow (sin kx) 4))))))) (/ (sin th) (pow (sin kx) 4))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10)))))> |
#<alt (/ (sin th) (pow (sin ky) 3))> |
#<alt (/ (sin th) (pow (sin ky) 3))> |
#<alt (+ (* -1/2 (/ (* (pow kx 8) (sin th)) (pow (sin ky) 11))) (/ (sin th) (pow (sin ky) 3)))> |
#<alt (+ (* (pow kx 8) (+ (* -1/2 (/ (sin th) (pow (sin ky) 11))) (* 2/3 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 11))))) (/ (sin th) (pow (sin ky) 3)))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7)))))> |
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8))))))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10)))))> |
#<alt (* ky (sqrt (/ 1 (pow (sin kx) 5))))> |
#<alt (* ky (+ (sqrt (/ 1 (pow (sin kx) 5))) (* -1/6 (* (pow ky 2) (sqrt (/ 1 (pow (sin kx) 5)))))))> |
#<alt (* ky (+ (sqrt (/ 1 (pow (sin kx) 5))) (* (pow ky 2) (+ (* -1/6 (sqrt (/ 1 (pow (sin kx) 5)))) (* 1/120 (* (pow ky 2) (sqrt (/ 1 (pow (sin kx) 5)))))))))> |
#<alt (* ky (+ (sqrt (/ 1 (pow (sin kx) 5))) (* (pow ky 2) (+ (* -1/6 (sqrt (/ 1 (pow (sin kx) 5)))) (* (pow ky 2) (+ (* -1/2 (* ky (sqrt (/ 1 (pow (sin kx) 15))))) (* 1/120 (sqrt (/ 1 (pow (sin kx) 5))))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7)))))> |
#<alt (sqrt (/ 1 (pow (sin ky) 3)))> |
#<alt (+ (sqrt (/ 1 (pow (sin ky) 3))) (* -1/2 (* (pow kx 5) (sqrt (/ 1 (pow (sin ky) 13))))))> |
#<alt (+ (sqrt (/ 1 (pow (sin ky) 3))) (* (pow kx 5) (+ (* -1/2 (sqrt (/ 1 (pow (sin ky) 13)))) (* 5/12 (* (pow kx 2) (sqrt (/ 1 (pow (sin ky) 13))))))))> |
#<alt (+ (sqrt (/ 1 (pow (sin ky) 3))) (* (pow kx 5) (+ (* -1/2 (sqrt (/ 1 (pow (sin ky) 13)))) (* (pow kx 2) (+ (* -23/144 (* (pow kx 2) (sqrt (/ 1 (pow (sin ky) 13))))) (* 5/12 (sqrt (/ 1 (pow (sin ky) 13)))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4)))))> |
#<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 (sqrt (pow (sin kx) 3))> |
#<alt (+ (sqrt (pow (sin kx) 3)) (* 1/2 (* (pow ky 3) (sqrt (/ 1 (pow (sin kx) 3))))))> |
#<alt (+ (sqrt (pow (sin kx) 3)) (* (pow ky 3) (+ (* -1/4 (* (pow ky 2) (sqrt (/ 1 (pow (sin kx) 3))))) (* 1/2 (sqrt (/ 1 (pow (sin kx) 3)))))))> |
#<alt (+ (sqrt (pow (sin kx) 3)) (* (pow ky 3) (+ (* 1/2 (sqrt (/ 1 (pow (sin kx) 3)))) (* (pow ky 2) (+ (* -1/4 (sqrt (/ 1 (pow (sin kx) 3)))) (* -1/8 (* ky (sqrt (/ 1 (pow (sin kx) 9))))))))))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (pow (sin ky) 3))> |
#<alt (+ (sqrt (pow (sin ky) 3)) (* 1/2 (* (pow kx 3) (sqrt (/ 1 (pow (sin ky) 3))))))> |
#<alt (+ (sqrt (pow (sin ky) 3)) (* (pow kx 3) (+ (* -1/4 (* (pow kx 2) (sqrt (/ 1 (pow (sin ky) 3))))) (* 1/2 (sqrt (/ 1 (pow (sin ky) 3)))))))> |
#<alt (+ (sqrt (pow (sin ky) 3)) (* (pow kx 3) (+ (* 1/2 (sqrt (/ 1 (pow (sin ky) 3)))) (* (pow kx 2) (+ (* -1/4 (sqrt (/ 1 (pow (sin ky) 3)))) (* -1/8 (* kx (sqrt (/ 1 (pow (sin ky) 9))))))))))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3)))> |
#<alt (/ th (pow (sin ky) 4))> |
#<alt (* th (+ (* -1/6 (/ (pow th 2) (pow (sin ky) 4))) (/ 1 (pow (sin ky) 4))))> |
#<alt (* th (+ (* (pow th 2) (- (* 1/120 (/ (pow th 2) (pow (sin ky) 4))) (* 1/6 (/ 1 (pow (sin ky) 4))))) (/ 1 (pow (sin ky) 4))))> |
#<alt (* th (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/5040 (/ (pow th 2) (pow (sin ky) 4))) (* 1/120 (/ 1 (pow (sin ky) 4))))) (* 1/6 (/ 1 (pow (sin ky) 4))))) (/ 1 (pow (sin ky) 4))))> |
#<alt (/ (sin th) (pow (sin ky) 6))> |
#<alt (/ (sin th) (pow (sin ky) 6))> |
#<alt (/ (sin th) (pow (sin ky) 6))> |
#<alt (/ (sin th) (pow (sin ky) 6))> |
#<alt (/ (sin th) (pow (sin ky) 6))> |
#<alt (/ (sin th) (pow (sin ky) 6))> |
#<alt (/ (sin th) (pow (sin ky) 6))> |
#<alt (/ (sin th) (pow (sin ky) 6))> |
#<alt (/ (sin th) (pow ky 4))> |
#<alt (/ (+ (sin th) (* 2/3 (* (pow ky 2) (sin th)))) (pow ky 4))> |
#<alt (/ (+ (sin th) (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -4/9 (sin th)) (* 1/5 (sin th))))) (* -2/3 (sin th))))) (pow ky 4))> |
#<alt (/ (+ (sin th) (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -34/945 (sin th)) (+ (* 2/15 (sin th)) (* 2/3 (+ (* -4/9 (sin th)) (* 1/5 (sin th)))))))) (+ (* -4/9 (sin th)) (* 1/5 (sin th))))) (* -2/3 (sin th))))) (pow ky 4))> |
#<alt (/ (sin th) (pow (sin ky) 6))> |
#<alt (/ (sin th) (pow (sin ky) 6))> |
#<alt (/ (sin th) (pow (sin ky) 6))> |
#<alt (/ (sin th) (pow (sin ky) 6))> |
#<alt (/ (sin th) (pow (sin ky) 6))> |
#<alt (/ (sin th) (pow (sin ky) 6))> |
#<alt (/ (sin th) (pow (sin ky) 6))> |
#<alt (/ (sin th) (pow (sin ky) 6))> |
#<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 (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) 4)> |
#<alt (pow (sin ky) 4)> |
#<alt (pow (sin ky) 4)> |
#<alt (pow (sin ky) 4)> |
#<alt (pow (sin ky) 4)> |
#<alt (pow (sin ky) 4)> |
#<alt (pow (sin ky) 4)> |
#<alt (pow (sin ky) 4)> |
#<alt (/ (* ky (sin th)) (pow (sin kx) 8))> |
#<alt (* ky (+ (* -1/6 (/ (* (pow ky 5) (sin th)) (pow (sin kx) 8))) (/ (sin th) (pow (sin kx) 8))))> |
#<alt (* ky (+ (* (pow ky 5) (+ (* -1/6 (/ (sin th) (pow (sin kx) 8))) (* 1/120 (/ (* (pow ky 5) (sin th)) (pow (sin kx) 8))))) (/ (sin th) (pow (sin kx) 8))))> |
#<alt (* ky (+ (* (pow ky 5) (+ (* -1/6 (/ (sin th) (pow (sin kx) 8))) (* 1/120 (/ (* (pow ky 5) (sin th)) (pow (sin kx) 8))))) (/ (sin th) (pow (sin kx) 8))))> |
#<alt (* -1/6 (* (* (pow ky 12) (sin th)) (sqrt (/ 1 (pow (sin kx) 19)))))> |
#<alt (* (pow ky 12) (+ (* -1/6 (* (sqrt (/ 1 (pow (sin kx) 19))) (sin th))) (* 1/120 (* (/ (sin th) (pow ky 5)) (sqrt (/ 1 (pow (sin kx) 19)))))))> |
#<alt (* (pow ky 12) (+ (* -1/6 (* (sqrt (/ 1 (pow (sin kx) 19))) (sin th))) (+ (* 1/120 (* (/ (sin th) (pow ky 5)) (sqrt (/ 1 (pow (sin kx) 19))))) (* (/ (sin th) (pow ky 11)) (sqrt (/ 1 (pow (sin kx) 19)))))))> |
#<alt (* (pow ky 12) (+ (* -1/6 (* (sqrt (/ 1 (pow (sin kx) 19))) (sin th))) (+ (* 1/120 (* (/ (sin th) (pow ky 5)) (sqrt (/ 1 (pow (sin kx) 19))))) (* (/ (sin th) (pow ky 11)) (sqrt (/ 1 (pow (sin kx) 19)))))))> |
#<alt (* -1/6 (/ (* (pow ky 13) (sin th)) (pow (sin kx) 10)))> |
#<alt (* -1 (* (pow ky 13) (+ (* 1/120 (/ (sin th) (* (pow ky 5) (pow (sin kx) 10)))) (* 1/6 (/ (sin th) (pow (sin kx) 10))))))> |
#<alt (* -1 (* (pow ky 13) (+ (* 1/120 (/ (sin th) (* (pow ky 5) (pow (sin kx) 10)))) (* 1/6 (/ (sin th) (pow (sin kx) 10))))))> |
#<alt (* -1 (* (pow ky 13) (+ (* -1 (/ (+ (* -1/120 (/ (sin th) (pow (sin kx) 10))) (/ (sin th) (* (pow ky 7) (pow (sin kx) 10)))) (pow ky 5))) (* 1/6 (/ (sin th) (pow (sin kx) 10))))))> |
#<alt (/ (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow kx 8))> |
#<alt (/ (+ (* 4/3 (* (pow kx 2) (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))))) (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6)))))) (pow kx 8))> |
#<alt (/ (+ (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (* (pow kx 2) (+ (* 14/15 (* (pow kx 2) (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))))) (* 4/3 (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))))))) (pow kx 8))> |
#<alt (/ (+ (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (* (pow kx 2) (+ (* 4/3 (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6)))))) (* (pow kx 2) (+ (* 16/35 (* (pow kx 2) (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))))) (* 14/15 (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))))))))) (pow kx 8))> |
#<alt (* (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (sqrt (/ 1 (pow (sin kx) 17))))> |
#<alt (* (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (sqrt (/ 1 (pow (sin kx) 17))))> |
#<alt (* (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (sqrt (/ 1 (pow (sin kx) 17))))> |
#<alt (* (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (sqrt (/ 1 (pow (sin kx) 17))))> |
#<alt (/ (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow (sin kx) 9))> |
#<alt (/ (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow (sin kx) 9))> |
#<alt (/ (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow (sin kx) 9))> |
#<alt (/ (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow (sin kx) 9))> |
#<alt (/ (* ky (* th (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow (sin kx) 8))> |
#<alt (* th (+ (* -1/6 (/ (* ky (* (pow th 2) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow (sin kx) 8))) (/ (* ky (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6)))) (pow (sin kx) 8))))> |
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (* ky (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6)))) (pow (sin kx) 8))) (* 1/120 (/ (* ky (* (pow th 2) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow (sin kx) 8))))) (/ (* ky (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6)))) (pow (sin kx) 8))))> |
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (* ky (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6)))) (pow (sin kx) 8))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (* (pow th 2) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow (sin kx) 8))) (* 1/120 (/ (* ky (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6)))) (pow (sin kx) 8))))))) (/ (* ky (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6)))) (pow (sin kx) 8))))> |
#<alt (* (* ky (* (sin th) (+ 1 (* (pow ky 6) (- (* 1/120 (pow ky 6)) 1/6))))) (sqrt (/ 1 (pow (sin kx) 17))))> |
#<alt (* (* ky (* (sin th) (+ 1 (* (pow ky 6) (- (* 1/120 (pow ky 6)) 1/6))))) (sqrt (/ 1 (pow (sin kx) 17))))> |
#<alt (* (* ky (* (sin th) (+ 1 (* (pow ky 6) (- (* 1/120 (pow ky 6)) 1/6))))) (sqrt (/ 1 (pow (sin kx) 17))))> |
#<alt (* (* ky (* (sin th) (+ 1 (* (pow ky 6) (- (* 1/120 (pow ky 6)) 1/6))))) (sqrt (/ 1 (pow (sin kx) 17))))> |
#<alt (/ (* ky (* (sin th) (+ 1 (* (pow ky 7) (- (* 1/120 (pow ky 7)) 1/6))))) (pow (sin kx) 9))> |
#<alt (/ (* ky (* (sin th) (+ 1 (* (pow ky 7) (- (* 1/120 (pow ky 7)) 1/6))))) (pow (sin kx) 9))> |
#<alt (/ (* ky (* (sin th) (+ 1 (* (pow ky 7) (- (* 1/120 (pow ky 7)) 1/6))))) (pow (sin kx) 9))> |
#<alt (/ (* ky (* (sin th) (+ 1 (* (pow ky 7) (- (* 1/120 (pow ky 7)) 1/6))))) (pow (sin kx) 9))> |
#<alt (* ky (sqrt (/ 1 (pow (sin kx) 13))))> |
#<alt (* ky (+ (sqrt (/ 1 (pow (sin kx) 13))) (* -1/6 (* (pow ky 3) (sqrt (/ 1 (pow (sin kx) 13)))))))> |
#<alt (* ky (+ (sqrt (/ 1 (pow (sin kx) 13))) (* (pow ky 3) (+ (* -1/6 (sqrt (/ 1 (pow (sin kx) 13)))) (* 1/120 (* (pow ky 3) (sqrt (/ 1 (pow (sin kx) 13)))))))))> |
#<alt (* ky (+ (sqrt (/ 1 (pow (sin kx) 13))) (* (pow ky 3) (+ (* -1/6 (sqrt (/ 1 (pow (sin kx) 13)))) (* 1/120 (* (pow ky 3) (sqrt (/ 1 (pow (sin kx) 13)))))))))> |
#<alt (* -1/6 (/ (pow ky 10) (pow (sin kx) 8)))> |
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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))))))) (* (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 (* (* (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 (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 (* (* (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))))))))))))))))> |
#<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 (* 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 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 (pow (sin kx) 4)> |
#<alt (pow (sin kx) 4)> |
#<alt (pow (sin kx) 4)> |
#<alt (pow (sin kx) 4)> |
#<alt (pow (sin kx) 4)> |
#<alt (pow (sin kx) 4)> |
#<alt (pow (sin kx) 4)> |
#<alt (pow (sin kx) 4)> |
#<alt 1> |
#<alt (+ 1 (* -2 (pow kx 2)))> |
#<alt (+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2)))> |
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2)))> |
#<alt (cos (* 2 kx))> |
#<alt (cos (* 2 kx))> |
#<alt (cos (* 2 kx))> |
#<alt (cos (* 2 kx))> |
#<alt (cos (neg (* -2 kx)))> |
#<alt (cos (neg (* -2 kx)))> |
#<alt (cos (neg (* -2 kx)))> |
#<alt (cos (neg (* -2 kx)))> |
#<alt (* 2 (pow ky 2))> |
#<alt (* (pow ky 2) (+ 2 (* -2/3 (pow ky 2))))> |
#<alt (* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3))))> |
#<alt (* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3))))> |
#<alt (- 1 (cos (* 2 ky)))> |
#<alt (- 1 (cos (* 2 ky)))> |
#<alt (- 1 (cos (* 2 ky)))> |
#<alt (- 1 (cos (* 2 ky)))> |
#<alt (- 1 (cos (neg (* -2 ky))))> |
#<alt (- 1 (cos (neg (* -2 ky))))> |
#<alt (- 1 (cos (neg (* -2 ky))))> |
#<alt (- 1 (cos (neg (* -2 ky))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))> |
#<alt (+ (* 1/2 (* (/ (pow kx 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* (/ 1 (sin ky)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))> |
#<alt (+ (* (/ 1 (sin 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)))))))) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/2 (* (/ 1 (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))> |
#<alt (+ (* (/ 1 (sin ky)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* 1/2 (* (/ 1 (sin ky)) (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))))))) (sin 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)))))))) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))> |
#<alt (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* 2 kx)))))> |
#<alt (/ (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/6 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))) ky)> |
#<alt (/ (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/6 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* 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))))))) (+ (* 7/360 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/12 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))))) ky)> |
#<alt (/ (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/6 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* 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))))))) (+ (* 7/360 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* 1/12 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/12 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 31/15120 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* 7/720 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ (- 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))))))))))))))))))) ky)> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
129 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | kx | @ | inf | (* (sqrt (/ 1 (pow (sin kx) 5))) (+ (* ky (* ky (+ (* (* ky ky) 1/120) -1/6))) 1)) |
| 7.0ms | kx | @ | 0 | (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) |
| 7.0ms | ky | @ | -inf | (/ (sin th) (pow (sin ky) 3)) |
| 6.0ms | ky | @ | inf | (* (/ 1 (/ (sqrt (+ (* (- 1 (cos (+ kx kx))) 1/2) (+ 1/2 (* -1/2 (cos (+ ky ky)))))) (sin ky))) (sin th)) |
| 6.0ms | kx | @ | inf | (* (* ky (* (sqrt (/ 1 (pow (sin kx) 5))) (+ (* ky (* ky (+ (* (* ky ky) 1/120) -1/6))) 1))) (sin th)) |
Compiled 2 572 to 1 939 computations (24.6% saved)
| 1× | batch-egg-rewrite |
| 1 014× | lower-*.f32 |
| 998× | lower-*.f64 |
| 926× | lower-fma.f32 |
| 920× | lower-fma.f64 |
| 732× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 287 |
| 0 | 91 | 275 |
| 1 | 360 | 235 |
| 0 | 2962 | 235 |
| 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)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(sin.f64 th) |
(pow.f64 (sin.f64 ky) #s(literal 3 binary64)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (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 kx kx))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) |
(/.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))) |
(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 #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)) |
(sin.f64 kx) |
(pow.f64 (sin.f64 kx) #s(literal 5 binary64)) |
(cos.f64 (+.f64 kx kx)) |
(-.f64 #s(literal 1 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)))))) (sin.f64 ky)) |
(+.f64 ky ky) |
| Outputs |
|---|
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #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 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (sin.f64 th))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) |
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) |
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #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 (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 ky)) #s(literal 1 binary64))) |
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(fma.f64 (cos.f64 kx) (cos.f64 kx) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) |
(fma.f64 (cos.f64 kx) (cos.f64 kx) (*.f64 (neg.f64 (sin.f64 kx)) (sin.f64 kx))) |
(fma.f64 (cos.f64 kx) (cos.f64 kx) (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 ky))) |
(fma.f64 (cos.f64 ky) (cos.f64 ky) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) |
(fma.f64 (cos.f64 ky) (cos.f64 ky) (*.f64 (neg.f64 (sin.f64 kx)) (sin.f64 kx))) |
(fma.f64 (cos.f64 ky) (cos.f64 ky) (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 ky))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (cos.f64 #s(literal 0 binary64))) |
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) |
(*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1 binary64)) |
(*.f64 (+.f64 (cos.f64 kx) (sin.f64 kx)) (-.f64 (cos.f64 kx) (sin.f64 kx))) |
(*.f64 (+.f64 (cos.f64 ky) (sin.f64 ky)) (-.f64 (cos.f64 ky) (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 #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 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))))) |
(neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 binary64) (/.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 ky)) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 binary64) (sin.f64 ky))) |
(/.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 ky)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))) |
(/.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 ky))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (neg.f64 (sin.f64 ky))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 binary64) (neg.f64 (sin.f64 ky)))) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 (sin.f64 ky)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (sin.f64 ky)) |
(pow.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 binary64) (sin.f64 ky))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 ky)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 binary64) (neg.f64 (sin.f64 ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) |
(+.f64 ky ky) |
(+.f64 kx kx) |
(-.f64 (/.f64 (*.f64 kx kx) #s(literal 0 binary64)) (/.f64 (*.f64 kx kx) #s(literal 0 binary64))) |
(-.f64 (/.f64 (*.f64 ky ky) #s(literal 0 binary64)) (/.f64 (*.f64 ky ky) #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 ky ky)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 kx kx #s(literal 0 binary64)) (*.f64 (fma.f64 kx kx #s(literal 0 binary64)) (+.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 ky ky #s(literal 0 binary64)) (*.f64 (fma.f64 ky ky #s(literal 0 binary64)) (+.f64 ky ky)))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (*.f64 (fma.f64 ky ky #s(literal 0 binary64)) (+.f64 ky ky)) (fma.f64 ky ky #s(literal 0 binary64))) |
(/.f64 (*.f64 (fma.f64 kx kx #s(literal 0 binary64)) (+.f64 ky ky)) (fma.f64 kx kx #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 kx kx #s(literal 0 binary64)) (+.f64 ky ky))) (neg.f64 (fma.f64 kx kx #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 ky ky #s(literal 0 binary64)) (+.f64 ky ky))) (neg.f64 (fma.f64 ky ky #s(literal 0 binary64)))) |
(*.f64 ky #s(literal 2 binary64)) |
(*.f64 kx #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) ky) |
(*.f64 #s(literal 2 binary64) kx) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) |
(*.f64 (*.f64 (fma.f64 ky ky #s(literal 0 binary64)) (+.f64 ky ky)) (/.f64 #s(literal 1 binary64) (fma.f64 ky ky #s(literal 0 binary64)))) |
(*.f64 (*.f64 (fma.f64 kx kx #s(literal 0 binary64)) (+.f64 ky ky)) (/.f64 #s(literal 1 binary64) (fma.f64 kx kx #s(literal 0 binary64)))) |
| 1× | egg-herbie |
| 9 006× | lower-fma.f64 |
| 9 006× | lower-fma.f32 |
| 7 464× | lower-+.f64 |
| 7 464× | lower-+.f32 |
| 7 064× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1296 | 13298 |
| 1 | 3966 | 12677 |
| 0 | 8264 | 11810 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* ky (sin th)) (pow (sin kx) 4)) |
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 4))) (/ (sin th) (pow (sin kx) 4)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (pow (sin kx) 4))) (* 1/120 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 4))))) (/ (sin th) (pow (sin kx) 4)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (pow (sin kx) 4))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 4))) (* 1/120 (/ (sin th) (pow (sin kx) 4))))))) (/ (sin th) (pow (sin kx) 4)))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(/ (sin th) (pow (sin ky) 3)) |
(/ (sin th) (pow (sin ky) 3)) |
(+ (* -1/2 (/ (* (pow kx 8) (sin th)) (pow (sin ky) 11))) (/ (sin th) (pow (sin ky) 3))) |
(+ (* (pow kx 8) (+ (* -1/2 (/ (sin th) (pow (sin ky) 11))) (* 2/3 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 11))))) (/ (sin th) (pow (sin ky) 3))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(* ky (sqrt (/ 1 (pow (sin kx) 5)))) |
(* ky (+ (sqrt (/ 1 (pow (sin kx) 5))) (* -1/6 (* (pow ky 2) (sqrt (/ 1 (pow (sin kx) 5))))))) |
(* ky (+ (sqrt (/ 1 (pow (sin kx) 5))) (* (pow ky 2) (+ (* -1/6 (sqrt (/ 1 (pow (sin kx) 5)))) (* 1/120 (* (pow ky 2) (sqrt (/ 1 (pow (sin kx) 5))))))))) |
(* ky (+ (sqrt (/ 1 (pow (sin kx) 5))) (* (pow ky 2) (+ (* -1/6 (sqrt (/ 1 (pow (sin kx) 5)))) (* (pow ky 2) (+ (* -1/2 (* ky (sqrt (/ 1 (pow (sin kx) 15))))) (* 1/120 (sqrt (/ 1 (pow (sin kx) 5)))))))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(sqrt (/ 1 (pow (sin ky) 3))) |
(+ (sqrt (/ 1 (pow (sin ky) 3))) (* -1/2 (* (pow kx 5) (sqrt (/ 1 (pow (sin ky) 13)))))) |
(+ (sqrt (/ 1 (pow (sin ky) 3))) (* (pow kx 5) (+ (* -1/2 (sqrt (/ 1 (pow (sin ky) 13)))) (* 5/12 (* (pow kx 2) (sqrt (/ 1 (pow (sin ky) 13)))))))) |
(+ (sqrt (/ 1 (pow (sin ky) 3))) (* (pow kx 5) (+ (* -1/2 (sqrt (/ 1 (pow (sin ky) 13)))) (* (pow kx 2) (+ (* -23/144 (* (pow kx 2) (sqrt (/ 1 (pow (sin ky) 13))))) (* 5/12 (sqrt (/ 1 (pow (sin ky) 13))))))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
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) |
(sqrt (pow (sin kx) 3)) |
(+ (sqrt (pow (sin kx) 3)) (* 1/2 (* (pow ky 3) (sqrt (/ 1 (pow (sin kx) 3)))))) |
(+ (sqrt (pow (sin kx) 3)) (* (pow ky 3) (+ (* -1/4 (* (pow ky 2) (sqrt (/ 1 (pow (sin kx) 3))))) (* 1/2 (sqrt (/ 1 (pow (sin kx) 3))))))) |
(+ (sqrt (pow (sin kx) 3)) (* (pow ky 3) (+ (* 1/2 (sqrt (/ 1 (pow (sin kx) 3)))) (* (pow ky 2) (+ (* -1/4 (sqrt (/ 1 (pow (sin kx) 3)))) (* -1/8 (* ky (sqrt (/ 1 (pow (sin kx) 9)))))))))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (pow (sin ky) 3)) |
(+ (sqrt (pow (sin ky) 3)) (* 1/2 (* (pow kx 3) (sqrt (/ 1 (pow (sin ky) 3)))))) |
(+ (sqrt (pow (sin ky) 3)) (* (pow kx 3) (+ (* -1/4 (* (pow kx 2) (sqrt (/ 1 (pow (sin ky) 3))))) (* 1/2 (sqrt (/ 1 (pow (sin ky) 3))))))) |
(+ (sqrt (pow (sin ky) 3)) (* (pow kx 3) (+ (* 1/2 (sqrt (/ 1 (pow (sin ky) 3)))) (* (pow kx 2) (+ (* -1/4 (sqrt (/ 1 (pow (sin ky) 3)))) (* -1/8 (* kx (sqrt (/ 1 (pow (sin ky) 9)))))))))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(/ th (pow (sin ky) 4)) |
(* th (+ (* -1/6 (/ (pow th 2) (pow (sin ky) 4))) (/ 1 (pow (sin ky) 4)))) |
(* th (+ (* (pow th 2) (- (* 1/120 (/ (pow th 2) (pow (sin ky) 4))) (* 1/6 (/ 1 (pow (sin ky) 4))))) (/ 1 (pow (sin ky) 4)))) |
(* th (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/5040 (/ (pow th 2) (pow (sin ky) 4))) (* 1/120 (/ 1 (pow (sin ky) 4))))) (* 1/6 (/ 1 (pow (sin ky) 4))))) (/ 1 (pow (sin ky) 4)))) |
(/ (sin th) (pow (sin ky) 6)) |
(/ (sin th) (pow (sin ky) 6)) |
(/ (sin th) (pow (sin ky) 6)) |
(/ (sin th) (pow (sin ky) 6)) |
(/ (sin th) (pow (sin ky) 6)) |
(/ (sin th) (pow (sin ky) 6)) |
(/ (sin th) (pow (sin ky) 6)) |
(/ (sin th) (pow (sin ky) 6)) |
(/ (sin th) (pow ky 4)) |
(/ (+ (sin th) (* 2/3 (* (pow ky 2) (sin th)))) (pow ky 4)) |
(/ (+ (sin th) (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -4/9 (sin th)) (* 1/5 (sin th))))) (* -2/3 (sin th))))) (pow ky 4)) |
(/ (+ (sin th) (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -34/945 (sin th)) (+ (* 2/15 (sin th)) (* 2/3 (+ (* -4/9 (sin th)) (* 1/5 (sin th)))))))) (+ (* -4/9 (sin th)) (* 1/5 (sin th))))) (* -2/3 (sin th))))) (pow ky 4)) |
(/ (sin th) (pow (sin ky) 6)) |
(/ (sin th) (pow (sin ky) 6)) |
(/ (sin th) (pow (sin ky) 6)) |
(/ (sin th) (pow (sin ky) 6)) |
(/ (sin th) (pow (sin ky) 6)) |
(/ (sin th) (pow (sin ky) 6)) |
(/ (sin th) (pow (sin ky) 6)) |
(/ (sin th) (pow (sin ky) 6)) |
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) |
(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) 4) |
(pow (sin ky) 4) |
(pow (sin ky) 4) |
(pow (sin ky) 4) |
(pow (sin ky) 4) |
(pow (sin ky) 4) |
(pow (sin ky) 4) |
(pow (sin ky) 4) |
(/ (* ky (sin th)) (pow (sin kx) 8)) |
(* ky (+ (* -1/6 (/ (* (pow ky 5) (sin th)) (pow (sin kx) 8))) (/ (sin th) (pow (sin kx) 8)))) |
(* ky (+ (* (pow ky 5) (+ (* -1/6 (/ (sin th) (pow (sin kx) 8))) (* 1/120 (/ (* (pow ky 5) (sin th)) (pow (sin kx) 8))))) (/ (sin th) (pow (sin kx) 8)))) |
(* ky (+ (* (pow ky 5) (+ (* -1/6 (/ (sin th) (pow (sin kx) 8))) (* 1/120 (/ (* (pow ky 5) (sin th)) (pow (sin kx) 8))))) (/ (sin th) (pow (sin kx) 8)))) |
(* -1/6 (* (* (pow ky 12) (sin th)) (sqrt (/ 1 (pow (sin kx) 19))))) |
(* (pow ky 12) (+ (* -1/6 (* (sqrt (/ 1 (pow (sin kx) 19))) (sin th))) (* 1/120 (* (/ (sin th) (pow ky 5)) (sqrt (/ 1 (pow (sin kx) 19))))))) |
(* (pow ky 12) (+ (* -1/6 (* (sqrt (/ 1 (pow (sin kx) 19))) (sin th))) (+ (* 1/120 (* (/ (sin th) (pow ky 5)) (sqrt (/ 1 (pow (sin kx) 19))))) (* (/ (sin th) (pow ky 11)) (sqrt (/ 1 (pow (sin kx) 19))))))) |
(* (pow ky 12) (+ (* -1/6 (* (sqrt (/ 1 (pow (sin kx) 19))) (sin th))) (+ (* 1/120 (* (/ (sin th) (pow ky 5)) (sqrt (/ 1 (pow (sin kx) 19))))) (* (/ (sin th) (pow ky 11)) (sqrt (/ 1 (pow (sin kx) 19))))))) |
(* -1/6 (/ (* (pow ky 13) (sin th)) (pow (sin kx) 10))) |
(* -1 (* (pow ky 13) (+ (* 1/120 (/ (sin th) (* (pow ky 5) (pow (sin kx) 10)))) (* 1/6 (/ (sin th) (pow (sin kx) 10)))))) |
(* -1 (* (pow ky 13) (+ (* 1/120 (/ (sin th) (* (pow ky 5) (pow (sin kx) 10)))) (* 1/6 (/ (sin th) (pow (sin kx) 10)))))) |
(* -1 (* (pow ky 13) (+ (* -1 (/ (+ (* -1/120 (/ (sin th) (pow (sin kx) 10))) (/ (sin th) (* (pow ky 7) (pow (sin kx) 10)))) (pow ky 5))) (* 1/6 (/ (sin th) (pow (sin kx) 10)))))) |
(/ (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow kx 8)) |
(/ (+ (* 4/3 (* (pow kx 2) (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))))) (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6)))))) (pow kx 8)) |
(/ (+ (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (* (pow kx 2) (+ (* 14/15 (* (pow kx 2) (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))))) (* 4/3 (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))))))) (pow kx 8)) |
(/ (+ (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (* (pow kx 2) (+ (* 4/3 (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6)))))) (* (pow kx 2) (+ (* 16/35 (* (pow kx 2) (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))))) (* 14/15 (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))))))))) (pow kx 8)) |
(* (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (sqrt (/ 1 (pow (sin kx) 17)))) |
(* (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (sqrt (/ 1 (pow (sin kx) 17)))) |
(* (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (sqrt (/ 1 (pow (sin kx) 17)))) |
(* (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (sqrt (/ 1 (pow (sin kx) 17)))) |
(/ (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow (sin kx) 9)) |
(/ (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow (sin kx) 9)) |
(/ (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow (sin kx) 9)) |
(/ (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow (sin kx) 9)) |
(/ (* ky (* th (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow (sin kx) 8)) |
(* th (+ (* -1/6 (/ (* ky (* (pow th 2) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow (sin kx) 8))) (/ (* ky (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6)))) (pow (sin kx) 8)))) |
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* ky (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6)))) (pow (sin kx) 8))) (* 1/120 (/ (* ky (* (pow th 2) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow (sin kx) 8))))) (/ (* ky (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6)))) (pow (sin kx) 8)))) |
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* ky (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6)))) (pow (sin kx) 8))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (* (pow th 2) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow (sin kx) 8))) (* 1/120 (/ (* ky (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6)))) (pow (sin kx) 8))))))) (/ (* ky (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6)))) (pow (sin kx) 8)))) |
(* (* ky (* (sin th) (+ 1 (* (pow ky 6) (- (* 1/120 (pow ky 6)) 1/6))))) (sqrt (/ 1 (pow (sin kx) 17)))) |
(* (* ky (* (sin th) (+ 1 (* (pow ky 6) (- (* 1/120 (pow ky 6)) 1/6))))) (sqrt (/ 1 (pow (sin kx) 17)))) |
(* (* ky (* (sin th) (+ 1 (* (pow ky 6) (- (* 1/120 (pow ky 6)) 1/6))))) (sqrt (/ 1 (pow (sin kx) 17)))) |
(* (* ky (* (sin th) (+ 1 (* (pow ky 6) (- (* 1/120 (pow ky 6)) 1/6))))) (sqrt (/ 1 (pow (sin kx) 17)))) |
(/ (* ky (* (sin th) (+ 1 (* (pow ky 7) (- (* 1/120 (pow ky 7)) 1/6))))) (pow (sin kx) 9)) |
(/ (* ky (* (sin th) (+ 1 (* (pow ky 7) (- (* 1/120 (pow ky 7)) 1/6))))) (pow (sin kx) 9)) |
(/ (* ky (* (sin th) (+ 1 (* (pow ky 7) (- (* 1/120 (pow ky 7)) 1/6))))) (pow (sin kx) 9)) |
(/ (* ky (* (sin th) (+ 1 (* (pow ky 7) (- (* 1/120 (pow ky 7)) 1/6))))) (pow (sin kx) 9)) |
(* ky (sqrt (/ 1 (pow (sin kx) 13)))) |
(* ky (+ (sqrt (/ 1 (pow (sin kx) 13))) (* -1/6 (* (pow ky 3) (sqrt (/ 1 (pow (sin kx) 13))))))) |
(* ky (+ (sqrt (/ 1 (pow (sin kx) 13))) (* (pow ky 3) (+ (* -1/6 (sqrt (/ 1 (pow (sin kx) 13)))) (* 1/120 (* (pow ky 3) (sqrt (/ 1 (pow (sin kx) 13))))))))) |
(* ky (+ (sqrt (/ 1 (pow (sin kx) 13))) (* (pow ky 3) (+ (* -1/6 (sqrt (/ 1 (pow (sin kx) 13)))) (* 1/120 (* (pow ky 3) (sqrt (/ 1 (pow (sin kx) 13))))))))) |
(* -1/6 (/ (pow ky 10) (pow (sin kx) 8))) |
(* (pow ky 10) (- (* 1/120 (/ 1 (* (pow ky 5) (pow (sin kx) 8)))) (* 1/6 (/ 1 (pow (sin kx) 8))))) |
(* (pow ky 10) (- (+ (/ 1/120 (* (pow ky 5) (pow (sin kx) 8))) (/ 1 (* (pow ky 9) (pow (sin kx) 8)))) (* 1/6 (/ 1 (pow (sin kx) 8))))) |
(* (pow ky 10) (- (+ (/ 1/120 (* (pow ky 5) (pow (sin kx) 8))) (/ 1 (* (pow ky 9) (pow (sin kx) 8)))) (* 1/6 (/ 1 (pow (sin kx) 8))))) |
(* -1/6 (* (pow ky 11) (sqrt (/ 1 (pow (sin kx) 17))))) |
(* -1 (* (pow ky 11) (+ (* 1/120 (* (/ 1 (pow ky 5)) (sqrt (/ 1 (pow (sin kx) 17))))) (* 1/6 (sqrt (/ 1 (pow (sin kx) 17))))))) |
(* -1 (* (pow ky 11) (+ (* -1 (/ (+ (* -1/120 (sqrt (/ 1 (pow (sin kx) 17)))) (* (/ 1 (pow ky 5)) (sqrt (/ 1 (pow (sin kx) 17))))) (pow ky 5))) (* 1/6 (sqrt (/ 1 (pow (sin kx) 17))))))) |
(* -1 (* (pow ky 11) (+ (* -1 (/ (+ (* -1/120 (sqrt (/ 1 (pow (sin kx) 17)))) (* (/ 1 (pow ky 5)) (sqrt (/ 1 (pow (sin kx) 17))))) (pow ky 5))) (* 1/6 (sqrt (/ 1 (pow (sin kx) 17))))))) |
(* (sqrt (/ 1 (pow kx 13))) (* ky (+ 1 (* (pow ky 3) (- (* 1/120 (pow ky 3)) 1/6))))) |
(/ (+ (* 13/12 (* (sqrt (pow kx 5)) (* ky (+ 1 (* (pow ky 3) (- (* 1/120 (pow ky 3)) 1/6)))))) (* (sqrt kx) (* ky (+ 1 (* (pow ky 3) (- (* 1/120 (pow ky 3)) 1/6)))))) (pow kx 7)) |
(/ (+ (* (sqrt kx) (* ky (+ 1 (* (pow ky 3) (- (* 1/120 (pow ky 3)) 1/6))))) (* (pow kx 3) (+ (* 13/12 (* (sqrt (/ 1 kx)) (* ky (+ 1 (* (pow ky 3) (- (* 1/120 (pow ky 3)) 1/6)))))) (* 871/720 (* (sqrt (pow kx 3)) (* ky (+ 1 (* (pow ky 3) (- (* 1/120 (pow ky 3)) 1/6))))))))) (pow kx 7)) |
(/ (+ (* (sqrt kx) (* ky (+ 1 (* (pow ky 3) (- (* 1/120 (pow ky 3)) 1/6))))) (* (pow kx 3) (+ (* 13/12 (* (sqrt (/ 1 kx)) (* ky (+ 1 (* (pow ky 3) (- (* 1/120 (pow ky 3)) 1/6)))))) (* (pow kx 2) (+ (* -169/288 (* (sqrt (/ 1 kx)) (* ky (+ 1 (* (pow ky 3) (- (* 1/120 (pow ky 3)) 1/6)))))) (* 871/720 (* (sqrt (/ 1 kx)) (* ky (+ 1 (* (pow ky 3) (- (* 1/120 (pow ky 3)) 1/6))))))))))) (pow kx 7)) |
(/ (* ky (+ 1 (* (pow ky 3) (- (* 1/120 (pow ky 3)) 1/6)))) (pow (sin kx) 7)) |
(/ (* ky (+ 1 (* (pow ky 3) (- (* 1/120 (pow ky 3)) 1/6)))) (pow (sin kx) 7)) |
(/ (* ky (+ 1 (* (pow ky 3) (- (* 1/120 (pow ky 3)) 1/6)))) (pow (sin kx) 7)) |
(/ (* ky (+ 1 (* (pow ky 3) (- (* 1/120 (pow ky 3)) 1/6)))) (pow (sin kx) 7)) |
(* (* ky (+ 1 (* (pow ky 3) (- (* 1/120 (pow ky 3)) 1/6)))) (sqrt (/ 1 (pow (sin kx) 15)))) |
(* (* ky (+ 1 (* (pow ky 3) (- (* 1/120 (pow ky 3)) 1/6)))) (sqrt (/ 1 (pow (sin kx) 15)))) |
(* (* ky (+ 1 (* (pow ky 3) (- (* 1/120 (pow ky 3)) 1/6)))) (sqrt (/ 1 (pow (sin kx) 15)))) |
(* (* ky (+ 1 (* (pow ky 3) (- (* 1/120 (pow ky 3)) 1/6)))) (sqrt (/ 1 (pow (sin kx) 15)))) |
(/ (+ 1 (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6))) (pow kx 2)) |
(/ (+ 1 (+ (* 1/3 (* (pow kx 2) (+ 1 (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6))))) (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6)))) (pow kx 2)) |
(/ (+ 1 (+ (* (pow kx 2) (+ (* 1/15 (* (pow kx 2) (+ 1 (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6))))) (* 1/3 (+ 1 (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6)))))) (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6)))) (pow kx 2)) |
(/ (+ 1 (+ (* (pow kx 2) (+ (* 1/3 (+ 1 (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6)))) (* (pow kx 2) (+ (* 2/189 (* (pow kx 2) (+ 1 (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6))))) (* 1/15 (+ 1 (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6)))))))) (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6)))) (pow kx 2)) |
(* (sqrt (/ 1 (pow (sin kx) 5))) (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6)))) |
(* (sqrt (/ 1 (pow (sin kx) 5))) (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6)))) |
(* (sqrt (/ 1 (pow (sin kx) 5))) (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6)))) |
(* (sqrt (/ 1 (pow (sin kx) 5))) (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6)))) |
(/ (+ 1 (* (pow ky 10) (- (* 1/120 (pow ky 10)) 1/6))) (pow (sin kx) 3)) |
(/ (+ 1 (* (pow ky 10) (- (* 1/120 (pow ky 10)) 1/6))) (pow (sin kx) 3)) |
(/ (+ 1 (* (pow ky 10) (- (* 1/120 (pow ky 10)) 1/6))) (pow (sin kx) 3)) |
(/ (+ 1 (* (pow ky 10) (- (* 1/120 (pow ky 10)) 1/6))) (pow (sin kx) 3)) |
(/ 1 (pow (sin kx) 2)) |
(/ 1 (pow (sin kx) 2)) |
(+ (* -1/6 (/ (pow ky 8) (pow (sin kx) 2))) (/ 1 (pow (sin kx) 2))) |
(+ (* -1/6 (/ (pow ky 8) (pow (sin kx) 2))) (/ 1 (pow (sin kx) 2))) |
(* -1/6 (/ (pow ky 14) (pow (sin kx) 2))) |
(* (pow ky 14) (- (* 1/120 (/ 1 (* (pow ky 5) (pow (sin kx) 2)))) (* 1/6 (/ 1 (pow (sin kx) 2))))) |
(* (pow ky 14) (- (* 1/120 (/ 1 (* (pow ky 5) (pow (sin kx) 2)))) (* 1/6 (/ 1 (pow (sin kx) 2))))) |
(* (pow ky 14) (- (+ (/ 1/120 (* (pow ky 5) (pow (sin kx) 2))) (/ 1 (* (pow ky 14) (pow (sin kx) 2)))) (* 1/6 (/ 1 (pow (sin kx) 2))))) |
(* -1/6 (/ (pow ky 14) (pow (sin kx) 2))) |
(* -1 (* (pow ky 14) (+ (* 1/120 (/ 1 (* (pow ky 5) (pow (sin kx) 2)))) (* 1/6 (/ 1 (pow (sin kx) 2)))))) |
(* -1 (* (pow ky 14) (+ (* 1/120 (/ 1 (* (pow ky 5) (pow (sin kx) 2)))) (* 1/6 (/ 1 (pow (sin kx) 2)))))) |
(* (pow ky 14) (- (* -1 (/ (- (* 1/120 (/ 1 (pow (sin kx) 2))) (/ 1 (* (pow ky 9) (pow (sin kx) 2)))) (pow ky 5))) (* 1/6 (/ 1 (pow (sin kx) 2))))) |
(sqrt (/ 1 (pow kx 3))) |
(/ (+ (sqrt kx) (* 1/4 (sqrt (pow kx 5)))) (pow kx 2)) |
(/ (+ (sqrt kx) (* (pow kx 3) (+ (* 17/240 (sqrt (pow kx 3))) (* 1/4 (sqrt (/ 1 kx)))))) (pow kx 2)) |
(/ (+ (sqrt kx) (* (pow kx 3) (+ (* 1/4 (sqrt (/ 1 kx))) (* (pow kx 2) (+ (* -1/32 (sqrt (/ 1 kx))) (* 17/240 (sqrt (/ 1 kx)))))))) (pow kx 2)) |
(/ 1 (pow (sin kx) 2)) |
(/ 1 (pow (sin kx) 2)) |
(/ 1 (pow (sin kx) 2)) |
(/ 1 (pow (sin kx) 2)) |
(sqrt (/ 1 (pow (sin kx) 5))) |
(sqrt (/ 1 (pow (sin kx) 5))) |
(sqrt (/ 1 (pow (sin kx) 5))) |
(sqrt (/ 1 (pow (sin kx) 5))) |
(+ 1/2 (* -1/2 (cos (* 2 kx)))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))))) |
(+ 1/2 (+ (* -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 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))) |
(* 1/2 (- 1 (cos (* 2 ky)))) |
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 2)) |
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))) |
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(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))))) |
(* (* ky (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) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/6 (* (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) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))))) |
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/12 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/240 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/5040 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) |
(+ (* -2 (* (/ (* (pow kx 2) (* (sin ky) (sin th))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky))))))))) |
(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* ky (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) |
(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))) |
(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))))))))))) |
(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4))))))) (+ (* -1/12 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (+ (* -1/240 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* -1/5040 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) |
(+ (* -2 (* (/ (* (pow kx 2) (sin ky)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky))))))))) |
(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky))))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (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))))))))) |
(+ 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)))))) |
(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))))))))) |
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) 4) |
(pow (sin kx) 4) |
(pow (sin kx) 4) |
(pow (sin kx) 4) |
(pow (sin kx) 4) |
(pow (sin kx) 4) |
(pow (sin kx) 4) |
(pow (sin kx) 4) |
1 |
(+ 1 (* -2 (pow kx 2))) |
(+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))) |
(cos (* 2 kx)) |
(cos (* 2 kx)) |
(cos (* 2 kx)) |
(cos (* 2 kx)) |
(cos (neg (* -2 kx))) |
(cos (neg (* -2 kx))) |
(cos (neg (* -2 kx))) |
(cos (neg (* -2 kx))) |
(* 2 (pow ky 2)) |
(* (pow ky 2) (+ 2 (* -2/3 (pow ky 2)))) |
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3)))) |
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3)))) |
(- 1 (cos (* 2 ky))) |
(- 1 (cos (* 2 ky))) |
(- 1 (cos (* 2 ky))) |
(- 1 (cos (* 2 ky))) |
(- 1 (cos (neg (* -2 ky)))) |
(- 1 (cos (neg (* -2 ky)))) |
(- 1 (cos (neg (* -2 ky)))) |
(- 1 (cos (neg (* -2 ky)))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))) |
(+ (* 1/2 (* (/ (pow kx 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* (/ 1 (sin ky)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) |
(+ (* (/ 1 (sin 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)))))))) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/2 (* (/ 1 (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))) |
(+ (* (/ 1 (sin ky)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* 1/2 (* (/ 1 (sin ky)) (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))))))) (sin 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)))))))) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* 2 kx))))) |
(/ (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/6 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))) ky) |
(/ (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/6 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* 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))))))) (+ (* 7/360 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/12 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))))) ky) |
(/ (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/6 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* 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))))))) (+ (* 7/360 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* 1/12 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/12 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 31/15120 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* 7/720 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ (- 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))))))))))))))))))) ky) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
| Outputs |
|---|
(/ (* ky (sin th)) (pow (sin kx) 4)) |
(/.f64 (*.f64 ky (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) |
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 4))) (/ (sin th) (pow (sin kx) 4)))) |
(*.f64 ky (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (pow (sin kx) 4))) (* 1/120 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 4))))) (/ (sin th) (pow (sin kx) 4)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 ky ky) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) #s(literal 1/120 binary64))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (pow (sin kx) 4))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 4))) (* 1/120 (/ (sin th) (pow (sin kx) 4))))))) (/ (sin th) (pow (sin kx) 4)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 ky ky) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) #s(literal -1/5040 binary64) (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 9 binary64)) (pow.f64 (sin.f64 ky) #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 9 binary64)) (pow.f64 (sin.f64 ky) #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 9 binary64)) (pow.f64 (sin.f64 ky) #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 9 binary64)) (pow.f64 (sin.f64 ky) #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 10 binary64)) (pow.f64 (sin.f64 ky) #s(literal 10 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 10 binary64)) (pow.f64 (sin.f64 ky) #s(literal 10 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 10 binary64)) (pow.f64 (sin.f64 ky) #s(literal 10 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 10 binary64)) (pow.f64 (sin.f64 ky) #s(literal 10 binary64)))))) |
(/ (sin th) (pow (sin ky) 3)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(/ (sin th) (pow (sin ky) 3)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(+ (* -1/2 (/ (* (pow kx 8) (sin th)) (pow (sin ky) 11))) (/ (sin th) (pow (sin ky) 3))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 8 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 11 binary64)))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) |
(+ (* (pow kx 8) (+ (* -1/2 (/ (sin th) (pow (sin ky) 11))) (* 2/3 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 11))))) (/ (sin th) (pow (sin ky) 3))) |
(fma.f64 (pow.f64 kx #s(literal 8 binary64)) (fma.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 kx kx) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 11 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 11 binary64)))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8))))) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8))))))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 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) 8) (pow (sin ky) 8))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 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 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 8) (pow (sin ky) 8)))))))))))) |
(*.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 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 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 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 9 binary64)) (pow.f64 (sin.f64 ky) #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 9 binary64)) (pow.f64 (sin.f64 ky) #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 9 binary64)) (pow.f64 (sin.f64 ky) #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 9) (pow (sin ky) 9))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 9 binary64)) (pow.f64 (sin.f64 ky) #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 10 binary64)) (pow.f64 (sin.f64 ky) #s(literal 10 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 10 binary64)) (pow.f64 (sin.f64 ky) #s(literal 10 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 10 binary64)) (pow.f64 (sin.f64 ky) #s(literal 10 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 10) (pow (sin ky) 10))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 10 binary64)) (pow.f64 (sin.f64 ky) #s(literal 10 binary64)))))) |
(* ky (sqrt (/ 1 (pow (sin kx) 5)))) |
(*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))))) |
(* ky (+ (sqrt (/ 1 (pow (sin kx) 5))) (* -1/6 (* (pow ky 2) (sqrt (/ 1 (pow (sin kx) 5))))))) |
(*.f64 ky (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))))) |
(* ky (+ (sqrt (/ 1 (pow (sin kx) 5))) (* (pow ky 2) (+ (* -1/6 (sqrt (/ 1 (pow (sin kx) 5)))) (* 1/120 (* (pow ky 2) (sqrt (/ 1 (pow (sin kx) 5))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))))) |
(* ky (+ (sqrt (/ 1 (pow (sin kx) 5))) (* (pow ky 2) (+ (* -1/6 (sqrt (/ 1 (pow (sin kx) 5)))) (* (pow ky 2) (+ (* -1/2 (* ky (sqrt (/ 1 (pow (sin kx) 15))))) (* 1/120 (sqrt (/ 1 (pow (sin kx) 5)))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 #s(literal -1/2 binary64) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 15 binary64)))) (*.f64 #s(literal 1/120 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(*.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) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(*.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) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(*.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) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6))))) |
(*.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) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 7) (pow (sin ky) 7))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))) |
(sqrt (/ 1 (pow (sin ky) 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) |
(+ (sqrt (/ 1 (pow (sin ky) 3))) (* -1/2 (* (pow kx 5) (sqrt (/ 1 (pow (sin ky) 13)))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 kx #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 13 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) |
(+ (sqrt (/ 1 (pow (sin ky) 3))) (* (pow kx 5) (+ (* -1/2 (sqrt (/ 1 (pow (sin ky) 13)))) (* 5/12 (* (pow kx 2) (sqrt (/ 1 (pow (sin ky) 13)))))))) |
(fma.f64 (pow.f64 kx #s(literal 5 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 13 binary64)))) (fma.f64 #s(literal 5/12 binary64) (*.f64 kx kx) #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) |
(+ (sqrt (/ 1 (pow (sin ky) 3))) (* (pow kx 5) (+ (* -1/2 (sqrt (/ 1 (pow (sin ky) 13)))) (* (pow kx 2) (+ (* -23/144 (* (pow kx 2) (sqrt (/ 1 (pow (sin ky) 13))))) (* 5/12 (sqrt (/ 1 (pow (sin ky) 13))))))))) |
(fma.f64 (pow.f64 kx #s(literal 5 binary64)) (fma.f64 (*.f64 kx kx) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 13 binary64)))) (fma.f64 #s(literal -23/144 binary64) (*.f64 kx kx) #s(literal 5/12 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 13 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 4) (pow (sin ky) 4))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) |
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 (*.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) |
(sqrt (pow (sin kx) 3)) |
(sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) |
(+ (sqrt (pow (sin kx) 3)) (* 1/2 (* (pow ky 3) (sqrt (/ 1 (pow (sin kx) 3)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(+ (sqrt (pow (sin kx) 3)) (* (pow ky 3) (+ (* -1/4 (* (pow ky 2) (sqrt (/ 1 (pow (sin kx) 3))))) (* 1/2 (sqrt (/ 1 (pow (sin kx) 3))))))) |
(fma.f64 (*.f64 ky (*.f64 ky ky)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 ky ky) #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(+ (sqrt (pow (sin kx) 3)) (* (pow ky 3) (+ (* 1/2 (sqrt (/ 1 (pow (sin kx) 3)))) (* (pow ky 2) (+ (* -1/4 (sqrt (/ 1 (pow (sin kx) 3)))) (* -1/8 (* ky (sqrt (/ 1 (pow (sin kx) 9)))))))))) |
(fma.f64 (*.f64 ky (*.f64 ky ky)) (fma.f64 (*.f64 ky ky) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 9 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (pow (sin ky) 3)) |
(sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(+ (sqrt (pow (sin ky) 3)) (* 1/2 (* (pow kx 3) (sqrt (/ 1 (pow (sin ky) 3)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) |
(+ (sqrt (pow (sin ky) 3)) (* (pow kx 3) (+ (* -1/4 (* (pow kx 2) (sqrt (/ 1 (pow (sin ky) 3))))) (* 1/2 (sqrt (/ 1 (pow (sin ky) 3))))))) |
(fma.f64 (*.f64 kx (*.f64 kx kx)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 kx kx) #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) |
(+ (sqrt (pow (sin ky) 3)) (* (pow kx 3) (+ (* 1/2 (sqrt (/ 1 (pow (sin ky) 3)))) (* (pow kx 2) (+ (* -1/4 (sqrt (/ 1 (pow (sin ky) 3)))) (* -1/8 (* kx (sqrt (/ 1 (pow (sin ky) 9)))))))))) |
(fma.f64 (*.f64 kx (*.f64 kx kx)) (fma.f64 (*.f64 kx kx) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) kx) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 9 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin kx) 3) (pow (sin ky) 3))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(/ th (pow (sin ky) 4)) |
(/.f64 th (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(* th (+ (* -1/6 (/ (pow th 2) (pow (sin ky) 4))) (/ 1 (pow (sin ky) 4)))) |
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 th th) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) |
(* th (+ (* (pow th 2) (- (* 1/120 (/ (pow th 2) (pow (sin ky) 4))) (* 1/6 (/ 1 (pow (sin ky) 4))))) (/ 1 (pow (sin ky) 4)))) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 th th) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) |
(* th (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/5040 (/ (pow th 2) (pow (sin ky) 4))) (* 1/120 (/ 1 (pow (sin ky) 4))))) (* 1/6 (/ 1 (pow (sin ky) 4))))) (/ 1 (pow (sin ky) 4)))) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 1/120 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) |
(/ (sin th) (pow (sin ky) 6)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) |
(/ (sin th) (pow (sin ky) 6)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) |
(/ (sin th) (pow (sin ky) 6)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) |
(/ (sin th) (pow (sin ky) 6)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) |
(/ (sin th) (pow (sin ky) 6)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) |
(/ (sin th) (pow (sin ky) 6)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) |
(/ (sin th) (pow (sin ky) 6)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) |
(/ (sin th) (pow (sin ky) 6)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) |
(/ (sin th) (pow ky 4)) |
(/.f64 (sin.f64 th) (pow.f64 ky #s(literal 4 binary64))) |
(/ (+ (sin th) (* 2/3 (* (pow ky 2) (sin th)))) (pow ky 4)) |
(/.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 ky ky) #s(literal 1 binary64)) (sin.f64 th)) (pow.f64 ky #s(literal 4 binary64))) |
(/ (+ (sin th) (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -4/9 (sin th)) (* 1/5 (sin th))))) (* -2/3 (sin th))))) (pow ky 4)) |
(/.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (*.f64 (sin.f64 th) #s(literal 11/45 binary64)) (*.f64 (sin.f64 th) #s(literal 2/3 binary64))) (sin.f64 th)) (pow.f64 ky #s(literal 4 binary64))) |
(/ (+ (sin th) (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -34/945 (sin th)) (+ (* 2/15 (sin th)) (* 2/3 (+ (* -4/9 (sin th)) (* 1/5 (sin th)))))))) (+ (* -4/9 (sin th)) (* 1/5 (sin th))))) (* -2/3 (sin th))))) (pow ky 4)) |
(/.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (fma.f64 (sin.f64 th) #s(literal 92/945 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 (sin.f64 th) #s(literal -11/45 binary64)))) (neg.f64 (*.f64 ky ky)) (*.f64 (sin.f64 th) #s(literal 11/45 binary64))) (*.f64 (sin.f64 th) #s(literal 2/3 binary64))) (sin.f64 th)) (pow.f64 ky #s(literal 4 binary64))) |
(/ (sin th) (pow (sin ky) 6)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) |
(/ (sin th) (pow (sin ky) 6)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) |
(/ (sin th) (pow (sin ky) 6)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) |
(/ (sin th) (pow (sin ky) 6)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) |
(/ (sin th) (pow (sin ky) 6)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) |
(/ (sin th) (pow (sin ky) 6)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) |
(/ (sin th) (pow (sin ky) 6)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) |
(/ (sin th) (pow (sin ky) 6)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) |
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 #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)))) |
(fma.f64 th (*.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))) 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) |
(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) 4) |
(pow.f64 (sin.f64 ky) #s(literal 4 binary64)) |
(pow (sin ky) 4) |
(pow.f64 (sin.f64 ky) #s(literal 4 binary64)) |
(pow (sin ky) 4) |
(pow.f64 (sin.f64 ky) #s(literal 4 binary64)) |
(pow (sin ky) 4) |
(pow.f64 (sin.f64 ky) #s(literal 4 binary64)) |
(pow (sin ky) 4) |
(pow.f64 (sin.f64 ky) #s(literal 4 binary64)) |
(pow (sin ky) 4) |
(pow.f64 (sin.f64 ky) #s(literal 4 binary64)) |
(pow (sin ky) 4) |
(pow.f64 (sin.f64 ky) #s(literal 4 binary64)) |
(pow (sin ky) 4) |
(pow.f64 (sin.f64 ky) #s(literal 4 binary64)) |
(/ (* ky (sin th)) (pow (sin kx) 8)) |
(/.f64 (*.f64 ky (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) |
(* ky (+ (* -1/6 (/ (* (pow ky 5) (sin th)) (pow (sin kx) 8))) (/ (sin th) (pow (sin kx) 8)))) |
(*.f64 ky (fma.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 ky #s(literal 5 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))) |
(* ky (+ (* (pow ky 5) (+ (* -1/6 (/ (sin th) (pow (sin kx) 8))) (* 1/120 (/ (* (pow ky 5) (sin th)) (pow (sin kx) 8))))) (/ (sin th) (pow (sin kx) 8)))) |
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 5 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 ky #s(literal 5 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))) |
(* ky (+ (* (pow ky 5) (+ (* -1/6 (/ (sin th) (pow (sin kx) 8))) (* 1/120 (/ (* (pow ky 5) (sin th)) (pow (sin kx) 8))))) (/ (sin th) (pow (sin kx) 8)))) |
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 5 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 ky #s(literal 5 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))) |
(* -1/6 (* (* (pow ky 12) (sin th)) (sqrt (/ 1 (pow (sin kx) 19))))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 th) (pow.f64 ky #s(literal 12 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 19 binary64)))))) |
(* (pow ky 12) (+ (* -1/6 (* (sqrt (/ 1 (pow (sin kx) 19))) (sin th))) (* 1/120 (* (/ (sin th) (pow ky 5)) (sqrt (/ 1 (pow (sin kx) 19))))))) |
(*.f64 (pow.f64 ky #s(literal 12 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 19 binary64))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 19 binary64)))) (/.f64 (sin.f64 th) (pow.f64 ky #s(literal 5 binary64))))))) |
(* (pow ky 12) (+ (* -1/6 (* (sqrt (/ 1 (pow (sin kx) 19))) (sin th))) (+ (* 1/120 (* (/ (sin th) (pow ky 5)) (sqrt (/ 1 (pow (sin kx) 19))))) (* (/ (sin th) (pow ky 11)) (sqrt (/ 1 (pow (sin kx) 19))))))) |
(*.f64 (pow.f64 ky #s(literal 12 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 19 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 19 binary64)))) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (pow.f64 ky #s(literal 5 binary64))) (/.f64 (sin.f64 th) (pow.f64 ky #s(literal 11 binary64))))))) |
(* (pow ky 12) (+ (* -1/6 (* (sqrt (/ 1 (pow (sin kx) 19))) (sin th))) (+ (* 1/120 (* (/ (sin th) (pow ky 5)) (sqrt (/ 1 (pow (sin kx) 19))))) (* (/ (sin th) (pow ky 11)) (sqrt (/ 1 (pow (sin kx) 19))))))) |
(*.f64 (pow.f64 ky #s(literal 12 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 19 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 19 binary64)))) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (pow.f64 ky #s(literal 5 binary64))) (/.f64 (sin.f64 th) (pow.f64 ky #s(literal 11 binary64))))))) |
(* -1/6 (/ (* (pow ky 13) (sin th)) (pow (sin kx) 10))) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 th) (pow.f64 ky #s(literal 13 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 10 binary64))) |
(* -1 (* (pow ky 13) (+ (* 1/120 (/ (sin th) (* (pow ky 5) (pow (sin kx) 10)))) (* 1/6 (/ (sin th) (pow (sin kx) 10)))))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 10 binary64)) (pow.f64 ky #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 10 binary64)))) (neg.f64 (pow.f64 ky #s(literal 13 binary64)))) |
(* -1 (* (pow ky 13) (+ (* 1/120 (/ (sin th) (* (pow ky 5) (pow (sin kx) 10)))) (* 1/6 (/ (sin th) (pow (sin kx) 10)))))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 10 binary64)) (pow.f64 ky #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 10 binary64)))) (neg.f64 (pow.f64 ky #s(literal 13 binary64)))) |
(* -1 (* (pow ky 13) (+ (* -1 (/ (+ (* -1/120 (/ (sin th) (pow (sin kx) 10))) (/ (sin th) (* (pow ky 7) (pow (sin kx) 10)))) (pow ky 5))) (* 1/6 (/ (sin th) (pow (sin kx) 10)))))) |
(neg.f64 (*.f64 (pow.f64 ky #s(literal 13 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 10 binary64))) (/.f64 (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 10 binary64))) #s(literal -1/120 binary64) (/.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 10 binary64)) (pow.f64 ky #s(literal 7 binary64))))) (pow.f64 ky #s(literal 5 binary64)))))) |
(/ (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow kx 8)) |
(/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (pow.f64 ky #s(literal 5 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 5 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (pow.f64 kx #s(literal 8 binary64))) |
(/ (+ (* 4/3 (* (pow kx 2) (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))))) (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6)))))) (pow kx 8)) |
(/.f64 (*.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (pow.f64 ky #s(literal 5 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 5 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (pow.f64 kx #s(literal 8 binary64))) |
(/ (+ (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (* (pow kx 2) (+ (* 14/15 (* (pow kx 2) (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))))) (* 4/3 (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))))))) (pow kx 8)) |
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(/ (+ (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (* (pow kx 2) (+ (* 4/3 (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6)))))) (* (pow kx 2) (+ (* 16/35 (* (pow kx 2) (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))))) (* 14/15 (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))))))))) (pow kx 8)) |
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(* (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (sqrt (/ 1 (pow (sin kx) 17)))) |
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(* (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (sqrt (/ 1 (pow (sin kx) 17)))) |
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(* (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (sqrt (/ 1 (pow (sin kx) 17)))) |
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(* (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (sqrt (/ 1 (pow (sin kx) 17)))) |
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(/ (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow (sin kx) 9)) |
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(/ (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow (sin kx) 9)) |
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(/ (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow (sin kx) 9)) |
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(/ (* ky (* (sin th) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow (sin kx) 9)) |
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(/ (* ky (* th (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow (sin kx) 8)) |
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(* th (+ (* -1/6 (/ (* ky (* (pow th 2) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow (sin kx) 8))) (/ (* ky (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6)))) (pow (sin kx) 8)))) |
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(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* ky (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6)))) (pow (sin kx) 8))) (* 1/120 (/ (* ky (* (pow th 2) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow (sin kx) 8))))) (/ (* ky (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6)))) (pow (sin kx) 8)))) |
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(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* ky (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6)))) (pow (sin kx) 8))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (* (pow th 2) (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6))))) (pow (sin kx) 8))) (* 1/120 (/ (* ky (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6)))) (pow (sin kx) 8))))))) (/ (* ky (+ 1 (* (pow ky 5) (- (* 1/120 (pow ky 5)) 1/6)))) (pow (sin kx) 8)))) |
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(* (* ky (* (sin th) (+ 1 (* (pow ky 6) (- (* 1/120 (pow ky 6)) 1/6))))) (sqrt (/ 1 (pow (sin kx) 17)))) |
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(* (* ky (* (sin th) (+ 1 (* (pow ky 6) (- (* 1/120 (pow ky 6)) 1/6))))) (sqrt (/ 1 (pow (sin kx) 17)))) |
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(* (* ky (* (sin th) (+ 1 (* (pow ky 6) (- (* 1/120 (pow ky 6)) 1/6))))) (sqrt (/ 1 (pow (sin kx) 17)))) |
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(* (* ky (* (sin th) (+ 1 (* (pow ky 6) (- (* 1/120 (pow ky 6)) 1/6))))) (sqrt (/ 1 (pow (sin kx) 17)))) |
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(/ (* ky (* (sin th) (+ 1 (* (pow ky 7) (- (* 1/120 (pow ky 7)) 1/6))))) (pow (sin kx) 9)) |
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(/ (* ky (* (sin th) (+ 1 (* (pow ky 7) (- (* 1/120 (pow ky 7)) 1/6))))) (pow (sin kx) 9)) |
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(/ (* ky (* (sin th) (+ 1 (* (pow ky 7) (- (* 1/120 (pow ky 7)) 1/6))))) (pow (sin kx) 9)) |
(/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (pow.f64 ky #s(literal 7 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 7 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (pow.f64 (sin.f64 kx) #s(literal 9 binary64))) |
(/ (* ky (* (sin th) (+ 1 (* (pow ky 7) (- (* 1/120 (pow ky 7)) 1/6))))) (pow (sin kx) 9)) |
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(* ky (sqrt (/ 1 (pow (sin kx) 13)))) |
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(* ky (+ (sqrt (/ 1 (pow (sin kx) 13))) (* -1/6 (* (pow ky 3) (sqrt (/ 1 (pow (sin kx) 13))))))) |
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(* ky (+ (sqrt (/ 1 (pow (sin kx) 13))) (* (pow ky 3) (+ (* -1/6 (sqrt (/ 1 (pow (sin kx) 13)))) (* 1/120 (* (pow ky 3) (sqrt (/ 1 (pow (sin kx) 13))))))))) |
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(* ky (+ (sqrt (/ 1 (pow (sin kx) 13))) (* (pow ky 3) (+ (* -1/6 (sqrt (/ 1 (pow (sin kx) 13)))) (* 1/120 (* (pow ky 3) (sqrt (/ 1 (pow (sin kx) 13))))))))) |
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(* -1/6 (/ (pow ky 10) (pow (sin kx) 8))) |
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(* (pow ky 10) (- (* 1/120 (/ 1 (* (pow ky 5) (pow (sin kx) 8)))) (* 1/6 (/ 1 (pow (sin kx) 8))))) |
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(* (pow ky 10) (- (+ (/ 1/120 (* (pow ky 5) (pow (sin kx) 8))) (/ 1 (* (pow ky 9) (pow (sin kx) 8)))) (* 1/6 (/ 1 (pow (sin kx) 8))))) |
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(* (pow ky 10) (- (+ (/ 1/120 (* (pow ky 5) (pow (sin kx) 8))) (/ 1 (* (pow ky 9) (pow (sin kx) 8)))) (* 1/6 (/ 1 (pow (sin kx) 8))))) |
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(* -1/6 (* (pow ky 11) (sqrt (/ 1 (pow (sin kx) 17))))) |
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(* -1 (* (pow ky 11) (+ (* 1/120 (* (/ 1 (pow ky 5)) (sqrt (/ 1 (pow (sin kx) 17))))) (* 1/6 (sqrt (/ 1 (pow (sin kx) 17))))))) |
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(* -1 (* (pow ky 11) (+ (* -1 (/ (+ (* -1/120 (sqrt (/ 1 (pow (sin kx) 17)))) (* (/ 1 (pow ky 5)) (sqrt (/ 1 (pow (sin kx) 17))))) (pow ky 5))) (* 1/6 (sqrt (/ 1 (pow (sin kx) 17))))))) |
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(* -1 (* (pow ky 11) (+ (* -1 (/ (+ (* -1/120 (sqrt (/ 1 (pow (sin kx) 17)))) (* (/ 1 (pow ky 5)) (sqrt (/ 1 (pow (sin kx) 17))))) (pow ky 5))) (* 1/6 (sqrt (/ 1 (pow (sin kx) 17))))))) |
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(* (sqrt (/ 1 (pow kx 13))) (* ky (+ 1 (* (pow ky 3) (- (* 1/120 (pow ky 3)) 1/6))))) |
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(/ (+ (* 13/12 (* (sqrt (pow kx 5)) (* ky (+ 1 (* (pow ky 3) (- (* 1/120 (pow ky 3)) 1/6)))))) (* (sqrt kx) (* ky (+ 1 (* (pow ky 3) (- (* 1/120 (pow ky 3)) 1/6)))))) (pow kx 7)) |
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(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 (cos (* 2 ky)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) |
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 2)) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (*.f64 kx kx)) |
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (*.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)))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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))) |
(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)) |
(* (* 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 (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))) |
(*.f64 ky (fma.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 #s(literal -1/2 binary64) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 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))))))) |
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 th) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #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 kx #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 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) #s(literal 1/12 binary64) (*.f64 (*.f64 #s(literal 1/120 binary64) (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))))))) (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 #s(literal -1/2 binary64) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 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))))))) |
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/12 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/240 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/5040 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 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))))) (fma.f64 (*.f64 ky ky) (fma.f64 (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) (*.f64 (sin.f64 th) (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 kx #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 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 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 2/45 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #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 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 4 binary64))))))) (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #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 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (fma.f64 (*.f64 #s(literal -1/240 binary64) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/5040 binary64) (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))))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 th) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #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 kx #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 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (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 #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 #s(literal -1/2 binary64) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 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))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(*.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 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 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(*.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 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 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(*.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 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 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(*.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 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 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) |
(*.f64 (*.f64 (sin.f64 ky) (*.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 ky #s(literal -2 binary64))))))) |
(+ (* -2 (* (/ (* (pow kx 2) (* (sin ky) (sin th))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(fma.f64 (sin.f64 ky) (*.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 ky #s(literal -2 binary64))))))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 kx kx)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))))) |
(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky))))))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 kx kx) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 ky) (*.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 ky #s(literal -2 binary64)))))))) |
(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky))))))))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (+.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 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (/.f64 #s(literal 8/45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #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 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (/.f64 #s(literal 8/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 ky) (*.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 ky #s(literal -2 binary64)))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 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 kx)))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 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 kx)))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 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 kx)))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 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 kx)))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 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 (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 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 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 (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))) |
(*.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 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 -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (sin.f64 ky)))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))))) |
(*.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 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 -1/6 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 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 (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))))))) |
(*.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 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 -1/5040 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 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))))))) (*.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 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 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 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 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) |
(*.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))))) |
(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 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)))))) |
(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))))))))))) |
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(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4))))))) (+ (* -1/12 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (+ (* -1/240 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* -1/5040 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(*.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 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) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(*.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 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) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(*.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 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) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(*.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 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) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(*.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 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) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(*.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 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) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(*.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 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) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(*.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 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) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) |
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(+ (* -2 (* (/ (* (pow kx 2) (sin ky)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 kx kx)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky))))))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 ky) (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky))))))))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (*.f64 kx kx)) (+.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 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (/.f64 #s(literal 8/45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #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 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (/.f64 #s(literal 8/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
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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)))))))) |
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(+ (* (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)))))))))) |
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(+ (* (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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(* (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))))))))) |
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(* (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))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
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(* (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)))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
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(* (* 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)))))))))))))) |
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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)))))) (* (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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(* (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)))))) |
(+ 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)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))) |
(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))) |
(* 1/2 (- 1 (cos (* 2 kx)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) |
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)) |
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.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)))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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 (sin.f64 ky) (*.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))))) (*.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)))))) |
(+ (* (* (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 #s(literal 1/2 binary64) (*.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))) (*.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))))))) (* (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)) (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 2/45 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 (/.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 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #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 #s(literal -2 binary64) (/.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 (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 (*.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 -4 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 (-.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)))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 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 #s(literal -2 binary64) (/.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 (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 -4 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 #s(literal -1/12 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 -4 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)))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 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 (*.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 -4 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 (-.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) (/.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)))))))) (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 #s(literal -2 binary64) (/.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 (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))))) (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))) (* 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 #s(literal -1/6 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)))))) (*.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 (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)))))) |
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 (*.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) 4) |
(pow.f64 (sin.f64 kx) #s(literal 4 binary64)) |
(pow (sin kx) 4) |
(pow.f64 (sin.f64 kx) #s(literal 4 binary64)) |
(pow (sin kx) 4) |
(pow.f64 (sin.f64 kx) #s(literal 4 binary64)) |
(pow (sin kx) 4) |
(pow.f64 (sin.f64 kx) #s(literal 4 binary64)) |
(pow (sin kx) 4) |
(pow.f64 (sin.f64 kx) #s(literal 4 binary64)) |
(pow (sin kx) 4) |
(pow.f64 (sin.f64 kx) #s(literal 4 binary64)) |
(pow (sin kx) 4) |
(pow.f64 (sin.f64 kx) #s(literal 4 binary64)) |
(pow (sin kx) 4) |
(pow.f64 (sin.f64 kx) #s(literal 4 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (pow kx 2))) |
(fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))) |
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/3 binary64) (*.f64 kx kx) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))) |
(fma.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)) #s(literal 1 binary64)) |
(cos (* 2 kx)) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(cos (* 2 kx)) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(cos (* 2 kx)) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(cos (* 2 kx)) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(cos (neg (* -2 kx))) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(cos (neg (* -2 kx))) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(cos (neg (* -2 kx))) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(cos (neg (* -2 kx))) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(* 2 (pow ky 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 ky ky)) |
(* (pow ky 2) (+ 2 (* -2/3 (pow ky 2)))) |
(*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -2/3 binary64) #s(literal 2 binary64))) |
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3)))) |
(*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64))) |
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3)))) |
(*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -2/315 binary64) #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))) |
(- 1 (cos (* 2 ky))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) |
(- 1 (cos (* 2 ky))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) |
(- 1 (cos (* 2 ky))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) |
(- 1 (cos (* 2 ky))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) |
(- 1 (cos (neg (* -2 ky)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) |
(- 1 (cos (neg (* -2 ky)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) |
(- 1 (cos (neg (* -2 ky)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) |
(- 1 (cos (neg (* -2 ky)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))) |
(/.f64 (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)) |
(+ (* 1/2 (* (/ (pow kx 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* (/ 1 (sin ky)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) |
(fma.f64 #s(literal 1/2 binary64) (*.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)))) (/.f64 (*.f64 kx kx) (sin.f64 ky))) (/.f64 (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 (sin 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)))))))) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/2 (* (/ 1 (sin ky)) (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 (*.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))))) (sin.f64 ky)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) (/.f64 (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 (sin ky)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* 1/2 (* (/ 1 (sin ky)) (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))))))) (sin 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)))))))) (sin 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 (*.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))))) (sin.f64 ky)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.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)))) (sin.f64 ky))))) (*.f64 #s(literal 1/2 binary64) (/.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)))) (/.f64 (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 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(/.f64 (sqrt.f64 (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.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(/.f64 (sqrt.f64 (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.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(/.f64 (sqrt.f64 (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.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(/.f64 (sqrt.f64 (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.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))) |
(/.f64 (sqrt.f64 (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.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))) |
(/.f64 (sqrt.f64 (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.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))) |
(/.f64 (sqrt.f64 (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.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))) |
(/.f64 (sqrt.f64 (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.f64 ky)) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* 2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(/ (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/6 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))) ky) |
(/.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.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) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -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)))) ky) |
(/ (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/6 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* 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))))))) (+ (* 7/360 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/12 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))))) ky) |
(/.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 7/360 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.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) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -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)))) ky) |
(/ (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/6 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* 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))))))) (+ (* 7/360 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* 1/12 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/12 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 31/15120 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* 7/720 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ (- 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))))))))))))))))))) ky) |
(/.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (*.f64 ky ky) (fma.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 #s(literal 2/45 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 7/720 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 31/15120 binary64) (*.f64 #s(literal -1/12 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 7/360 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.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) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -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)))) ky) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(/.f64 (sqrt.f64 (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.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(/.f64 (sqrt.f64 (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.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(/.f64 (sqrt.f64 (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.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(/.f64 (sqrt.f64 (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.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(/.f64 (sqrt.f64 (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.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(/.f64 (sqrt.f64 (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.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(/.f64 (sqrt.f64 (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.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(/.f64 (sqrt.f64 (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.f64 ky)) |
(* 2 ky) |
(*.f64 ky #s(literal 2 binary64)) |
(* 2 ky) |
(*.f64 ky #s(literal 2 binary64)) |
(* 2 ky) |
(*.f64 ky #s(literal 2 binary64)) |
(* 2 ky) |
(*.f64 ky #s(literal 2 binary64)) |
(* 2 ky) |
(*.f64 ky #s(literal 2 binary64)) |
(* 2 ky) |
(*.f64 ky #s(literal 2 binary64)) |
(* 2 ky) |
(*.f64 ky #s(literal 2 binary64)) |
(* 2 ky) |
(*.f64 ky #s(literal 2 binary64)) |
(* 2 ky) |
(*.f64 ky #s(literal 2 binary64)) |
(* 2 ky) |
(*.f64 ky #s(literal 2 binary64)) |
(* 2 ky) |
(*.f64 ky #s(literal 2 binary64)) |
(* 2 ky) |
(*.f64 ky #s(literal 2 binary64)) |
Compiled 31 728 to 3 281 computations (89.7% saved)
58 alts after pruning (57 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 088 | 49 | 1 137 |
| Fresh | 15 | 8 | 23 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 107 | 58 | 1 165 |
| Status | Accuracy | Program |
|---|---|---|
| 6.1% | (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) | |
| 10.5% | (/.f64 (/.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (sin.f64 ky)) | |
| 10.5% | (/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) | |
| 78.3% | (/.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))))))) | |
| 11.8% | (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) | |
| 5.8% | (/.f64 (*.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))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) | |
| 5.8% | (/.f64 (sin.f64 th) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) | |
| ✓ | 10.7% | (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
| 10.5% | (/.f64 (sin.f64 th) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (sin.f64 ky))) | |
| 3.8% | (/.f64 (sin.f64 th) (*.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)))) | |
| 3.6% | (/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) | |
| ▶ | 3.9% | (/.f64 (sin.f64 th) (*.f64 ky ky)) |
| 4.3% | (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) | |
| 10.7% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (sin.f64 th))) | |
| 10.7% | (*.f64 (pow.f64 (sin.f64 ky) #s(literal -3 binary64)) (sin.f64 th)) | |
| 28.5% | (*.f64 (/.f64 (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) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) | |
| 28.4% | (*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) | |
| 49.6% | (*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) | |
| 78.4% | (*.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)) | |
| 12.0% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (sin.f64 ky)) | |
| 69.7% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (sin.f64 kx))) (sin.f64 th)) | |
| ▶ | 59.3% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) |
| 50.2% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) | |
| 12.0% | (*.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)) | |
| 40.0% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) | |
| ▶ | 48.1% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (sin.f64 th)) |
| 65.2% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)))))) (sin.f64 th)) | |
| 35.6% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) | |
| 30.2% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 th)) | |
| 33.3% | (*.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)))) (sin.f64 th)) | |
| 78.3% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (sin.f64 th)) | |
| 32.6% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th)) | |
| 61.5% | (*.f64 (/.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| 29.8% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.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) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -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)))) ky)) (sin.f64 th)) | |
| ▶ | 78.5% | (*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) (sin.f64 th)) |
| 40.0% | (*.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))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) | |
| 35.6% | (*.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 ky ky))) (sin.f64 ky))) (sin.f64 th)) | |
| 47.8% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.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)) (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)) | |
| 32.6% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (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))) (sin.f64 th)) | |
| 33.3% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky))) (sin.f64 th)) | |
| ▶ | 28.6% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
| 28.5% | (*.f64 (*.f64 (*.f64 ky (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 th)) | |
| 78.3% | (*.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)) | |
| 32.5% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) | |
| 32.3% | (*.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))))) | |
| 32.2% | (*.f64 (*.f64 (sin.f64 ky) (*.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 ky #s(literal -2 binary64))))))) | |
| 32.5% | (*.f64 (*.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.f64 th)) | |
| 40.1% | (*.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 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)))))) | |
| 5.3% | (*.f64 (*.f64 ky (*.f64 (/.f64 (fma.f64 (*.f64 kx (*.f64 kx kx)) (fma.f64 (sqrt.f64 (*.f64 kx (*.f64 kx kx))) #s(literal 17/240 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) #s(literal 1/4 binary64))) (sqrt.f64 kx)) (*.f64 kx kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) | |
| 18.5% | (*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) | |
| 13.8% | (*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) | |
| 21.0% | (*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) | |
| 28.5% | (*.f64 (*.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.f64 th)) | |
| 28.5% | (*.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))))) | |
| 5.7% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sin.f64 th)) | |
| 28.4% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) | |
| 10.7% | (*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) | |
| 78.3% | (*.f64 (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))))))) (sin.f64 th))) |
Compiled 2 592 to 1 824 computations (29.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx)) |
| ✓ | cost-diff | 0 | (sin.f64 ky) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) |
| ✓ | cost-diff | 0 | (sin.f64 ky) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (sin.f64 th)) |
| ✓ | cost-diff | 128 | (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
| ✓ | cost-diff | 128 | (cos.f64 (*.f64 kx #s(literal -2 binary64))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) |
| ✓ | cost-diff | 0 | (*.f64 ky ky) |
| ✓ | cost-diff | 0 | (sin.f64 th) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 th) (*.f64 ky ky)) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 (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)) |
| ✓ | cost-diff | 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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) (sin.f64 th)) |
| ✓ | cost-diff | 384 | (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))) |
| ✓ | cost-diff | 704 | (/.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
| 13 228× | lower-fma.f32 |
| 13 220× | lower-fma.f64 |
| 4 224× | lower-*.f32 |
| 4 206× | lower-*.f64 |
| 2 110× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 369 |
| 0 | 85 | 369 |
| 1 | 138 | 365 |
| 2 | 256 | 359 |
| 3 | 626 | 347 |
| 4 | 1350 | 347 |
| 5 | 2002 | 347 |
| 6 | 2778 | 347 |
| 7 | 3775 | 347 |
| 8 | 4195 | 347 |
| 9 | 4600 | 347 |
| 10 | 7245 | 347 |
| 0 | 8476 | 334 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) (sin.f64 th)) |
(/.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) (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 (sqrt.f64 (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)) |
(sqrt.f64 (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)))) |
(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))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) |
(cos.f64 (+.f64 kx kx)) |
(+.f64 kx kx) |
kx |
#s(literal 1/2 binary64) |
(fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(cos.f64 (+.f64 ky ky)) |
(+.f64 ky ky) |
ky |
#s(literal -1/2 binary64) |
(sin.f64 ky) |
(sin.f64 th) |
th |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(sin.f64 th) |
th |
(*.f64 ky ky) |
ky |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(sqrt.f64 (-.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)))) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(*.f64 kx #s(literal -2 binary64)) |
kx |
#s(literal -2 binary64) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
ky |
(sin.f64 th) |
th |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) |
(sin.f64 ky) |
ky |
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)) |
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 ky ky)) |
(+.f64 ky ky) |
#s(literal 1/2 binary64) |
(*.f64 kx kx) |
kx |
(sin.f64 th) |
th |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) |
(sin.f64 ky) |
ky |
(hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx)) |
(fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx) |
kx |
(*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) |
#s(literal -1/6 binary64) |
(*.f64 kx kx) |
(sin.f64 th) |
th |
| Outputs |
|---|
(*.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) (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 (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) (/.f64 (sqrt.f64 (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))) |
(/.f64 (sin.f64 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)))) |
#s(literal 1 binary64) |
(/.f64 (sqrt.f64 (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)) |
(/.f64 (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 ky)) |
(sqrt.f64 (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)))) |
(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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(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) |
(fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(cos.f64 (+.f64 ky ky)) |
(+.f64 ky ky) |
ky |
#s(literal -1/2 binary64) |
(sin.f64 ky) |
(sin.f64 th) |
th |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(sin.f64 th) |
th |
(*.f64 ky ky) |
ky |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) (sqrt.f64 #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) |
(/.f64 ky (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(cos.f64 (+.f64 kx kx)) |
(*.f64 kx #s(literal -2 binary64)) |
(-.f64 (neg.f64 kx) kx) |
kx |
#s(literal -2 binary64) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
ky |
(sin.f64 th) |
th |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (sin.f64 th)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) (fma.f64 kx kx #s(literal 1/2 binary64))))) |
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) |
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) (fma.f64 kx kx #s(literal 1/2 binary64))))) |
(sin.f64 ky) |
ky |
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx))) |
(sqrt.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) (fma.f64 kx kx #s(literal 1/2 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)) |
(fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) (fma.f64 kx kx #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 ky ky)) |
(+.f64 ky ky) |
#s(literal 1/2 binary64) |
(*.f64 kx kx) |
kx |
(sin.f64 th) |
th |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (fma.f64 (*.f64 kx kx) (*.f64 kx #s(literal -1/6 binary64)) kx))) |
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) |
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 (*.f64 kx kx) (*.f64 kx #s(literal -1/6 binary64)) kx))) |
(sin.f64 ky) |
ky |
(hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx)) |
(hypot.f64 (sin.f64 ky) (fma.f64 (*.f64 kx kx) (*.f64 kx #s(literal -1/6 binary64)) kx)) |
(fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx) |
(fma.f64 (*.f64 kx kx) (*.f64 kx #s(literal -1/6 binary64)) kx) |
kx |
(*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) |
(*.f64 kx (*.f64 kx #s(literal -1/6 binary64))) |
#s(literal -1/6 binary64) |
(*.f64 kx kx) |
(sin.f64 th) |
th |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 5.5% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) |
| ✓ | accuracy | 4.4% | (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx)) |
| ✓ | accuracy | 2.7% | (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx) |
| ✓ | accuracy | 2.7% | (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) |
| ✓ | accuracy | 4.5% | (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx))) |
| ✓ | accuracy | 4.5% | (cos.f64 (+.f64 ky ky)) |
| ✓ | accuracy | 2.6% | (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) |
| ✓ | accuracy | 1.4% | (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)) |
| ✓ | accuracy | 4.3% | (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) |
| ✓ | accuracy | 4.2% | (cos.f64 (*.f64 kx #s(literal -2 binary64))) |
| ✓ | accuracy | 3.7% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
| ✓ | accuracy | 2.0% | (*.f64 kx #s(literal -2 binary64)) |
| ✓ | accuracy | 100.0% | (sin.f64 th) |
| ✓ | accuracy | 4.4% | (/.f64 (sin.f64 th) (*.f64 ky ky)) |
| ✓ | accuracy | 2.2% | (*.f64 ky ky) |
| ✓ | accuracy | 6.3% | (/.f64 (sqrt.f64 (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)) |
| ✓ | accuracy | 6.1% | (sqrt.f64 (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)))) |
| ✓ | accuracy | 4.7% | (+.f64 ky ky) |
| ✓ | accuracy | 4.5% | (cos.f64 (+.f64 ky ky)) |
| 149.0ms | 116× | 2 | valid |
| 58.0ms | 60× | 1 | valid |
| 48.0ms | 67× | 0 | valid |
| 24.0ms | 13× | 3 | valid |
Compiled 804 to 92 computations (88.6% saved)
ival-cos: 95.0ms (43.9% of total)ival-mult: 29.0ms (13.4% of total)adjust: 24.0ms (11.1% of total)ival-div: 17.0ms (7.9% of total)ival-sqrt: 12.0ms (5.6% of total)ival-add: 11.0ms (5.1% of total)ival-sin: 10.0ms (4.6% of total)ival-sub: 7.0ms (3.2% of total)const: 5.0ms (2.3% of total)ival-hypot: 5.0ms (2.3% 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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (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)))> |
#<alt (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)))> |
#<alt (*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) (sin.f64 th))> |
#<alt (/.f64 (sqrt.f64 (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))> |
#<alt (/.f64 (sin.f64 th) (*.f64 ky ky))> |
#<alt (sin.f64 th)> |
#<alt (*.f64 ky ky)> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)))> |
#<alt (cos.f64 (*.f64 kx #s(literal -2 binary64)))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th))> |
#<alt (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))> |
#<alt (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx))> |
#<alt (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (sin.f64 th))> |
#<alt (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx))))> |
#<alt (sin.f64 ky)> |
#<alt (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th))> |
#<alt (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx)))> |
#<alt (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))> |
#<alt (cos.f64 (+.f64 ky ky))> |
#<alt (+.f64 ky ky)> |
#<alt (sqrt.f64 (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))))> |
#<alt (*.f64 kx #s(literal -2 binary64))> |
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))> |
#<alt (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))> |
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))> |
#<alt (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx)> |
| Outputs |
|---|
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))> |
#<alt (+ (* -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))))))))> |
#<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))))))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))> |
#<alt (* (* ky (sqrt 2)) (sqrt (/ 1 (- 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)))))))))))> |
#<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))))))))))))))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 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) (+ 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 (* (* (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)))))))))> |
#<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 (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 (* (* (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))))))))))))))))> |
#<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 (* 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 (* (/ 1 (sin ky)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))> |
#<alt (+ (* 1/2 (* (/ (pow kx 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* (/ 1 (sin ky)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))> |
#<alt (+ (* (/ 1 (sin 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)))))))) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/2 (* (/ 1 (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))> |
#<alt (+ (* (/ 1 (sin ky)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* 1/2 (* (/ 1 (sin ky)) (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))))))) (sin 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)))))))) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))> |
#<alt (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* 2 kx)))))> |
#<alt (/ (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/6 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))) ky)> |
#<alt (/ (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/6 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* 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))))))) (+ (* 7/360 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/12 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))))) ky)> |
#<alt (/ (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/6 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* 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))))))) (+ (* 7/360 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* 1/12 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/12 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 31/15120 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* 7/720 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ (- 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))))))))))))))))))) ky)> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))> |
#<alt (/ th (pow ky 3))> |
#<alt (* th (+ (* -1/6 (/ (pow th 2) (pow ky 3))) (/ 1 (pow ky 3))))> |
#<alt (* th (+ (* (pow th 2) (- (* 1/120 (/ (pow th 2) (pow ky 3))) (* 1/6 (/ 1 (pow ky 3))))) (/ 1 (pow ky 3))))> |
#<alt (* th (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/5040 (/ (pow th 2) (pow ky 3))) (* 1/120 (/ 1 (pow ky 3))))) (* 1/6 (/ 1 (pow ky 3))))) (/ 1 (pow ky 3))))> |
#<alt (/ (sin th) (pow ky 5))> |
#<alt (/ (sin th) (pow ky 5))> |
#<alt (/ (sin th) (pow ky 5))> |
#<alt (/ (sin th) (pow ky 5))> |
#<alt (/ (sin th) (pow ky 5))> |
#<alt (/ (sin th) (pow ky 5))> |
#<alt (/ (sin th) (pow ky 5))> |
#<alt (/ (sin th) (pow ky 5))> |
#<alt (/ (sin th) (pow ky 3))> |
#<alt (/ (sin th) (pow ky 3))> |
#<alt (/ (sin th) (pow ky 3))> |
#<alt (/ (sin th) (pow ky 3))> |
#<alt (/ (sin th) (pow ky 2))> |
#<alt (/ (sin th) (pow ky 2))> |
#<alt (/ (sin th) (pow ky 2))> |
#<alt (/ (sin th) (pow ky 2))> |
#<alt (/ (sin th) (pow ky 2))> |
#<alt (/ (sin th) (pow ky 2))> |
#<alt (/ (sin th) (pow ky 2))> |
#<alt (/ (sin th) (pow 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> |
#<alt ky> |
#<alt ky> |
#<alt (pow ky 2)> |
#<alt (pow ky 2)> |
#<alt (pow ky 2)> |
#<alt (pow ky 2)> |
#<alt (pow ky 2)> |
#<alt (pow ky 2)> |
#<alt (pow ky 2)> |
#<alt (pow ky 2)> |
#<alt (/ 1 kx)> |
#<alt (/ (+ 1 (* 1/12 (/ (pow kx 2) (pow (sqrt 1/2) 2)))) kx)> |
#<alt (/ (+ 1 (* (pow kx 2) (+ (* 1/2 (/ (* (pow kx 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))) (* 1/12 (/ 1 (pow (sqrt 1/2) 2)))))) kx)> |
#<alt (/ (+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* 1/2 (/ (* (pow kx 2) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))) (* 1/2 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* 1/12 (/ 1 (pow (sqrt 1/2) 2)))))) kx)> |
#<alt (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt 1> |
#<alt (+ 1 (* -2 (pow kx 2)))> |
#<alt (+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2)))> |
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2)))> |
#<alt (cos (* -2 kx))> |
#<alt (cos (* -2 kx))> |
#<alt (cos (* -2 kx))> |
#<alt (cos (* -2 kx))> |
#<alt (cos (* -2 kx))> |
#<alt (cos (* -2 kx))> |
#<alt (cos (* -2 kx))> |
#<alt (cos (* -2 kx))> |
#<alt (/ (* ky (sin th)) kx)> |
#<alt (/ (+ (* 1/12 (/ (* (pow kx 2) (* ky (sin th))) (pow (sqrt 1/2) 2))) (* ky (sin th))) kx)> |
#<alt (/ (+ (* ky (sin th)) (* (pow kx 2) (+ (* 1/12 (/ (* ky (sin th)) (pow (sqrt 1/2) 2))) (* 1/2 (/ (* (pow kx 2) (* ky (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (pow (sqrt 1/2) 2)))))) kx)> |
#<alt (/ (+ (* ky (sin th)) (* (pow kx 2) (+ (* 1/12 (/ (* ky (sin th)) (pow (sqrt 1/2) 2))) (* (pow kx 2) (+ (* 1/2 (/ (* ky (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))) (pow (sqrt 1/2) 2))) (* 1/2 (/ (* (pow kx 2) (* ky (* (sin th) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))))) (pow (sqrt 1/2) 2)))))))) kx)> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* th (+ (* -1/6 (* (/ (* ky (pow th 2)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))> |
#<alt (* th (+ (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (* ky (pow th 2)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))> |
#<alt (* th (+ (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/5040 (* (/ (* ky (pow th 2)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))> |
#<alt (/ (* kx (* (sqrt 1/2) (sqrt 2))) ky)> |
#<alt (* kx (+ (* -1/3 (/ (* (pow kx 2) (sqrt 1/2)) (* ky (sqrt 2)))) (/ (* (sqrt 1/2) (sqrt 2)) ky)))> |
#<alt (* kx (+ (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (* ky (sqrt 2)))) (* 1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))))) (* ky (sqrt 2)))))) (/ (* (sqrt 1/2) (sqrt 2)) ky)))> |
#<alt (* kx (+ (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (* ky (sqrt 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (* ky (sqrt 2)))) (* 1/2 (/ (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (* ky (sqrt 2)))))))) (/ (* (sqrt 1/2) (sqrt 2)) ky)))> |
#<alt (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (pow kx 4)> |
#<alt (+ (pow kx 4) (pow ky 2))> |
#<alt (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow kx 4))> |
#<alt (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow kx 4))> |
#<alt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4))> |
#<alt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4))> |
#<alt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4))> |
#<alt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4))> |
#<alt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 4))> |
#<alt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 4))> |
#<alt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 4))> |
#<alt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 4))> |
#<alt (* 1/2 (- 1 (cos (* 2 ky))))> |
#<alt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4))> |
#<alt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4))> |
#<alt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4))> |
#<alt (pow kx 4)> |
#<alt (* (pow kx 4) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 ky))) (pow kx 4)))))> |
#<alt (* (pow kx 4) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 ky))) (pow kx 4)))))> |
#<alt (* (pow kx 4) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 ky))) (pow kx 4)))))> |
#<alt (pow kx 4)> |
#<alt (* (pow kx 4) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 ky))) (pow kx 4)))))> |
#<alt (* (pow kx 4) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 ky))) (pow kx 4)))))> |
#<alt (* (pow kx 4) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 ky))) (pow kx 4)))))> |
#<alt (/ (* ky (sin th)) (pow kx 4))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 12))) (* -1/6 (/ (sin th) (pow kx 4))))) (/ (sin th) (pow kx 4))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 12))) (+ (* -1/6 (/ (sin th) (pow kx 4))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (pow kx 4))) (+ (* 1/12 (/ (sin th) (pow kx 12))) (* 1/2 (* (pow kx 4) (* (sin th) (+ (* 1/3 (/ 1 (pow kx 16))) (* 3/4 (/ 1 (pow kx 24))))))))))))) (/ (sin th) (pow kx 4))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 12))) (+ (* -1/6 (/ (sin th) (pow kx 4))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (pow kx 4))) (+ (* 1/12 (/ (sin th) (pow kx 12))) (+ (* 1/2 (* (pow kx 4) (* (sin th) (+ (* 1/3 (/ 1 (pow kx 16))) (* 3/4 (/ 1 (pow kx 24))))))) (* (pow ky 2) (+ (* -1/2 (* (pow kx 4) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 16))) (* 3/4 (/ 1 (pow kx 24)))) (pow kx 8))) (+ (* 2/45 (/ 1 (pow kx 16))) (+ (* 2/3 (/ 1 (pow kx 24))) (/ 1 (pow kx 32)))))))) (+ (* -1/12 (* (pow kx 4) (* (sin th) (+ (* 1/3 (/ 1 (pow kx 16))) (* 3/4 (/ 1 (pow kx 24))))))) (+ (* -1/240 (/ (sin th) (pow kx 12))) (* -1/5040 (/ (sin th) (pow kx 4)))))))))))))) (/ (sin th) (pow kx 4))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 10)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 10)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 10)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 10)))))> |
#<alt (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))> |
#<alt (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))> |
#<alt (+ (* -2 (* (/ (* (pow kx 8) (* (sin ky) (sin th))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))> |
#<alt (+ (* -2 (* (/ (* (pow kx 8) (* (sin ky) (sin th))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))> |
#<alt (/ (* (sin ky) (sin th)) (pow kx 4))> |
#<alt (/ (* (sin ky) (sin th)) (pow kx 4))> |
#<alt (/ (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 ky))))) (pow kx 8))) (* (sin ky) (sin th))) (pow kx 4))> |
#<alt (/ (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 ky))))) (pow kx 8))) (* (sin ky) (sin th))) (pow kx 4))> |
#<alt (/ (* (sin ky) (sin th)) (pow kx 4))> |
#<alt (/ (* (sin ky) (sin th)) (pow kx 4))> |
#<alt (/ (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 ky))))) (pow kx 8))) (* (sin ky) (sin th))) (pow kx 4))> |
#<alt (/ (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 ky))))) (pow kx 8))) (* (sin ky) (sin th))) (pow kx 4))> |
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8)))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8)))))) (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8)))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8))))))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 10)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 10)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 10)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 10)))))> |
#<alt (* (sqrt (/ 1 (pow kx 5))) ky)> |
#<alt (* ky (+ (sqrt (/ 1 (pow kx 5))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow kx 15)))) (* -1/6 (sqrt (/ 1 (pow kx 5))))))))> |
#<alt (* ky (+ (sqrt (/ 1 (pow kx 5))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow kx 15)))) (+ (* -1/6 (sqrt (/ 1 (pow kx 5)))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (pow kx 5)))) (+ (* 1/12 (sqrt (/ 1 (pow kx 15)))) (* 1/2 (* (sqrt (pow kx 5)) (+ (* 1/3 (/ 1 (pow kx 10))) (* 3/4 (/ 1 (pow kx 15))))))))))))))> |
#<alt (* ky (+ (sqrt (/ 1 (pow kx 5))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow kx 15)))) (+ (* -1/6 (sqrt (/ 1 (pow kx 5)))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (pow kx 5)))) (+ (* 1/12 (sqrt (/ 1 (pow kx 15)))) (+ (* 1/2 (* (sqrt (pow kx 5)) (+ (* 1/3 (/ 1 (pow kx 10))) (* 3/4 (/ 1 (pow kx 15)))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (pow kx 5)) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 10))) (* 3/4 (/ 1 (pow kx 15)))) (pow kx 5))) (+ (* 2/45 (/ 1 (pow kx 10))) (+ (* 2/3 (/ 1 (pow kx 15))) (/ 1 (pow kx 20))))))) (+ (* -1/12 (* (sqrt (pow kx 5)) (+ (* 1/3 (/ 1 (pow kx 10))) (* 3/4 (/ 1 (pow kx 15)))))) (+ (* -1/240 (sqrt (/ 1 (pow kx 15)))) (* -1/5040 (sqrt (/ 1 (pow kx 5)))))))))))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 6)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 6)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 6)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 6)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 7)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 7)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 7)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 7)))))> |
#<alt (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))> |
#<alt (+ (* -2 (* (/ (* (pow kx 5) (sin ky)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))> |
#<alt (+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 5) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 5) (* (sin ky) (- (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))> |
#<alt (+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 5) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 5) (+ (* -1/2 (* (/ (* (pow kx 5) (* (sin ky) (+ (* -2 (/ (- (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (* 16 (/ 1 (pow (- 1 (cos (* 2 ky))) 4)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (- (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))> |
#<alt (* (sqrt (/ 1 (pow kx 5))) (sin ky))> |
#<alt (/ (+ (* -1/4 (* (sqrt (/ 1 (pow kx 11))) (* (sin ky) (- 1 (cos (* 2 ky)))))) (* (sqrt (/ 1 kx)) (sin ky))) (pow kx 2))> |
#<alt (/ (+ (* -1/4 (* (sqrt (/ 1 (pow kx 11))) (* (sin ky) (- 1 (cos (* 2 ky)))))) (+ (* 1/8 (* (sqrt (/ 1 (pow kx 21))) (* (sin ky) (pow (- 1 (cos (* 2 ky))) 2)))) (* (sqrt (/ 1 kx)) (sin ky)))) (pow kx 2))> |
#<alt (/ (+ (* -1/4 (* (sqrt (/ 1 (pow kx 11))) (* (sin ky) (- 1 (cos (* 2 ky)))))) (+ (* -1/32 (* (sqrt (/ 1 (pow kx 21))) (* (sin ky) (pow (- 1 (cos (* 2 ky))) 2)))) (+ (* 1/8 (* (sqrt (/ 1 (pow kx 21))) (* (sin ky) (pow (- 1 (cos (* 2 ky))) 2)))) (* (sqrt (/ 1 kx)) (sin ky))))) (pow kx 2))> |
#<alt (* (sqrt (/ 1 (pow kx 5))) (* (sin ky) (sqrt -1)))> |
#<alt (/ (+ (* -1/4 (* (sqrt (/ 1 (pow kx 11))) (* (sin ky) (* (sqrt -1) (- 1 (cos (* 2 ky))))))) (* (sqrt (/ 1 kx)) (* (sin ky) (sqrt -1)))) (pow kx 2))> |
#<alt (/ (+ (* -1/4 (* (sqrt (/ 1 (pow kx 11))) (* (sin ky) (* (sqrt -1) (- 1 (cos (* 2 ky))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow kx 21))) (* (sin ky) (* (sqrt -1) (pow (- 1 (cos (* 2 ky))) 2))))) (* (sqrt (/ 1 kx)) (* (sin ky) (sqrt -1))))) (pow kx 2))> |
#<alt (/ (+ (* -1 (/ (+ (* 1/32 (* (sqrt kx) (* (sin ky) (* (sqrt -1) (pow (- 1 (cos (* 2 ky))) 2))))) (* 1/8 (* (sqrt kx) (* (sin ky) (* (sqrt -1) (pow (- 1 (cos (* 2 ky))) 2)))))) (pow kx 11))) (+ (* -1/4 (* (sqrt (/ 1 (pow kx 11))) (* (sin ky) (* (sqrt -1) (- 1 (cos (* 2 ky))))))) (* (sqrt (/ 1 kx)) (* (sin ky) (sqrt -1))))) (pow kx 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 (* (* ky (sin th)) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7))))> |
#<alt (* ky (+ (* -1/6 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7))))) (* (sin th) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7))))))> |
#<alt (* ky (+ (* (sin th) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7)))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7))))) (* 1/120 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7)))))))))> |
#<alt (* ky (+ (* (sin th) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7)))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7))))) (* (pow ky 2) (+ (* -1/5040 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7))))) (* 1/120 (* (sin th) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7)))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 8) (pow (+ kx (* -1/6 (pow kx 11))) 8)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 8) (pow (+ kx (* -1/6 (pow kx 11))) 8)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 8) (pow (+ kx (* -1/6 (pow kx 11))) 8)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 8) (pow (+ kx (* -1/6 (pow kx 11))) 8)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 9) (pow (+ kx (* -1/6 (pow kx 12))) 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 9) (pow (+ kx (* -1/6 (pow kx 12))) 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 9) (pow (+ kx (* -1/6 (pow kx 12))) 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 9) (pow (+ kx (* -1/6 (pow kx 12))) 9)))))> |
#<alt (* (sqrt (/ 1 (pow (sin ky) 5))) (sin th))> |
#<alt (* (sqrt (/ 1 (pow (sin ky) 5))) (sin th))> |
#<alt (+ (* -1/2 (* (* (pow kx 7) (sin th)) (sqrt (/ 1 (pow (sin ky) 19))))) (* (sqrt (/ 1 (pow (sin ky) 5))) (sin th)))> |
#<alt (+ (* -1/2 (* (* (pow kx 7) (sin th)) (sqrt (/ 1 (pow (sin ky) 19))))) (* (sqrt (/ 1 (pow (sin ky) 5))) (sin th)))> |
#<alt (* (sqrt (/ 1 (pow kx 77))) (* (sin ky) (* (sin th) (sqrt -279936))))> |
#<alt (* (sqrt (/ 1 (pow kx 77))) (* (sin ky) (* (sin th) (sqrt -279936))))> |
#<alt (/ (+ (* -5878656 (* (sqrt (/ 1 (pow kx 21))) (/ (* (sin ky) (sin th)) (sqrt -279936)))) (* (sqrt (/ 1 kx)) (* (sin ky) (* (sin th) (sqrt -279936))))) (pow kx 38))> |
#<alt (/ (+ (* -5878656 (* (sqrt (/ 1 (pow kx 21))) (/ (* (sin ky) (sin th)) (sqrt -279936)))) (* (sqrt (/ 1 kx)) (* (sin ky) (* (sin th) (sqrt -279936))))) (pow kx 38))> |
#<alt (* -1 (/ (* (sin ky) (* (sin th) (sqrt 279936))) (pow kx 35)))> |
#<alt (* -1 (/ (* (sin ky) (* (sin th) (sqrt 279936))) (pow kx 35)))> |
#<alt (* -1 (/ (+ (* -5878656 (/ (* (sin ky) (sin th)) (* (pow kx 9) (sqrt 279936)))) (* (sin ky) (* (sin th) (sqrt 279936)))) (pow kx 35)))> |
#<alt (* -1 (/ (+ (* -5878656 (/ (* (sin ky) (sin th)) (* (pow kx 9) (sqrt 279936)))) (* (sin ky) (* (sin th) (sqrt 279936)))) (pow kx 35)))> |
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7)))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7)))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7))))))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 8) (pow (+ kx (* -1/6 (pow kx 11))) 8)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 8) (pow (+ kx (* -1/6 (pow kx 11))) 8)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 8) (pow (+ kx (* -1/6 (pow kx 11))) 8)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 8) (pow (+ kx (* -1/6 (pow kx 11))) 8)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 9) (pow (+ kx (* -1/6 (pow kx 12))) 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 9) (pow (+ kx (* -1/6 (pow kx 12))) 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 9) (pow (+ kx (* -1/6 (pow kx 12))) 9)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 9) (pow (+ kx (* -1/6 (pow kx 12))) 9)))))> |
#<alt (/ ky (pow (+ kx (* -1/6 (pow kx 7))) 2))> |
#<alt (* ky (+ (* -1/6 (/ (pow ky 2) (pow (+ kx (* -1/6 (pow kx 7))) 2))) (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 2))))> |
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (* 1/120 (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 2))) (* 1/2 (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 6))))) (* 1/6 (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 2))))) (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 2))))> |
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* 1/120 (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 2))) (* (pow ky 2) (- (* 5/12 (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 6))) (* 1/5040 (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 2)))))) (* 1/2 (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 6))))) (* 1/6 (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 2))))) (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 2))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 6) (pow (+ kx (* -1/6 (pow kx 9))) 6)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 6) (pow (+ kx (* -1/6 (pow kx 9))) 6)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 6) (pow (+ kx (* -1/6 (pow kx 9))) 6)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 6) (pow (+ kx (* -1/6 (pow kx 9))) 6)))))> |
#<alt (/ 1 (sin ky))> |
#<alt (+ (* -1/2 (/ (pow kx 4) (pow (sin ky) 5))) (/ 1 (sin ky)))> |
#<alt (+ (* (pow kx 4) (- (* 3/8 (/ (pow kx 4) (pow (sin ky) 9))) (* 1/2 (/ 1 (pow (sin ky) 5))))) (/ 1 (sin ky)))> |
#<alt (+ (* (pow kx 4) (- (* (pow kx 4) (+ (* 1/3 (/ (pow kx 2) (pow (sin ky) 5))) (* 3/8 (/ 1 (pow (sin ky) 9))))) (* 1/2 (/ 1 (pow (sin ky) 5))))) (/ 1 (sin ky)))> |
#<alt (* 36 (/ (sin ky) (pow kx 16)))> |
#<alt (* 36 (/ (sin ky) (pow kx 16)))> |
#<alt (/ (+ (* 36 (sin ky)) (* 432 (/ (sin ky) (pow kx 7)))) (pow kx 16))> |
#<alt (/ (+ (* 36 (sin ky)) (* 432 (/ (sin ky) (pow kx 7)))) (pow kx 16))> |
#<alt (* 36 (/ (sin ky) (pow kx 14)))> |
#<alt (/ (+ (* 36 (sin ky)) (* 432 (/ (sin ky) (pow kx 6)))) (pow kx 14))> |
#<alt (/ (+ (* 36 (sin ky)) (+ (* 432 (/ (sin ky) (pow kx 6))) (* 3888 (/ (sin ky) (pow kx 12))))) (pow kx 14))> |
#<alt (/ (+ (* 36 (sin ky)) (+ (* 432 (/ (sin ky) (pow kx 6))) (+ (* 3888 (/ (sin ky) (pow kx 12))) (* 31104 (/ (sin ky) (pow kx 18)))))) (pow kx 14))> |
#<alt (sqrt (pow (+ kx (* -1/6 (pow kx 6))) 3))> |
#<alt (+ (sqrt (pow (+ kx (* -1/6 (pow kx 6))) 3)) (* 1/2 (* (pow ky 3) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 6))) 3))))))> |
#<alt (+ (sqrt (pow (+ kx (* -1/6 (pow kx 6))) 3)) (* (pow ky 3) (+ (* -1/4 (* (pow ky 2) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 6))) 3))))) (* 1/2 (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 6))) 3)))))))> |
#<alt (+ (sqrt (pow (+ kx (* -1/6 (pow kx 6))) 3)) (* (pow ky 3) (+ (* 1/2 (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 6))) 3)))) (* (pow ky 2) (+ (* -1/4 (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 6))) 3)))) (* -1/8 (* ky (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 6))) 9))))))))))> |
#<alt (sqrt (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5)))> |
#<alt (sqrt (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5)))> |
#<alt (sqrt (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5)))> |
#<alt (sqrt (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5)))> |
#<alt (sqrt (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5)))> |
#<alt (sqrt (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5)))> |
#<alt (sqrt (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5)))> |
#<alt (sqrt (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5)))> |
#<alt (sqrt (pow (sin ky) 3))> |
#<alt (+ (sqrt (pow (sin ky) 3)) (* 1/2 (* (pow kx 3) (sqrt (/ 1 (pow (sin ky) 3))))))> |
#<alt (+ (sqrt (pow (sin ky) 3)) (* (pow kx 3) (+ (* -1/8 (* (pow kx 3) (sqrt (/ 1 (pow (sin ky) 9))))) (* 1/2 (sqrt (/ 1 (pow (sin ky) 3)))))))> |
#<alt (+ (sqrt (pow (sin ky) 3)) (* (pow kx 3) (+ (* 1/2 (sqrt (/ 1 (pow (sin ky) 3)))) (* (pow kx 3) (+ (* -1/4 (* (pow kx 2) (sqrt (/ 1 (pow (sin ky) 3))))) (* -1/8 (sqrt (/ 1 (pow (sin ky) 9)))))))))> |
#<alt (* (pow kx 12) (sqrt -1/216))> |
#<alt (* (pow kx 12) (sqrt -1/216))> |
#<alt (* (pow kx 12) (+ (sqrt -1/216) (* 1/24 (/ 1 (* (pow kx 7) (sqrt -1/216))))))> |
#<alt (* (pow kx 12) (+ (sqrt -1/216) (* 1/24 (/ 1 (* (pow kx 7) (sqrt -1/216))))))> |
#<alt (* -1 (* (sqrt (pow kx 21)) (* (sqrt -1) (sqrt 1/216))))> |
#<alt (* -1 (* (sqrt (pow kx 21)) (* (sqrt -1) (sqrt 1/216))))> |
#<alt (* -1 (* (pow kx 11) (+ (* 1/24 (* (sqrt (/ 1 (pow kx 13))) (/ (sqrt -1) (sqrt 1/216)))) (* (sqrt (/ 1 kx)) (* (sqrt -1) (sqrt 1/216))))))> |
#<alt (* -1 (* (pow kx 11) (+ (* -1 (/ (+ (* -1/24 (* (sqrt kx) (/ (sqrt -1) (sqrt 1/216)))) (* 1/4 (* (sqrt (/ 1 (pow kx 11))) (/ (sqrt -1) (sqrt 1/216))))) (pow kx 7))) (* (sqrt (/ 1 kx)) (* (sqrt -1) (sqrt 1/216))))))> |
#<alt 1> |
#<alt (+ 1 (* -2 (pow ky 2)))> |
#<alt (+ 1 (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2)))> |
#<alt (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2)))> |
#<alt (cos (* 2 ky))> |
#<alt (cos (* 2 ky))> |
#<alt (cos (* 2 ky))> |
#<alt (cos (* 2 ky))> |
#<alt (cos (neg (* -2 ky)))> |
#<alt (cos (neg (* -2 ky)))> |
#<alt (cos (neg (* -2 ky)))> |
#<alt (cos (neg (* -2 ky)))> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<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)))))))> |
#<alt (* -2 kx)> |
#<alt (* -2 kx)> |
#<alt (* -2 kx)> |
#<alt (* -2 kx)> |
#<alt kx> |
#<alt kx> |
#<alt kx> |
#<alt kx> |
#<alt (* -1 kx)> |
#<alt (* -1 kx)> |
#<alt (* -1 kx)> |
#<alt (* -1 kx)> |
#<alt (* 2 (pow ky 2))> |
#<alt (* (pow ky 2) (+ 2 (* -2/3 (pow ky 2))))> |
#<alt (* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3))))> |
#<alt (* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3))))> |
#<alt (- 1 (cos (* 2 ky)))> |
#<alt (- 1 (cos (* 2 ky)))> |
#<alt (- 1 (cos (* 2 ky)))> |
#<alt (- 1 (cos (* 2 ky)))> |
#<alt (- 1 (cos (neg (* -2 ky))))> |
#<alt (- 1 (cos (neg (* -2 ky))))> |
#<alt (- 1 (cos (neg (* -2 ky))))> |
#<alt (- 1 (cos (neg (* -2 ky))))> |
#<alt (pow kx 2)> |
#<alt (+ (* 1/2 (/ (pow ky 2) (pow kx 2))) (pow kx 2))> |
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 4))))) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))) (pow kx 2))> |
#<alt (+ (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 4)))) (pow kx 2))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 4)))) (pow kx 4))))) (pow kx 2))))) (* 1/2 (/ 1 (pow kx 2))))) (pow kx 2))> |
#<alt (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4)))> |
#<alt (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4)))> |
#<alt (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4)))> |
#<alt (sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4)))> |
#<alt (sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 4)))> |
#<alt (sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 4)))> |
#<alt (sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 4)))> |
#<alt (sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 4)))> |
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))> |
#<alt (+ (* 1/2 (* (/ (pow kx 4) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))))> |
#<alt (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 4) (+ (* -1/8 (* (/ (pow kx 4) (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))))))> |
#<alt (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 4) (+ (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 4) (+ (* -1/8 (* (/ 1 (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/16 (* (/ (pow kx 4) (pow (sqrt 1/2) 5)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 5))))))))))> |
#<alt (pow kx 2)> |
#<alt (* (pow kx 2) (+ 1 (* 1/4 (/ (- 1 (cos (* 2 ky))) (pow kx 4)))))> |
#<alt (* (pow kx 2) (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 ky))) 2) (pow kx 8))) (* 1/4 (/ (- 1 (cos (* 2 ky))) (pow kx 4))))))> |
#<alt (* (pow kx 2) (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 ky))) 2) (pow kx 8))) (+ (* 1/128 (/ (pow (- 1 (cos (* 2 ky))) 3) (pow kx 12))) (* 1/4 (/ (- 1 (cos (* 2 ky))) (pow kx 4)))))))> |
#<alt (pow kx 2)> |
#<alt (* (pow kx 2) (+ 1 (* 1/4 (/ (- 1 (cos (* 2 ky))) (pow kx 4)))))> |
#<alt (* (pow kx 2) (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 ky))) 2) (pow kx 8))) (* 1/4 (/ (- 1 (cos (* 2 ky))) (pow kx 4))))))> |
#<alt (* (pow kx 2) (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 ky))) 2) (pow kx 8))) (+ (* 1/128 (/ (pow (- 1 (cos (* 2 ky))) 3) (pow kx 12))) (* 1/4 (/ (- 1 (cos (* 2 ky))) (pow kx 4)))))))> |
#<alt (* -1/6 (pow kx 2))> |
#<alt (* -1/6 (pow kx 2))> |
#<alt (* -1/6 (pow kx 2))> |
#<alt (* -1/6 (pow kx 2))> |
#<alt (pow kx 2)> |
#<alt (pow kx 2)> |
#<alt (pow kx 2)> |
#<alt (pow kx 2)> |
#<alt (pow kx 2)> |
#<alt (pow kx 2)> |
#<alt (pow kx 2)> |
#<alt (pow kx 2)> |
#<alt kx> |
#<alt (* kx (+ 1 (* -1/6 kx)))> |
#<alt (* kx (+ 1 (* -1/6 kx)))> |
#<alt (* kx (+ 1 (* -1/6 kx)))> |
#<alt (* -1/6 (pow kx 4))> |
#<alt (* (pow kx 4) (- (/ 1 (pow kx 3)) 1/6))> |
#<alt (* (pow kx 4) (- (/ 1 (pow kx 3)) 1/6))> |
#<alt (* (pow kx 4) (- (/ 1 (pow kx 3)) 1/6))> |
#<alt (* -1/6 (pow kx 3))> |
#<alt (* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))> |
#<alt (* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))> |
#<alt (* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))> |
138 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 58.0ms | ky | @ | inf | (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (+ (* kx (* -1/6 (* kx kx))) kx) (+ (* kx (* -1/6 (* kx kx))) kx))))) (sin th)) |
| 21.0ms | ky | @ | 0 | (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (+ (* kx (* -1/6 (* kx kx))) kx) (+ (* kx (* -1/6 (* kx kx))) kx))))) (sin th)) |
| 15.0ms | kx | @ | -inf | (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (+ (* kx (* -1/6 (* kx kx))) kx) (+ (* kx (* -1/6 (* kx kx))) kx))))) (sin th)) |
| 9.0ms | ky | @ | inf | (+ (* (- 1 (cos (+ ky ky))) 1/2) (* kx kx)) |
| 8.0ms | ky | @ | inf | (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (+ (* kx (* -1/6 (* kx kx))) kx) (+ (* kx (* -1/6 (* kx kx))) kx))))) |
Compiled 2 543 to 1 930 computations (24.1% saved)
| 1× | batch-egg-rewrite |
| 1 056× | lower-*.f32 |
| 1 038× | lower-*.f64 |
| 1 028× | lower-fma.f32 |
| 1 020× | lower-fma.f64 |
| 904× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 282 |
| 0 | 85 | 282 |
| 1 | 316 | 253 |
| 0 | 2384 | 249 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
(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))) |
(*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 (sqrt.f64 (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)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(sin.f64 th) |
(*.f64 ky ky) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) |
(sin.f64 ky) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) |
(hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx)) |
(cos.f64 (+.f64 ky ky)) |
(+.f64 ky ky) |
(sqrt.f64 (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)))) |
(*.f64 kx #s(literal -2 binary64)) |
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) |
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) |
(fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 ky)))) |
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 ky))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (neg.f64 (sin.f64 ky))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(+.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (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) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))))) |
(fma.f64 (sin.f64 ky) (sin.f64 ky) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) |
(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))) |
(fma.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) |
(fma.f64 (sin.f64 kx) (sin.f64 kx) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) |
(fma.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) #s(literal -1/8 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 kx))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/4 binary64))))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) |
(fma.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 kx))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) |
(fma.f64 (pow.f64 (sin.f64 ky) #s(literal 1 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (fma.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (neg.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64))) (-.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) |
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 ky)))) |
(/.f64 (*.f64 (sin.f64 th) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 ky)))) |
(/.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) |
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(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 kx kx)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 kx kx)) #s(literal 1/4 binary64))) |
(*.f64 kx (*.f64 kx #s(literal -1/6 binary64))) |
(*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) |
(*.f64 (*.f64 kx #s(literal -1/6 binary64)) kx) |
(+.f64 kx (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)))) |
(+.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) kx) |
(-.f64 (/.f64 (*.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)))) (-.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) kx)) (/.f64 (*.f64 kx kx) (-.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) kx))) |
(fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx) |
(fma.f64 (*.f64 kx kx) (*.f64 kx #s(literal -1/6 binary64)) kx) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx) |
(fma.f64 (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx kx) |
(fma.f64 (*.f64 kx (*.f64 kx kx)) #s(literal -1/6 binary64) kx) |
(fma.f64 (*.f64 kx #s(literal -1/6 binary64)) (*.f64 kx kx) kx) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 kx (-.f64 kx (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)))) (*.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))))) (fma.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) (*.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)))) (*.f64 kx (*.f64 kx kx))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) kx) (*.f64 (fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx) (-.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) kx)))) |
(/.f64 (fma.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) (*.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)))) (*.f64 kx (*.f64 kx kx))) (fma.f64 kx (-.f64 kx (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)))) (*.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)))))) |
(/.f64 (fma.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) (*.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)))) (*.f64 kx (*.f64 kx kx))) (fma.f64 kx kx (-.f64 (*.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)))) (*.f64 kx (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))))))) |
(/.f64 (*.f64 (fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx) (-.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) kx)) (-.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) kx)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) (*.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)))) (*.f64 kx (*.f64 kx kx)))) (neg.f64 (fma.f64 kx (-.f64 kx (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)))) (*.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx) (-.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) kx))) (neg.f64 (-.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) kx))) |
(/.f64 (-.f64 (*.f64 kx kx) (*.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))))) (-.f64 kx (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))))) |
(*.f64 (fma.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) (*.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)))) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1 binary64) (fma.f64 kx (-.f64 kx (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)))) (*.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))))))) |
(*.f64 (*.f64 (fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx) (-.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) kx)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64))) kx))) |
(*.f64 (fma.f64 kx (*.f64 kx #s(literal -1/6 binary64)) #s(literal 1 binary64)) kx) |
| 1× | egg-herbie |
| 8 356× | lower-fma.f64 |
| 8 356× | lower-fma.f32 |
| 7 024× | lower-*.f64 |
| 7 024× | lower-*.f32 |
| 6 746× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1362 | 12790 |
| 1 | 4056 | 12039 |
| 0 | 8492 | 11343 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (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))))))))) |
(+ 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)))))) |
(* (* (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))))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))) |
(+ (* 1/2 (* (/ (pow kx 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* (/ 1 (sin ky)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) |
(+ (* (/ 1 (sin 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)))))))) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/2 (* (/ 1 (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))) |
(+ (* (/ 1 (sin ky)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* 1/2 (* (/ 1 (sin ky)) (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))))))) (sin 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)))))))) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* 2 kx))))) |
(/ (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/6 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))) ky) |
(/ (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/6 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* 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))))))) (+ (* 7/360 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/12 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))))) ky) |
(/ (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/6 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* 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))))))) (+ (* 7/360 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* 1/12 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/12 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 31/15120 (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* 7/720 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ (- 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))))))))))))))))))) ky) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
(/ th (pow ky 3)) |
(* th (+ (* -1/6 (/ (pow th 2) (pow ky 3))) (/ 1 (pow ky 3)))) |
(* th (+ (* (pow th 2) (- (* 1/120 (/ (pow th 2) (pow ky 3))) (* 1/6 (/ 1 (pow ky 3))))) (/ 1 (pow ky 3)))) |
(* th (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/5040 (/ (pow th 2) (pow ky 3))) (* 1/120 (/ 1 (pow ky 3))))) (* 1/6 (/ 1 (pow ky 3))))) (/ 1 (pow ky 3)))) |
(/ (sin th) (pow ky 5)) |
(/ (sin th) (pow ky 5)) |
(/ (sin th) (pow ky 5)) |
(/ (sin th) (pow ky 5)) |
(/ (sin th) (pow ky 5)) |
(/ (sin th) (pow ky 5)) |
(/ (sin th) (pow ky 5)) |
(/ (sin th) (pow ky 5)) |
(/ (sin th) (pow ky 3)) |
(/ (sin th) (pow ky 3)) |
(/ (sin th) (pow ky 3)) |
(/ (sin th) (pow ky 3)) |
(/ (sin th) (pow ky 2)) |
(/ (sin th) (pow ky 2)) |
(/ (sin th) (pow ky 2)) |
(/ (sin th) (pow ky 2)) |
(/ (sin th) (pow ky 2)) |
(/ (sin th) (pow ky 2)) |
(/ (sin th) (pow ky 2)) |
(/ (sin th) (pow 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 |
ky |
ky |
(pow ky 2) |
(pow ky 2) |
(pow ky 2) |
(pow ky 2) |
(pow ky 2) |
(pow ky 2) |
(pow ky 2) |
(pow ky 2) |
(/ 1 kx) |
(/ (+ 1 (* 1/12 (/ (pow kx 2) (pow (sqrt 1/2) 2)))) kx) |
(/ (+ 1 (* (pow kx 2) (+ (* 1/2 (/ (* (pow kx 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))) (* 1/12 (/ 1 (pow (sqrt 1/2) 2)))))) kx) |
(/ (+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* 1/2 (/ (* (pow kx 2) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))) (* 1/2 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* 1/12 (/ 1 (pow (sqrt 1/2) 2)))))) kx) |
(* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
1 |
(+ 1 (* -2 (pow kx 2))) |
(+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))) |
(cos (* -2 kx)) |
(cos (* -2 kx)) |
(cos (* -2 kx)) |
(cos (* -2 kx)) |
(cos (* -2 kx)) |
(cos (* -2 kx)) |
(cos (* -2 kx)) |
(cos (* -2 kx)) |
(/ (* ky (sin th)) kx) |
(/ (+ (* 1/12 (/ (* (pow kx 2) (* ky (sin th))) (pow (sqrt 1/2) 2))) (* ky (sin th))) kx) |
(/ (+ (* ky (sin th)) (* (pow kx 2) (+ (* 1/12 (/ (* ky (sin th)) (pow (sqrt 1/2) 2))) (* 1/2 (/ (* (pow kx 2) (* ky (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (pow (sqrt 1/2) 2)))))) kx) |
(/ (+ (* ky (sin th)) (* (pow kx 2) (+ (* 1/12 (/ (* ky (sin th)) (pow (sqrt 1/2) 2))) (* (pow kx 2) (+ (* 1/2 (/ (* ky (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))) (pow (sqrt 1/2) 2))) (* 1/2 (/ (* (pow kx 2) (* ky (* (sin th) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))))) (pow (sqrt 1/2) 2)))))))) kx) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* th (+ (* -1/6 (* (/ (* ky (pow th 2)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))) |
(* th (+ (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (* ky (pow th 2)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))))) |
(* th (+ (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/5040 (* (/ (* ky (pow th 2)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(/ (* kx (* (sqrt 1/2) (sqrt 2))) ky) |
(* kx (+ (* -1/3 (/ (* (pow kx 2) (sqrt 1/2)) (* ky (sqrt 2)))) (/ (* (sqrt 1/2) (sqrt 2)) ky))) |
(* kx (+ (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (* ky (sqrt 2)))) (* 1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))))) (* ky (sqrt 2)))))) (/ (* (sqrt 1/2) (sqrt 2)) ky))) |
(* kx (+ (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (* ky (sqrt 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (* ky (sqrt 2)))) (* 1/2 (/ (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (* ky (sqrt 2)))))))) (/ (* (sqrt 1/2) (sqrt 2)) ky))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(pow kx 4) |
(+ (pow kx 4) (pow ky 2)) |
(+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow kx 4)) |
(+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow kx 4)) |
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4)) |
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4)) |
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4)) |
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4)) |
(+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 4)) |
(+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 4)) |
(+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 4)) |
(+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 4)) |
(* 1/2 (- 1 (cos (* 2 ky)))) |
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4)) |
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4)) |
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4)) |
(pow kx 4) |
(* (pow kx 4) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 ky))) (pow kx 4))))) |
(* (pow kx 4) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 ky))) (pow kx 4))))) |
(* (pow kx 4) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 ky))) (pow kx 4))))) |
(pow kx 4) |
(* (pow kx 4) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 ky))) (pow kx 4))))) |
(* (pow kx 4) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 ky))) (pow kx 4))))) |
(* (pow kx 4) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 ky))) (pow kx 4))))) |
(/ (* ky (sin th)) (pow kx 4)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 12))) (* -1/6 (/ (sin th) (pow kx 4))))) (/ (sin th) (pow kx 4)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 12))) (+ (* -1/6 (/ (sin th) (pow kx 4))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (pow kx 4))) (+ (* 1/12 (/ (sin th) (pow kx 12))) (* 1/2 (* (pow kx 4) (* (sin th) (+ (* 1/3 (/ 1 (pow kx 16))) (* 3/4 (/ 1 (pow kx 24))))))))))))) (/ (sin th) (pow kx 4)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 12))) (+ (* -1/6 (/ (sin th) (pow kx 4))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (pow kx 4))) (+ (* 1/12 (/ (sin th) (pow kx 12))) (+ (* 1/2 (* (pow kx 4) (* (sin th) (+ (* 1/3 (/ 1 (pow kx 16))) (* 3/4 (/ 1 (pow kx 24))))))) (* (pow ky 2) (+ (* -1/2 (* (pow kx 4) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 16))) (* 3/4 (/ 1 (pow kx 24)))) (pow kx 8))) (+ (* 2/45 (/ 1 (pow kx 16))) (+ (* 2/3 (/ 1 (pow kx 24))) (/ 1 (pow kx 32)))))))) (+ (* -1/12 (* (pow kx 4) (* (sin th) (+ (* 1/3 (/ 1 (pow kx 16))) (* 3/4 (/ 1 (pow kx 24))))))) (+ (* -1/240 (/ (sin th) (pow kx 12))) (* -1/5040 (/ (sin th) (pow kx 4)))))))))))))) (/ (sin th) (pow kx 4)))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 10))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 10))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 10))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 10))))) |
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) |
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) |
(+ (* -2 (* (/ (* (pow kx 8) (* (sin ky) (sin th))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(+ (* -2 (* (/ (* (pow kx 8) (* (sin ky) (sin th))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(/ (* (sin ky) (sin th)) (pow kx 4)) |
(/ (* (sin ky) (sin th)) (pow kx 4)) |
(/ (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 ky))))) (pow kx 8))) (* (sin ky) (sin th))) (pow kx 4)) |
(/ (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 ky))))) (pow kx 8))) (* (sin ky) (sin th))) (pow kx 4)) |
(/ (* (sin ky) (sin th)) (pow kx 4)) |
(/ (* (sin ky) (sin th)) (pow kx 4)) |
(/ (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 ky))))) (pow kx 8))) (* (sin ky) (sin th))) (pow kx 4)) |
(/ (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 ky))))) (pow kx 8))) (* (sin ky) (sin th))) (pow kx 4)) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8)))))) (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8)))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 10))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 10))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 10))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 10))))) |
(* (sqrt (/ 1 (pow kx 5))) ky) |
(* ky (+ (sqrt (/ 1 (pow kx 5))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow kx 15)))) (* -1/6 (sqrt (/ 1 (pow kx 5)))))))) |
(* ky (+ (sqrt (/ 1 (pow kx 5))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow kx 15)))) (+ (* -1/6 (sqrt (/ 1 (pow kx 5)))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (pow kx 5)))) (+ (* 1/12 (sqrt (/ 1 (pow kx 15)))) (* 1/2 (* (sqrt (pow kx 5)) (+ (* 1/3 (/ 1 (pow kx 10))) (* 3/4 (/ 1 (pow kx 15)))))))))))))) |
(* ky (+ (sqrt (/ 1 (pow kx 5))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow kx 15)))) (+ (* -1/6 (sqrt (/ 1 (pow kx 5)))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (pow kx 5)))) (+ (* 1/12 (sqrt (/ 1 (pow kx 15)))) (+ (* 1/2 (* (sqrt (pow kx 5)) (+ (* 1/3 (/ 1 (pow kx 10))) (* 3/4 (/ 1 (pow kx 15)))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (pow kx 5)) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 10))) (* 3/4 (/ 1 (pow kx 15)))) (pow kx 5))) (+ (* 2/45 (/ 1 (pow kx 10))) (+ (* 2/3 (/ 1 (pow kx 15))) (/ 1 (pow kx 20))))))) (+ (* -1/12 (* (sqrt (pow kx 5)) (+ (* 1/3 (/ 1 (pow kx 10))) (* 3/4 (/ 1 (pow kx 15)))))) (+ (* -1/240 (sqrt (/ 1 (pow kx 15)))) (* -1/5040 (sqrt (/ 1 (pow kx 5))))))))))))))))) |
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 6))))) |
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 6))))) |
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 6))))) |
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 6))))) |
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 7))))) |
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 7))))) |
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 7))))) |
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 7))))) |
(* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) |
(+ (* -2 (* (/ (* (pow kx 5) (sin ky)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 5) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 5) (* (sin ky) (- (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky))))))))) |
(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 5) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 5) (+ (* -1/2 (* (/ (* (pow kx 5) (* (sin ky) (+ (* -2 (/ (- (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (* 16 (/ 1 (pow (- 1 (cos (* 2 ky))) 4)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (- (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky))))))))))) |
(* (sqrt (/ 1 (pow kx 5))) (sin ky)) |
(/ (+ (* -1/4 (* (sqrt (/ 1 (pow kx 11))) (* (sin ky) (- 1 (cos (* 2 ky)))))) (* (sqrt (/ 1 kx)) (sin ky))) (pow kx 2)) |
(/ (+ (* -1/4 (* (sqrt (/ 1 (pow kx 11))) (* (sin ky) (- 1 (cos (* 2 ky)))))) (+ (* 1/8 (* (sqrt (/ 1 (pow kx 21))) (* (sin ky) (pow (- 1 (cos (* 2 ky))) 2)))) (* (sqrt (/ 1 kx)) (sin ky)))) (pow kx 2)) |
(/ (+ (* -1/4 (* (sqrt (/ 1 (pow kx 11))) (* (sin ky) (- 1 (cos (* 2 ky)))))) (+ (* -1/32 (* (sqrt (/ 1 (pow kx 21))) (* (sin ky) (pow (- 1 (cos (* 2 ky))) 2)))) (+ (* 1/8 (* (sqrt (/ 1 (pow kx 21))) (* (sin ky) (pow (- 1 (cos (* 2 ky))) 2)))) (* (sqrt (/ 1 kx)) (sin ky))))) (pow kx 2)) |
(* (sqrt (/ 1 (pow kx 5))) (* (sin ky) (sqrt -1))) |
(/ (+ (* -1/4 (* (sqrt (/ 1 (pow kx 11))) (* (sin ky) (* (sqrt -1) (- 1 (cos (* 2 ky))))))) (* (sqrt (/ 1 kx)) (* (sin ky) (sqrt -1)))) (pow kx 2)) |
(/ (+ (* -1/4 (* (sqrt (/ 1 (pow kx 11))) (* (sin ky) (* (sqrt -1) (- 1 (cos (* 2 ky))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow kx 21))) (* (sin ky) (* (sqrt -1) (pow (- 1 (cos (* 2 ky))) 2))))) (* (sqrt (/ 1 kx)) (* (sin ky) (sqrt -1))))) (pow kx 2)) |
(/ (+ (* -1 (/ (+ (* 1/32 (* (sqrt kx) (* (sin ky) (* (sqrt -1) (pow (- 1 (cos (* 2 ky))) 2))))) (* 1/8 (* (sqrt kx) (* (sin ky) (* (sqrt -1) (pow (- 1 (cos (* 2 ky))) 2)))))) (pow kx 11))) (+ (* -1/4 (* (sqrt (/ 1 (pow kx 11))) (* (sin ky) (* (sqrt -1) (- 1 (cos (* 2 ky))))))) (* (sqrt (/ 1 kx)) (* (sin ky) (sqrt -1))))) (pow kx 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) |
(* (* ky (sin th)) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7)))) |
(* ky (+ (* -1/6 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7))))) (* (sin th) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7)))))) |
(* ky (+ (* (sin th) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7)))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7))))) (* 1/120 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7))))))))) |
(* ky (+ (* (sin th) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7)))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7))))) (* (pow ky 2) (+ (* -1/5040 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7))))) (* 1/120 (* (sin th) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 8) (pow (+ kx (* -1/6 (pow kx 11))) 8))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 8) (pow (+ kx (* -1/6 (pow kx 11))) 8))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 8) (pow (+ kx (* -1/6 (pow kx 11))) 8))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 8) (pow (+ kx (* -1/6 (pow kx 11))) 8))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 9) (pow (+ kx (* -1/6 (pow kx 12))) 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 9) (pow (+ kx (* -1/6 (pow kx 12))) 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 9) (pow (+ kx (* -1/6 (pow kx 12))) 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 9) (pow (+ kx (* -1/6 (pow kx 12))) 9))))) |
(* (sqrt (/ 1 (pow (sin ky) 5))) (sin th)) |
(* (sqrt (/ 1 (pow (sin ky) 5))) (sin th)) |
(+ (* -1/2 (* (* (pow kx 7) (sin th)) (sqrt (/ 1 (pow (sin ky) 19))))) (* (sqrt (/ 1 (pow (sin ky) 5))) (sin th))) |
(+ (* -1/2 (* (* (pow kx 7) (sin th)) (sqrt (/ 1 (pow (sin ky) 19))))) (* (sqrt (/ 1 (pow (sin ky) 5))) (sin th))) |
(* (sqrt (/ 1 (pow kx 77))) (* (sin ky) (* (sin th) (sqrt -279936)))) |
(* (sqrt (/ 1 (pow kx 77))) (* (sin ky) (* (sin th) (sqrt -279936)))) |
(/ (+ (* -5878656 (* (sqrt (/ 1 (pow kx 21))) (/ (* (sin ky) (sin th)) (sqrt -279936)))) (* (sqrt (/ 1 kx)) (* (sin ky) (* (sin th) (sqrt -279936))))) (pow kx 38)) |
(/ (+ (* -5878656 (* (sqrt (/ 1 (pow kx 21))) (/ (* (sin ky) (sin th)) (sqrt -279936)))) (* (sqrt (/ 1 kx)) (* (sin ky) (* (sin th) (sqrt -279936))))) (pow kx 38)) |
(* -1 (/ (* (sin ky) (* (sin th) (sqrt 279936))) (pow kx 35))) |
(* -1 (/ (* (sin ky) (* (sin th) (sqrt 279936))) (pow kx 35))) |
(* -1 (/ (+ (* -5878656 (/ (* (sin ky) (sin th)) (* (pow kx 9) (sqrt 279936)))) (* (sin ky) (* (sin th) (sqrt 279936)))) (pow kx 35))) |
(* -1 (/ (+ (* -5878656 (/ (* (sin ky) (sin th)) (* (pow kx 9) (sqrt 279936)))) (* (sin ky) (* (sin th) (sqrt 279936)))) (pow kx 35))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7)))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 8) (pow (+ kx (* -1/6 (pow kx 11))) 8))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 8) (pow (+ kx (* -1/6 (pow kx 11))) 8))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 8) (pow (+ kx (* -1/6 (pow kx 11))) 8))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 8) (pow (+ kx (* -1/6 (pow kx 11))) 8))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 9) (pow (+ kx (* -1/6 (pow kx 12))) 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 9) (pow (+ kx (* -1/6 (pow kx 12))) 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 9) (pow (+ kx (* -1/6 (pow kx 12))) 9))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 9) (pow (+ kx (* -1/6 (pow kx 12))) 9))))) |
(/ ky (pow (+ kx (* -1/6 (pow kx 7))) 2)) |
(* ky (+ (* -1/6 (/ (pow ky 2) (pow (+ kx (* -1/6 (pow kx 7))) 2))) (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 2)))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (* 1/120 (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 2))) (* 1/2 (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 6))))) (* 1/6 (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 2))))) (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 2)))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* 1/120 (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 2))) (* (pow ky 2) (- (* 5/12 (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 6))) (* 1/5040 (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 2)))))) (* 1/2 (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 6))))) (* 1/6 (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 2))))) (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 2)))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 6) (pow (+ kx (* -1/6 (pow kx 9))) 6))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 6) (pow (+ kx (* -1/6 (pow kx 9))) 6))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 6) (pow (+ kx (* -1/6 (pow kx 9))) 6))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 6) (pow (+ kx (* -1/6 (pow kx 9))) 6))))) |
(/ 1 (sin ky)) |
(+ (* -1/2 (/ (pow kx 4) (pow (sin ky) 5))) (/ 1 (sin ky))) |
(+ (* (pow kx 4) (- (* 3/8 (/ (pow kx 4) (pow (sin ky) 9))) (* 1/2 (/ 1 (pow (sin ky) 5))))) (/ 1 (sin ky))) |
(+ (* (pow kx 4) (- (* (pow kx 4) (+ (* 1/3 (/ (pow kx 2) (pow (sin ky) 5))) (* 3/8 (/ 1 (pow (sin ky) 9))))) (* 1/2 (/ 1 (pow (sin ky) 5))))) (/ 1 (sin ky))) |
(* 36 (/ (sin ky) (pow kx 16))) |
(* 36 (/ (sin ky) (pow kx 16))) |
(/ (+ (* 36 (sin ky)) (* 432 (/ (sin ky) (pow kx 7)))) (pow kx 16)) |
(/ (+ (* 36 (sin ky)) (* 432 (/ (sin ky) (pow kx 7)))) (pow kx 16)) |
(* 36 (/ (sin ky) (pow kx 14))) |
(/ (+ (* 36 (sin ky)) (* 432 (/ (sin ky) (pow kx 6)))) (pow kx 14)) |
(/ (+ (* 36 (sin ky)) (+ (* 432 (/ (sin ky) (pow kx 6))) (* 3888 (/ (sin ky) (pow kx 12))))) (pow kx 14)) |
(/ (+ (* 36 (sin ky)) (+ (* 432 (/ (sin ky) (pow kx 6))) (+ (* 3888 (/ (sin ky) (pow kx 12))) (* 31104 (/ (sin ky) (pow kx 18)))))) (pow kx 14)) |
(sqrt (pow (+ kx (* -1/6 (pow kx 6))) 3)) |
(+ (sqrt (pow (+ kx (* -1/6 (pow kx 6))) 3)) (* 1/2 (* (pow ky 3) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 6))) 3)))))) |
(+ (sqrt (pow (+ kx (* -1/6 (pow kx 6))) 3)) (* (pow ky 3) (+ (* -1/4 (* (pow ky 2) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 6))) 3))))) (* 1/2 (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 6))) 3))))))) |
(+ (sqrt (pow (+ kx (* -1/6 (pow kx 6))) 3)) (* (pow ky 3) (+ (* 1/2 (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 6))) 3)))) (* (pow ky 2) (+ (* -1/4 (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 6))) 3)))) (* -1/8 (* ky (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 6))) 9)))))))))) |
(sqrt (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5))) |
(sqrt (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5))) |
(sqrt (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5))) |
(sqrt (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5))) |
(sqrt (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5))) |
(sqrt (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5))) |
(sqrt (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5))) |
(sqrt (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5))) |
(sqrt (pow (sin ky) 3)) |
(+ (sqrt (pow (sin ky) 3)) (* 1/2 (* (pow kx 3) (sqrt (/ 1 (pow (sin ky) 3)))))) |
(+ (sqrt (pow (sin ky) 3)) (* (pow kx 3) (+ (* -1/8 (* (pow kx 3) (sqrt (/ 1 (pow (sin ky) 9))))) (* 1/2 (sqrt (/ 1 (pow (sin ky) 3))))))) |
(+ (sqrt (pow (sin ky) 3)) (* (pow kx 3) (+ (* 1/2 (sqrt (/ 1 (pow (sin ky) 3)))) (* (pow kx 3) (+ (* -1/4 (* (pow kx 2) (sqrt (/ 1 (pow (sin ky) 3))))) (* -1/8 (sqrt (/ 1 (pow (sin ky) 9))))))))) |
(* (pow kx 12) (sqrt -1/216)) |
(* (pow kx 12) (sqrt -1/216)) |
(* (pow kx 12) (+ (sqrt -1/216) (* 1/24 (/ 1 (* (pow kx 7) (sqrt -1/216)))))) |
(* (pow kx 12) (+ (sqrt -1/216) (* 1/24 (/ 1 (* (pow kx 7) (sqrt -1/216)))))) |
(* -1 (* (sqrt (pow kx 21)) (* (sqrt -1) (sqrt 1/216)))) |
(* -1 (* (sqrt (pow kx 21)) (* (sqrt -1) (sqrt 1/216)))) |
(* -1 (* (pow kx 11) (+ (* 1/24 (* (sqrt (/ 1 (pow kx 13))) (/ (sqrt -1) (sqrt 1/216)))) (* (sqrt (/ 1 kx)) (* (sqrt -1) (sqrt 1/216)))))) |
(* -1 (* (pow kx 11) (+ (* -1 (/ (+ (* -1/24 (* (sqrt kx) (/ (sqrt -1) (sqrt 1/216)))) (* 1/4 (* (sqrt (/ 1 (pow kx 11))) (/ (sqrt -1) (sqrt 1/216))))) (pow kx 7))) (* (sqrt (/ 1 kx)) (* (sqrt -1) (sqrt 1/216)))))) |
1 |
(+ 1 (* -2 (pow ky 2))) |
(+ 1 (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2))) |
(+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2))) |
(cos (* 2 ky)) |
(cos (* 2 ky)) |
(cos (* 2 ky)) |
(cos (* 2 ky)) |
(cos (neg (* -2 ky))) |
(cos (neg (* -2 ky))) |
(cos (neg (* -2 ky))) |
(cos (neg (* -2 ky))) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(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))))))) |
(* -2 kx) |
(* -2 kx) |
(* -2 kx) |
(* -2 kx) |
kx |
kx |
kx |
kx |
(* -1 kx) |
(* -1 kx) |
(* -1 kx) |
(* -1 kx) |
(* 2 (pow ky 2)) |
(* (pow ky 2) (+ 2 (* -2/3 (pow ky 2)))) |
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3)))) |
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3)))) |
(- 1 (cos (* 2 ky))) |
(- 1 (cos (* 2 ky))) |
(- 1 (cos (* 2 ky))) |
(- 1 (cos (* 2 ky))) |
(- 1 (cos (neg (* -2 ky)))) |
(- 1 (cos (neg (* -2 ky)))) |
(- 1 (cos (neg (* -2 ky)))) |
(- 1 (cos (neg (* -2 ky)))) |
(pow kx 2) |
(+ (* 1/2 (/ (pow ky 2) (pow kx 2))) (pow kx 2)) |
(+ (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 4))))) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))) (pow kx 2)) |
(+ (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 4)))) (pow kx 2))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 4)))) (pow kx 4))))) (pow kx 2))))) (* 1/2 (/ 1 (pow kx 2))))) (pow kx 2)) |
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4))) |
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4))) |
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4))) |
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4))) |
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 4))) |
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 4))) |
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 4))) |
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 4))) |
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) |
(+ (* 1/2 (* (/ (pow kx 4) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))) |
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 4) (+ (* -1/8 (* (/ (pow kx 4) (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))))) |
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 4) (+ (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 4) (+ (* -1/8 (* (/ 1 (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/16 (* (/ (pow kx 4) (pow (sqrt 1/2) 5)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 5)))))))))) |
(pow kx 2) |
(* (pow kx 2) (+ 1 (* 1/4 (/ (- 1 (cos (* 2 ky))) (pow kx 4))))) |
(* (pow kx 2) (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 ky))) 2) (pow kx 8))) (* 1/4 (/ (- 1 (cos (* 2 ky))) (pow kx 4)))))) |
(* (pow kx 2) (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 ky))) 2) (pow kx 8))) (+ (* 1/128 (/ (pow (- 1 (cos (* 2 ky))) 3) (pow kx 12))) (* 1/4 (/ (- 1 (cos (* 2 ky))) (pow kx 4))))))) |
(pow kx 2) |
(* (pow kx 2) (+ 1 (* 1/4 (/ (- 1 (cos (* 2 ky))) (pow kx 4))))) |
(* (pow kx 2) (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 ky))) 2) (pow kx 8))) (* 1/4 (/ (- 1 (cos (* 2 ky))) (pow kx 4)))))) |
(* (pow kx 2) (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 ky))) 2) (pow kx 8))) (+ (* 1/128 (/ (pow (- 1 (cos (* 2 ky))) 3) (pow kx 12))) (* 1/4 (/ (- 1 (cos (* 2 ky))) (pow kx 4))))))) |
(* -1/6 (pow kx 2)) |
(* -1/6 (pow kx 2)) |
(* -1/6 (pow kx 2)) |
(* -1/6 (pow kx 2)) |
(pow kx 2) |
(pow kx 2) |
(pow kx 2) |
(pow kx 2) |
(pow kx 2) |
(pow kx 2) |
(pow kx 2) |
(pow kx 2) |
kx |
(* kx (+ 1 (* -1/6 kx))) |
(* kx (+ 1 (* -1/6 kx))) |
(* kx (+ 1 (* -1/6 kx))) |
(* -1/6 (pow kx 4)) |
(* (pow kx 4) (- (/ 1 (pow kx 3)) 1/6)) |
(* (pow kx 4) (- (/ 1 (pow kx 3)) 1/6)) |
(* (pow kx 4) (- (/ 1 (pow kx 3)) 1/6)) |
(* -1/6 (pow kx 3)) |
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2))))) |
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2))))) |
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2))))) |
| Outputs |
|---|
(* (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))))) (* 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 #s(literal -1/2 binary64) (*.f64 (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 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)) (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 2/45 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 (/.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 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 (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))))))))) |
(*.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 (* 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)))))) |
(*.f64 (*.f64 ky (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))))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -2 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 -1/6 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)))))))) (*.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)))))))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.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))))) (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 -2 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 -1/6 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))))))))) (*.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 (*.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))))))) #s(literal 1/120 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 (/.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))) #s(literal -1/60 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 (/.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 (-.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 -2 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 -1/6 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))))))))) (*.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)))))) |
(+ 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 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))) |
(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))) |
(* 1/2 (- 1 (cos (* 2 kx)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) |
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)) |
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))))))) |
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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)))))))) |
(fma.f64 (sin.f64 ky) (*.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))))) (*.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)))))) |
(+ (* (* (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 (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) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.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) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.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) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.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) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(*.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) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(*.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) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(*.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) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
(*.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) (sin.f64 th))) |
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
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(* 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 (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 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th))) (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) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th))))) |
(* 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)))))))))))))) |
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(* 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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(* (* (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 (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 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 (+ (* (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))))))))) |
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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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(* (/ 1 (sin ky)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))) |
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(+ (* (/ 1 (sin 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)))))))) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/2 (* (/ 1 (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))) |
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(+ (* (/ 1 (sin ky)) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* 1/2 (* (/ 1 (sin ky)) (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))))))) (sin 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)))))))) (sin ky)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))) |
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(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
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(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
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(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
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(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) |
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(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))) |
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(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))) |
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(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))) |
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(* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))) |
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(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* 2 kx))))) |
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1 |
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(+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))) |
(fma.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)) #s(literal 1 binary64)) |
(cos (* -2 kx)) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(cos (* -2 kx)) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(cos (* -2 kx)) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(cos (* -2 kx)) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(cos (* -2 kx)) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(cos (* -2 kx)) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(cos (* -2 kx)) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(cos (* -2 kx)) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(/ (* ky (sin th)) kx) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(/ (+ (* 1/12 (/ (* (pow kx 2) (* ky (sin th))) (pow (sqrt 1/2) 2))) (* ky (sin th))) kx) |
(/.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 kx kx) (/.f64 (*.f64 ky (sin.f64 th)) #s(literal 1/2 binary64))) (*.f64 ky (sin.f64 th))) kx) |
(/ (+ (* ky (sin th)) (* (pow kx 2) (+ (* 1/12 (/ (* ky (sin th)) (pow (sqrt 1/2) 2))) (* 1/2 (/ (* (pow kx 2) (* ky (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (pow (sqrt 1/2) 2)))))) kx) |
(/.f64 (fma.f64 ky (sin.f64 th) (*.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 kx kx) ky) (*.f64 (sin.f64 th) #s(literal 7/360 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 ky (sin.f64 th))) #s(literal 1/2 binary64))))) kx) |
(/ (+ (* ky (sin th)) (* (pow kx 2) (+ (* 1/12 (/ (* ky (sin th)) (pow (sqrt 1/2) 2))) (* (pow kx 2) (+ (* 1/2 (/ (* ky (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))) (pow (sqrt 1/2) 2))) (* 1/2 (/ (* (pow kx 2) (* ky (* (sin th) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))))) (pow (sqrt 1/2) 2)))))))) kx) |
(/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (*.f64 #s(literal 1/2 binary64) (fma.f64 ky (/.f64 (*.f64 (sin.f64 th) #s(literal 7/360 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 kx kx) (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) #s(literal 31/15120 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 ky (sin.f64 th))) #s(literal 1/2 binary64))) (*.f64 ky (sin.f64 th))) kx) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(* th (+ (* -1/6 (* (/ (* ky (pow th 2)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))) |
(*.f64 th (*.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 -1/6 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(* th (+ (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (* ky (pow th 2)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (*.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 -1/6 binary64) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 th th))) (sqrt.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 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(* th (+ (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/5040 (* (/ (* ky (pow th 2)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/6 binary64) (*.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 1/2 binary64)))) (*.f64 (*.f64 th th) (*.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 -1/5040 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/120 binary64) (/.f64 ky (sqrt.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 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(/ (* kx (* (sqrt 1/2) (sqrt 2))) ky) |
(/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) |
(* kx (+ (* -1/3 (/ (* (pow kx 2) (sqrt 1/2)) (* ky (sqrt 2)))) (/ (* (sqrt 1/2) (sqrt 2)) ky))) |
(*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky)))) |
(* kx (+ (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (* ky (sqrt 2)))) (* 1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))))) (* ky (sqrt 2)))))) (/ (* (sqrt 1/2) (sqrt 2)) ky))) |
(*.f64 kx (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/30 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky)))) |
(* kx (+ (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (* ky (sqrt 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (* ky (sqrt 2)))) (* 1/2 (/ (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (* ky (sqrt 2)))))))) (/ (* (sqrt 1/2) (sqrt 2)) ky))) |
(*.f64 kx (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/1260 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/30 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky)))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(pow kx 4) |
(pow.f64 kx #s(literal 4 binary64)) |
(+ (pow kx 4) (pow ky 2)) |
(fma.f64 ky ky (pow.f64 kx #s(literal 4 binary64))) |
(+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow kx 4)) |
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (pow.f64 kx #s(literal 4 binary64))) |
(+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow kx 4)) |
(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)) (pow.f64 kx #s(literal 4 binary64))) |
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4)) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64))) |
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4)) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64))) |
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4)) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64))) |
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4)) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64))) |
(+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 4)) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64))) |
(+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 4)) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64))) |
(+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 4)) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64))) |
(+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 4)) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64))) |
(* 1/2 (- 1 (cos (* 2 ky)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) |
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4)) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64))) |
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4)) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64))) |
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4)) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64))) |
(pow kx 4) |
(pow.f64 kx #s(literal 4 binary64)) |
(* (pow kx 4) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 ky))) (pow kx 4))))) |
(*.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64))) #s(literal 1 binary64))) |
(* (pow kx 4) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 ky))) (pow kx 4))))) |
(*.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64))) #s(literal 1 binary64))) |
(* (pow kx 4) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 ky))) (pow kx 4))))) |
(*.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64))) #s(literal 1 binary64))) |
(pow kx 4) |
(pow.f64 kx #s(literal 4 binary64)) |
(* (pow kx 4) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 ky))) (pow kx 4))))) |
(*.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64))) #s(literal 1 binary64))) |
(* (pow kx 4) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 ky))) (pow kx 4))))) |
(*.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64))) #s(literal 1 binary64))) |
(* (pow kx 4) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 ky))) (pow kx 4))))) |
(*.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64))) #s(literal 1 binary64))) |
(/ (* ky (sin th)) (pow kx 4)) |
(/.f64 (*.f64 ky (sin.f64 th)) (pow.f64 kx #s(literal 4 binary64))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 12))) (* -1/6 (/ (sin th) (pow kx 4))))) (/ (sin th) (pow kx 4)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 kx #s(literal 12 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (pow.f64 kx #s(literal 4 binary64)))) (/.f64 (sin.f64 th) (pow.f64 kx #s(literal 4 binary64))))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 12))) (+ (* -1/6 (/ (sin th) (pow kx 4))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (pow kx 4))) (+ (* 1/12 (/ (sin th) (pow kx 12))) (* 1/2 (* (pow kx 4) (* (sin th) (+ (* 1/3 (/ 1 (pow kx 16))) (* 3/4 (/ 1 (pow kx 24))))))))))))) (/ (sin th) (pow kx 4)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 kx #s(literal 4 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 16 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 24 binary64))))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 kx #s(literal 12 binary64))) (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (pow.f64 kx #s(literal 4 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 kx #s(literal 12 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (pow.f64 kx #s(literal 4 binary64))))) (/.f64 (sin.f64 th) (pow.f64 kx #s(literal 4 binary64))))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 12))) (+ (* -1/6 (/ (sin th) (pow kx 4))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (pow kx 4))) (+ (* 1/12 (/ (sin th) (pow kx 12))) (+ (* 1/2 (* (pow kx 4) (* (sin th) (+ (* 1/3 (/ 1 (pow kx 16))) (* 3/4 (/ 1 (pow kx 24))))))) (* (pow ky 2) (+ (* -1/2 (* (pow kx 4) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 16))) (* 3/4 (/ 1 (pow kx 24)))) (pow kx 8))) (+ (* 2/45 (/ 1 (pow kx 16))) (+ (* 2/3 (/ 1 (pow kx 24))) (/ 1 (pow kx 32)))))))) (+ (* -1/12 (* (pow kx 4) (* (sin th) (+ (* 1/3 (/ 1 (pow kx 16))) (* 3/4 (/ 1 (pow kx 24))))))) (+ (* -1/240 (/ (sin th) (pow kx 12))) (* -1/5040 (/ (sin th) (pow kx 4)))))))))))))) (/ (sin th) (pow kx 4)))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (pow.f64 kx #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 kx #s(literal 4 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 16 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 24 binary64))))) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 kx #s(literal 4 binary64)) (sin.f64 th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 16 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 24 binary64)))) (pow.f64 kx #s(literal 8 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 16 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 kx #s(literal 24 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 32 binary64)))))) (fma.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (pow.f64 kx #s(literal 4 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 16 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 24 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/240 binary64) (sin.f64 th)) (pow.f64 kx #s(literal 12 binary64)))))) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 kx #s(literal 12 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 kx #s(literal 12 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (pow.f64 kx #s(literal 4 binary64))))) (/.f64 (sin.f64 th) (pow.f64 kx #s(literal 4 binary64))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 9))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 9))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 9))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 9))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 10))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 10 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 10))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 10 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 10))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 10 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 10))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 10 binary64)))))) |
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) |
(*.f64 (*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) |
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) |
(*.f64 (*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) |
(+ (* -2 (* (/ (* (pow kx 8) (* (sin ky) (sin th))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 kx #s(literal 8 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))) (*.f64 (*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))))) |
(+ (* -2 (* (/ (* (pow kx 8) (* (sin ky) (sin th))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 kx #s(literal 8 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))) (*.f64 (*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))))) |
(/ (* (sin ky) (sin th)) (pow kx 4)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 kx #s(literal 4 binary64))) |
(/ (* (sin ky) (sin th)) (pow kx 4)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 kx #s(literal 4 binary64))) |
(/ (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 ky))))) (pow kx 8))) (* (sin ky) (sin th))) (pow kx 4)) |
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (pow.f64 kx #s(literal 8 binary64))) (*.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 kx #s(literal 4 binary64))) |
(/ (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 ky))))) (pow kx 8))) (* (sin ky) (sin th))) (pow kx 4)) |
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (pow.f64 kx #s(literal 8 binary64))) (*.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 kx #s(literal 4 binary64))) |
(/ (* (sin ky) (sin th)) (pow kx 4)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 kx #s(literal 4 binary64))) |
(/ (* (sin ky) (sin th)) (pow kx 4)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 kx #s(literal 4 binary64))) |
(/ (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 ky))))) (pow kx 8))) (* (sin ky) (sin th))) (pow kx 4)) |
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (pow.f64 kx #s(literal 8 binary64))) (*.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 kx #s(literal 4 binary64))) |
(/ (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 ky))))) (pow kx 8))) (* (sin ky) (sin th))) (pow kx 4)) |
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (pow.f64 kx #s(literal 8 binary64))) (*.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 kx #s(literal 4 binary64))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8))))) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 8 binary64)))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8)))))) (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8))))))) |
(*.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 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 8 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 (cos (* 2 ky)))) (pow kx 8))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8)))))))))) |
(*.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 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 8 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 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 8 binary64)))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 8)))))))))))) |
(*.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 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 8 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 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 8 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 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 8 binary64)))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 9))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 9))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 9))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 9))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 10))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 10 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 10))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 10 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 10))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 10 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 10))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 10 binary64)))))) |
(* (sqrt (/ 1 (pow kx 5))) ky) |
(*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 5 binary64))))) |
(* ky (+ (sqrt (/ 1 (pow kx 5))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow kx 15)))) (* -1/6 (sqrt (/ 1 (pow kx 5)))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 15 binary64)))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 5 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 5 binary64)))))) |
(* ky (+ (sqrt (/ 1 (pow kx 5))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow kx 15)))) (+ (* -1/6 (sqrt (/ 1 (pow kx 5)))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (pow kx 5)))) (+ (* 1/12 (sqrt (/ 1 (pow kx 15)))) (* 1/2 (* (sqrt (pow kx 5)) (+ (* 1/3 (/ 1 (pow kx 10))) (* 3/4 (/ 1 (pow kx 15)))))))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 kx #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 10 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 15 binary64))))) (fma.f64 #s(literal 1/12 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 15 binary64)))) (*.f64 #s(literal 1/120 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 5 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 15 binary64)))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 5 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 5 binary64)))))) |
(* ky (+ (sqrt (/ 1 (pow kx 5))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow kx 15)))) (+ (* -1/6 (sqrt (/ 1 (pow kx 5)))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (pow kx 5)))) (+ (* 1/12 (sqrt (/ 1 (pow kx 15)))) (+ (* 1/2 (* (sqrt (pow kx 5)) (+ (* 1/3 (/ 1 (pow kx 10))) (* 3/4 (/ 1 (pow kx 15)))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (pow kx 5)) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 10))) (* 3/4 (/ 1 (pow kx 15)))) (pow kx 5))) (+ (* 2/45 (/ 1 (pow kx 10))) (+ (* 2/3 (/ 1 (pow kx 15))) (/ 1 (pow kx 20))))))) (+ (* -1/12 (* (sqrt (pow kx 5)) (+ (* 1/3 (/ 1 (pow kx 10))) (* 3/4 (/ 1 (pow kx 15)))))) (+ (* -1/240 (sqrt (/ 1 (pow kx 15)))) (* -1/5040 (sqrt (/ 1 (pow kx 5))))))))))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 15 binary64)))) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 kx #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 10 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 15 binary64))))) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 kx #s(literal 5 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 10 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 15 binary64)))) (pow.f64 kx #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 10 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 kx #s(literal 15 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 20 binary64))))))) (fma.f64 #s(literal -1/12 binary64) (*.f64 (sqrt.f64 (pow.f64 kx #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 10 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 15 binary64))))) (fma.f64 #s(literal -1/240 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 15 binary64)))) (*.f64 #s(literal -1/5040 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 5 binary64)))))))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 15 binary64)))))))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 5 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 5 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 6))))) |
(*.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 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 6 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 6))))) |
(*.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 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 6 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 6))))) |
(*.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 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 6 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 6))))) |
(*.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 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 6 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 7))))) |
(*.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 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 7 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 7))))) |
(*.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 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 7 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 7))))) |
(*.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 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 7 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 7))))) |
(*.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 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 7 binary64)))))) |
(* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* -2 (* (/ (* (pow kx 5) (sin ky)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(fma.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 ky) (pow.f64 kx #s(literal 5 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))))) |
(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 5) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 5) (* (sin ky) (- (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky))))))))) |
(fma.f64 (pow.f64 kx #s(literal 5 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 ky) (pow.f64 kx #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 5) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 5) (+ (* -1/2 (* (/ (* (pow kx 5) (* (sin ky) (+ (* -2 (/ (- (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (* 16 (/ 1 (pow (- 1 (cos (* 2 ky))) 4)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (- (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky))))))))))) |
(fma.f64 (pow.f64 kx #s(literal 5 binary64)) (fma.f64 (pow.f64 kx #s(literal 5 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (pow.f64 kx #s(literal 5 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (/.f64 #s(literal 16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 4 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 ky) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64))))) |
(* (sqrt (/ 1 (pow kx 5))) (sin ky)) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 5 binary64))))) |
(/ (+ (* -1/4 (* (sqrt (/ 1 (pow kx 11))) (* (sin ky) (- 1 (cos (* 2 ky)))))) (* (sqrt (/ 1 kx)) (sin ky))) (pow kx 2)) |
(/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 11 binary64)))) (sin.f64 ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)))) (*.f64 kx kx)) |
(/ (+ (* -1/4 (* (sqrt (/ 1 (pow kx 11))) (* (sin ky) (- 1 (cos (* 2 ky)))))) (+ (* 1/8 (* (sqrt (/ 1 (pow kx 21))) (* (sin ky) (pow (- 1 (cos (* 2 ky))) 2)))) (* (sqrt (/ 1 kx)) (sin ky)))) (pow kx 2)) |
(/.f64 (fma.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 21 binary64)))) (sin.f64 ky)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 11 binary64)))) (sin.f64 ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))))) (*.f64 kx kx)) |
(/ (+ (* -1/4 (* (sqrt (/ 1 (pow kx 11))) (* (sin ky) (- 1 (cos (* 2 ky)))))) (+ (* -1/32 (* (sqrt (/ 1 (pow kx 21))) (* (sin ky) (pow (- 1 (cos (* 2 ky))) 2)))) (+ (* 1/8 (* (sqrt (/ 1 (pow kx 21))) (* (sin ky) (pow (- 1 (cos (* 2 ky))) 2)))) (* (sqrt (/ 1 kx)) (sin ky))))) (pow kx 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 21 binary64)))) (sin.f64 ky)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) #s(literal 3/32 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 11 binary64)))) (sin.f64 ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))))) (*.f64 kx kx)) |
(* (sqrt (/ 1 (pow kx 5))) (* (sin ky) (sqrt -1))) |
(*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) |
(/ (+ (* -1/4 (* (sqrt (/ 1 (pow kx 11))) (* (sin ky) (* (sqrt -1) (- 1 (cos (* 2 ky))))))) (* (sqrt (/ 1 kx)) (* (sin ky) (sqrt -1)))) (pow kx 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 11 binary64))))) (*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 kx kx)) |
(/ (+ (* -1/4 (* (sqrt (/ 1 (pow kx 11))) (* (sin ky) (* (sqrt -1) (- 1 (cos (* 2 ky))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow kx 21))) (* (sin ky) (* (sqrt -1) (pow (- 1 (cos (* 2 ky))) 2))))) (* (sqrt (/ 1 kx)) (* (sin ky) (sqrt -1))))) (pow kx 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 21 binary64))))) (*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 11 binary64))))) (*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 kx kx)) |
(/ (+ (* -1 (/ (+ (* 1/32 (* (sqrt kx) (* (sin ky) (* (sqrt -1) (pow (- 1 (cos (* 2 ky))) 2))))) (* 1/8 (* (sqrt kx) (* (sin ky) (* (sqrt -1) (pow (- 1 (cos (* 2 ky))) 2)))))) (pow kx 11))) (+ (* -1/4 (* (sqrt (/ 1 (pow kx 11))) (* (sin ky) (* (sqrt -1) (- 1 (cos (* 2 ky))))))) (* (sqrt (/ 1 kx)) (* (sin ky) (sqrt -1))))) (pow kx 2)) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 11 binary64))))) (*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 kx)) #s(literal 5/32 binary64)) (pow.f64 kx #s(literal 11 binary64)))) (*.f64 kx 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)))) |
(*.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) |
(* (* ky (sin th)) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7)))) |
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 10 binary64)) kx) #s(literal 7 binary64))))) |
(* ky (+ (* -1/6 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7))))) (* (sin th) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7)))))) |
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 10 binary64)) kx) #s(literal 7 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (sin.f64 th)) (sin.f64 th)))) |
(* ky (+ (* (sin th) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7)))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7))))) (* 1/120 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 10 binary64)) kx) #s(literal 7 binary64)))) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 ky ky) (sin.f64 th)) (*.f64 #s(literal -1/6 binary64) (sin.f64 th)))) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 10 binary64)) kx) #s(literal 7 binary64))))))) |
(* ky (+ (* (sin th) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7)))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7))))) (* (pow ky 2) (+ (* -1/5040 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7))))) (* 1/120 (* (sin th) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 10))) 7))))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 10 binary64)) kx) #s(literal 7 binary64)))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 ky ky) (sin.f64 th)) (*.f64 #s(literal 1/120 binary64) (sin.f64 th)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 10 binary64)) kx) #s(literal 7 binary64)))))) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 10 binary64)) kx) #s(literal 7 binary64))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 8) (pow (+ kx (* -1/6 (pow kx 11))) 8))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 11 binary64)) kx) #s(literal 8 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 8) (pow (+ kx (* -1/6 (pow kx 11))) 8))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 11 binary64)) kx) #s(literal 8 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 8) (pow (+ kx (* -1/6 (pow kx 11))) 8))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 11 binary64)) kx) #s(literal 8 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 8) (pow (+ kx (* -1/6 (pow kx 11))) 8))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 11 binary64)) kx) #s(literal 8 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 9) (pow (+ kx (* -1/6 (pow kx 12))) 9))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 12 binary64)) kx) #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 9) (pow (+ kx (* -1/6 (pow kx 12))) 9))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 12 binary64)) kx) #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 9) (pow (+ kx (* -1/6 (pow kx 12))) 9))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 12 binary64)) kx) #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 9) (pow (+ kx (* -1/6 (pow kx 12))) 9))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 12 binary64)) kx) #s(literal 9 binary64)))))) |
(* (sqrt (/ 1 (pow (sin ky) 5))) (sin th)) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))))) |
(* (sqrt (/ 1 (pow (sin ky) 5))) (sin th)) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))))) |
(+ (* -1/2 (* (* (pow kx 7) (sin th)) (sqrt (/ 1 (pow (sin ky) 19))))) (* (sqrt (/ 1 (pow (sin ky) 5))) (sin th))) |
(fma.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (pow.f64 kx #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 19 binary64)))))) |
(+ (* -1/2 (* (* (pow kx 7) (sin th)) (sqrt (/ 1 (pow (sin ky) 19))))) (* (sqrt (/ 1 (pow (sin ky) 5))) (sin th))) |
(fma.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (pow.f64 kx #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 19 binary64)))))) |
(* (sqrt (/ 1 (pow kx 77))) (* (sin ky) (* (sin th) (sqrt -279936)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 77 binary64)))) (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal -279936 binary64))))) |
(* (sqrt (/ 1 (pow kx 77))) (* (sin ky) (* (sin th) (sqrt -279936)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 77 binary64)))) (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal -279936 binary64))))) |
(/ (+ (* -5878656 (* (sqrt (/ 1 (pow kx 21))) (/ (* (sin ky) (sin th)) (sqrt -279936)))) (* (sqrt (/ 1 kx)) (* (sin ky) (* (sin th) (sqrt -279936))))) (pow kx 38)) |
(/.f64 (fma.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal -279936 binary64))) (*.f64 #s(literal -5878656 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 21 binary64)))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 #s(literal -279936 binary64)))))) (pow.f64 kx #s(literal 38 binary64))) |
(/ (+ (* -5878656 (* (sqrt (/ 1 (pow kx 21))) (/ (* (sin ky) (sin th)) (sqrt -279936)))) (* (sqrt (/ 1 kx)) (* (sin ky) (* (sin th) (sqrt -279936))))) (pow kx 38)) |
(/.f64 (fma.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal -279936 binary64))) (*.f64 #s(literal -5878656 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 21 binary64)))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 #s(literal -279936 binary64)))))) (pow.f64 kx #s(literal 38 binary64))) |
(* -1 (/ (* (sin ky) (* (sin th) (sqrt 279936))) (pow kx 35))) |
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 #s(literal 279936 binary64))) (neg.f64 (pow.f64 kx #s(literal 35 binary64)))) |
(* -1 (/ (* (sin ky) (* (sin th) (sqrt 279936))) (pow kx 35))) |
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 #s(literal 279936 binary64))) (neg.f64 (pow.f64 kx #s(literal 35 binary64)))) |
(* -1 (/ (+ (* -5878656 (/ (* (sin ky) (sin th)) (* (pow kx 9) (sqrt 279936)))) (* (sin ky) (* (sin th) (sqrt 279936)))) (pow kx 35))) |
(/.f64 (fma.f64 #s(literal -5878656 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (pow.f64 kx #s(literal 9 binary64)) (sqrt.f64 #s(literal 279936 binary64)))) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 #s(literal 279936 binary64)))) (neg.f64 (pow.f64 kx #s(literal 35 binary64)))) |
(* -1 (/ (+ (* -5878656 (/ (* (sin ky) (sin th)) (* (pow kx 9) (sqrt 279936)))) (* (sin ky) (* (sin th) (sqrt 279936)))) (pow kx 35))) |
(/.f64 (fma.f64 #s(literal -5878656 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (pow.f64 kx #s(literal 9 binary64)) (sqrt.f64 #s(literal 279936 binary64)))) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 #s(literal 279936 binary64)))) (neg.f64 (pow.f64 kx #s(literal 35 binary64)))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7))))) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 10 binary64)) kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7))))))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 10 binary64)) kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 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 ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7)))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 10 binary64)) kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 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 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 10 binary64)) kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 7) (pow (+ kx (* -1/6 (pow kx 10))) 7)))))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 10 binary64)) kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 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) (+.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 10 binary64)) kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 10 binary64)) kx) #s(literal 7 binary64)) (pow.f64 (sin.f64 ky) #s(literal 7 binary64)))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 8) (pow (+ kx (* -1/6 (pow kx 11))) 8))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 11 binary64)) kx) #s(literal 8 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 8) (pow (+ kx (* -1/6 (pow kx 11))) 8))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 11 binary64)) kx) #s(literal 8 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 8) (pow (+ kx (* -1/6 (pow kx 11))) 8))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 11 binary64)) kx) #s(literal 8 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 8) (pow (+ kx (* -1/6 (pow kx 11))) 8))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 11 binary64)) kx) #s(literal 8 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 9) (pow (+ kx (* -1/6 (pow kx 12))) 9))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 12 binary64)) kx) #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 9) (pow (+ kx (* -1/6 (pow kx 12))) 9))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 12 binary64)) kx) #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 9) (pow (+ kx (* -1/6 (pow kx 12))) 9))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 12 binary64)) kx) #s(literal 9 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin ky) 9) (pow (+ kx (* -1/6 (pow kx 12))) 9))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 12 binary64)) kx) #s(literal 9 binary64)))))) |
(/ ky (pow (+ kx (* -1/6 (pow kx 7))) 2)) |
(/.f64 ky (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 7 binary64)) kx) #s(literal 2 binary64))) |
(* ky (+ (* -1/6 (/ (pow ky 2) (pow (+ kx (* -1/6 (pow kx 7))) 2))) (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 2)))) |
(fma.f64 ky (/.f64 (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 7 binary64)) kx) #s(literal 2 binary64))) (/.f64 ky (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 7 binary64)) kx) #s(literal 2 binary64)))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (* 1/120 (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 2))) (* 1/2 (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 6))))) (* 1/6 (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 2))))) (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 2)))) |
(fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 7 binary64)) kx) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 7 binary64)) kx) #s(literal 6 binary64)))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 7 binary64)) kx) #s(literal 2 binary64))))) (/.f64 ky (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 7 binary64)) kx) #s(literal 2 binary64)))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* 1/120 (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 2))) (* (pow ky 2) (- (* 5/12 (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 6))) (* 1/5040 (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 2)))))) (* 1/2 (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 6))))) (* 1/6 (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 2))))) (/ 1 (pow (+ kx (* -1/6 (pow kx 7))) 2)))) |
(fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 5/12 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 7 binary64)) kx) #s(literal 6 binary64))) (/.f64 #s(literal -1/5040 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 7 binary64)) kx) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 7 binary64)) kx) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 7 binary64)) kx) #s(literal 6 binary64))))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 7 binary64)) kx) #s(literal 2 binary64))))) (/.f64 ky (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 7 binary64)) kx) #s(literal 2 binary64)))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 8 binary64)) kx) #s(literal 5 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 8 binary64)) kx) #s(literal 5 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 8 binary64)) kx) #s(literal 5 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 8 binary64)) kx) #s(literal 5 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 6) (pow (+ kx (* -1/6 (pow kx 9))) 6))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 9 binary64)) kx) #s(literal 6 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 6) (pow (+ kx (* -1/6 (pow kx 9))) 6))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 9 binary64)) kx) #s(literal 6 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 6) (pow (+ kx (* -1/6 (pow kx 9))) 6))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 9 binary64)) kx) #s(literal 6 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin ky) 6) (pow (+ kx (* -1/6 (pow kx 9))) 6))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 9 binary64)) kx) #s(literal 6 binary64)))))) |
(/ 1 (sin ky)) |
(/.f64 #s(literal 1 binary64) (sin.f64 ky)) |
(+ (* -1/2 (/ (pow kx 4) (pow (sin ky) 5))) (/ 1 (sin ky))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) |
(+ (* (pow kx 4) (- (* 3/8 (/ (pow kx 4) (pow (sin ky) 9))) (* 1/2 (/ 1 (pow (sin ky) 5))))) (/ 1 (sin ky))) |
(fma.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 kx #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 9 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) |
(+ (* (pow kx 4) (- (* (pow kx 4) (+ (* 1/3 (/ (pow kx 2) (pow (sin ky) 5))) (* 3/8 (/ 1 (pow (sin ky) 9))))) (* 1/2 (/ 1 (pow (sin ky) 5))))) (/ 1 (sin ky))) |
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(* 36 (/ (sin ky) (pow kx 16))) |
(/.f64 (*.f64 (sin.f64 ky) #s(literal 36 binary64)) (pow.f64 kx #s(literal 16 binary64))) |
(* 36 (/ (sin ky) (pow kx 16))) |
(/.f64 (*.f64 (sin.f64 ky) #s(literal 36 binary64)) (pow.f64 kx #s(literal 16 binary64))) |
(/ (+ (* 36 (sin ky)) (* 432 (/ (sin ky) (pow kx 7)))) (pow kx 16)) |
(/.f64 (fma.f64 (sin.f64 ky) #s(literal 36 binary64) (/.f64 (*.f64 #s(literal 432 binary64) (sin.f64 ky)) (pow.f64 kx #s(literal 7 binary64)))) (pow.f64 kx #s(literal 16 binary64))) |
(/ (+ (* 36 (sin ky)) (* 432 (/ (sin ky) (pow kx 7)))) (pow kx 16)) |
(/.f64 (fma.f64 (sin.f64 ky) #s(literal 36 binary64) (/.f64 (*.f64 #s(literal 432 binary64) (sin.f64 ky)) (pow.f64 kx #s(literal 7 binary64)))) (pow.f64 kx #s(literal 16 binary64))) |
(* 36 (/ (sin ky) (pow kx 14))) |
(/.f64 (*.f64 (sin.f64 ky) #s(literal 36 binary64)) (pow.f64 kx #s(literal 14 binary64))) |
(/ (+ (* 36 (sin ky)) (* 432 (/ (sin ky) (pow kx 6)))) (pow kx 14)) |
(/.f64 (fma.f64 (sin.f64 ky) #s(literal 36 binary64) (/.f64 (*.f64 #s(literal 432 binary64) (sin.f64 ky)) (pow.f64 kx #s(literal 6 binary64)))) (pow.f64 kx #s(literal 14 binary64))) |
(/ (+ (* 36 (sin ky)) (+ (* 432 (/ (sin ky) (pow kx 6))) (* 3888 (/ (sin ky) (pow kx 12))))) (pow kx 14)) |
(/.f64 (fma.f64 #s(literal 432 binary64) (/.f64 (sin.f64 ky) (pow.f64 kx #s(literal 6 binary64))) (fma.f64 (sin.f64 ky) #s(literal 36 binary64) (/.f64 (*.f64 #s(literal 3888 binary64) (sin.f64 ky)) (pow.f64 kx #s(literal 12 binary64))))) (pow.f64 kx #s(literal 14 binary64))) |
(/ (+ (* 36 (sin ky)) (+ (* 432 (/ (sin ky) (pow kx 6))) (+ (* 3888 (/ (sin ky) (pow kx 12))) (* 31104 (/ (sin ky) (pow kx 18)))))) (pow kx 14)) |
(/.f64 (fma.f64 (sin.f64 ky) #s(literal 36 binary64) (fma.f64 #s(literal 432 binary64) (/.f64 (sin.f64 ky) (pow.f64 kx #s(literal 6 binary64))) (fma.f64 #s(literal 3888 binary64) (/.f64 (sin.f64 ky) (pow.f64 kx #s(literal 12 binary64))) (/.f64 (*.f64 #s(literal 31104 binary64) (sin.f64 ky)) (pow.f64 kx #s(literal 18 binary64)))))) (pow.f64 kx #s(literal 14 binary64))) |
(sqrt (pow (+ kx (* -1/6 (pow kx 6))) 3)) |
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 6 binary64)) kx) #s(literal 3 binary64))) |
(+ (sqrt (pow (+ kx (* -1/6 (pow kx 6))) 3)) (* 1/2 (* (pow ky 3) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 6))) 3)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 6 binary64)) kx) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 6 binary64)) kx) #s(literal 3 binary64)))) |
(+ (sqrt (pow (+ kx (* -1/6 (pow kx 6))) 3)) (* (pow ky 3) (+ (* -1/4 (* (pow ky 2) (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 6))) 3))))) (* 1/2 (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 6))) 3))))))) |
(fma.f64 (*.f64 ky (*.f64 ky ky)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 6 binary64)) kx) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 ky ky) #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 6 binary64)) kx) #s(literal 3 binary64)))) |
(+ (sqrt (pow (+ kx (* -1/6 (pow kx 6))) 3)) (* (pow ky 3) (+ (* 1/2 (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 6))) 3)))) (* (pow ky 2) (+ (* -1/4 (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 6))) 3)))) (* -1/8 (* ky (sqrt (/ 1 (pow (+ kx (* -1/6 (pow kx 6))) 9)))))))))) |
(fma.f64 (*.f64 ky (*.f64 ky ky)) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 6 binary64)) kx) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 6 binary64)) kx) #s(literal 9 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 6 binary64)) kx) #s(literal 3 binary64)))))) (sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 6 binary64)) kx) #s(literal 3 binary64)))) |
(sqrt (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 8 binary64)) kx) #s(literal 5 binary64)))) |
(sqrt (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 8 binary64)) kx) #s(literal 5 binary64)))) |
(sqrt (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 8 binary64)) kx) #s(literal 5 binary64)))) |
(sqrt (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 8 binary64)) kx) #s(literal 5 binary64)))) |
(sqrt (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 8 binary64)) kx) #s(literal 5 binary64)))) |
(sqrt (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5))) |
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(sqrt (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 8 binary64)) kx) #s(literal 5 binary64)))) |
(sqrt (+ (pow (sin ky) 5) (pow (+ kx (* -1/6 (pow kx 8))) 5))) |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 8 binary64)) kx) #s(literal 5 binary64)))) |
(sqrt (pow (sin ky) 3)) |
(sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(+ (sqrt (pow (sin ky) 3)) (* 1/2 (* (pow kx 3) (sqrt (/ 1 (pow (sin ky) 3)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) |
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(fma.f64 (*.f64 kx (*.f64 kx kx)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 kx (*.f64 kx kx))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 9 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) |
(+ (sqrt (pow (sin ky) 3)) (* (pow kx 3) (+ (* 1/2 (sqrt (/ 1 (pow (sin ky) 3)))) (* (pow kx 3) (+ (* -1/4 (* (pow kx 2) (sqrt (/ 1 (pow (sin ky) 3))))) (* -1/8 (sqrt (/ 1 (pow (sin ky) 9))))))))) |
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(* (pow kx 12) (sqrt -1/216)) |
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(* (pow kx 12) (sqrt -1/216)) |
(*.f64 (pow.f64 kx #s(literal 12 binary64)) (sqrt.f64 #s(literal -1/216 binary64))) |
(* (pow kx 12) (+ (sqrt -1/216) (* 1/24 (/ 1 (* (pow kx 7) (sqrt -1/216)))))) |
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(* (pow kx 12) (+ (sqrt -1/216) (* 1/24 (/ 1 (* (pow kx 7) (sqrt -1/216)))))) |
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(* -1 (* (sqrt (pow kx 21)) (* (sqrt -1) (sqrt 1/216)))) |
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(* -1 (* (sqrt (pow kx 21)) (* (sqrt -1) (sqrt 1/216)))) |
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(* -1 (* (pow kx 11) (+ (* 1/24 (* (sqrt (/ 1 (pow kx 13))) (/ (sqrt -1) (sqrt 1/216)))) (* (sqrt (/ 1 kx)) (* (sqrt -1) (sqrt 1/216)))))) |
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(* -1 (* (pow kx 11) (+ (* -1 (/ (+ (* -1/24 (* (sqrt kx) (/ (sqrt -1) (sqrt 1/216)))) (* 1/4 (* (sqrt (/ 1 (pow kx 11))) (/ (sqrt -1) (sqrt 1/216))))) (pow kx 7))) (* (sqrt (/ 1 kx)) (* (sqrt -1) (sqrt 1/216)))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (pow ky 2))) |
(fma.f64 #s(literal -2 binary64) (*.f64 ky ky) #s(literal 1 binary64)) |
(+ 1 (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2))) |
(fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 2/3 binary64) (*.f64 ky ky) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2))) |
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(cos (* 2 ky)) |
(cos.f64 (*.f64 ky #s(literal -2 binary64))) |
(cos (* 2 ky)) |
(cos.f64 (*.f64 ky #s(literal -2 binary64))) |
(cos (* 2 ky)) |
(cos.f64 (*.f64 ky #s(literal -2 binary64))) |
(cos (* 2 ky)) |
(cos.f64 (*.f64 ky #s(literal -2 binary64))) |
(cos (neg (* -2 ky))) |
(cos.f64 (*.f64 ky #s(literal -2 binary64))) |
(cos (neg (* -2 ky))) |
(cos.f64 (*.f64 ky #s(literal -2 binary64))) |
(cos (neg (* -2 ky))) |
(cos.f64 (*.f64 ky #s(literal -2 binary64))) |
(cos (neg (* -2 ky))) |
(cos.f64 (*.f64 ky #s(literal -2 binary64))) |
(* 2 ky) |
(*.f64 ky #s(literal 2 binary64)) |
(* 2 ky) |
(*.f64 ky #s(literal 2 binary64)) |
(* 2 ky) |
(*.f64 ky #s(literal 2 binary64)) |
(* 2 ky) |
(*.f64 ky #s(literal 2 binary64)) |
(* 2 ky) |
(*.f64 ky #s(literal 2 binary64)) |
(* 2 ky) |
(*.f64 ky #s(literal 2 binary64)) |
(* 2 ky) |
(*.f64 ky #s(literal 2 binary64)) |
(* 2 ky) |
(*.f64 ky #s(literal 2 binary64)) |
(* 2 ky) |
(*.f64 ky #s(literal 2 binary64)) |
(* 2 ky) |
(*.f64 ky #s(literal 2 binary64)) |
(* 2 ky) |
(*.f64 ky #s(literal 2 binary64)) |
(* 2 ky) |
(*.f64 ky #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 (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 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt.f64 (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 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt.f64 (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 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt.f64 (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 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))) |
(sqrt.f64 (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 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))) |
(sqrt.f64 (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 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))) |
(sqrt.f64 (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 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))) |
(sqrt.f64 (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 1/2) (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 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (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) (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 (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 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt.f64 (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 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt.f64 (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 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt.f64 (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 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt.f64 (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 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt.f64 (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 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt.f64 (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 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))) |
(sqrt.f64 (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)))) |
(* -2 kx) |
(*.f64 kx #s(literal -2 binary64)) |
(* -2 kx) |
(*.f64 kx #s(literal -2 binary64)) |
(* -2 kx) |
(*.f64 kx #s(literal -2 binary64)) |
(* -2 kx) |
(*.f64 kx #s(literal -2 binary64)) |
kx |
kx |
kx |
kx |
(* -1 kx) |
(neg.f64 kx) |
(* -1 kx) |
(neg.f64 kx) |
(* -1 kx) |
(neg.f64 kx) |
(* -1 kx) |
(neg.f64 kx) |
(* 2 (pow ky 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 ky ky)) |
(* (pow ky 2) (+ 2 (* -2/3 (pow ky 2)))) |
(*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -2/3 binary64) #s(literal 2 binary64))) |
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3)))) |
(*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64))) |
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3)))) |
(*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -2/315 binary64) #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))) |
(- 1 (cos (* 2 ky))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) |
(- 1 (cos (* 2 ky))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) |
(- 1 (cos (* 2 ky))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) |
(- 1 (cos (* 2 ky))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) |
(- 1 (cos (neg (* -2 ky)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) |
(- 1 (cos (neg (* -2 ky)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) |
(- 1 (cos (neg (* -2 ky)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) |
(- 1 (cos (neg (* -2 ky)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) |
(pow kx 2) |
(*.f64 kx kx) |
(+ (* 1/2 (/ (pow ky 2) (pow kx 2))) (pow kx 2)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) (*.f64 kx kx)) (*.f64 kx kx)) |
(+ (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 4))))) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))) (pow kx 2)) |
(fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 kx kx))) (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 kx kx)) |
(+ (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 4)))) (pow kx 2))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 4)))) (pow kx 4))))) (pow kx 2))))) (* 1/2 (/ 1 (pow kx 2))))) (pow kx 2)) |
(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 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 kx #s(literal 4 binary64))) #s(literal -1/6 binary64)) (pow.f64 kx #s(literal 4 binary64))))) (*.f64 kx kx)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 kx #s(literal 4 binary64))) #s(literal -1/6 binary64)) (*.f64 kx kx))) (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 kx kx)) |
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4))) |
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64)))) |
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4))) |
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64)))) |
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4))) |
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64)))) |
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 4))) |
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64)))) |
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 4))) |
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64)))) |
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 4))) |
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64)))) |
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 4))) |
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64)))) |
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow kx 4))) |
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64)))) |
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) |
(+ (* 1/2 (* (/ (pow kx 4) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (/.f64 (pow.f64 kx #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) |
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 4) (+ (* -1/8 (* (/ (pow kx 4) (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))))) |
(fma.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 kx #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 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 ky #s(literal -2 binary64)))))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) |
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 4) (+ (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 4) (+ (* -1/8 (* (/ 1 (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/16 (* (/ (pow kx 4) (pow (sqrt 1/2) 5)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 5)))))))))) |
(fma.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 kx #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 5 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 ky #s(literal -2 binary64)))))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) |
(pow kx 2) |
(*.f64 kx kx) |
(* (pow kx 2) (+ 1 (* 1/4 (/ (- 1 (cos (* 2 ky))) (pow kx 4))))) |
(*.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64))) #s(literal 1 binary64))) |
(* (pow kx 2) (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 ky))) 2) (pow kx 8))) (* 1/4 (/ (- 1 (cos (* 2 ky))) (pow kx 4)))))) |
(*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 kx #s(literal 8 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64))) #s(literal 1 binary64)))) |
(* (pow kx 2) (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 ky))) 2) (pow kx 8))) (+ (* 1/128 (/ (pow (- 1 (cos (* 2 ky))) 3) (pow kx 12))) (* 1/4 (/ (- 1 (cos (* 2 ky))) (pow kx 4))))))) |
(*.f64 (*.f64 kx kx) (+.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 kx #s(literal 8 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/128 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))) (pow.f64 kx #s(literal 12 binary64))))) |
(pow kx 2) |
(*.f64 kx kx) |
(* (pow kx 2) (+ 1 (* 1/4 (/ (- 1 (cos (* 2 ky))) (pow kx 4))))) |
(*.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64))) #s(literal 1 binary64))) |
(* (pow kx 2) (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 ky))) 2) (pow kx 8))) (* 1/4 (/ (- 1 (cos (* 2 ky))) (pow kx 4)))))) |
(*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 kx #s(literal 8 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64))) #s(literal 1 binary64)))) |
(* (pow kx 2) (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 ky))) 2) (pow kx 8))) (+ (* 1/128 (/ (pow (- 1 (cos (* 2 ky))) 3) (pow kx 12))) (* 1/4 (/ (- 1 (cos (* 2 ky))) (pow kx 4))))))) |
(*.f64 (*.f64 kx kx) (+.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 kx #s(literal 8 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (pow.f64 kx #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/128 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))) (pow.f64 kx #s(literal 12 binary64))))) |
(* -1/6 (pow kx 2)) |
(*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) |
(* -1/6 (pow kx 2)) |
(*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) |
(* -1/6 (pow kx 2)) |
(*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) |
(* -1/6 (pow kx 2)) |
(*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) |
(pow kx 2) |
(*.f64 kx kx) |
(pow kx 2) |
(*.f64 kx kx) |
(pow kx 2) |
(*.f64 kx kx) |
(pow kx 2) |
(*.f64 kx kx) |
(pow kx 2) |
(*.f64 kx kx) |
(pow kx 2) |
(*.f64 kx kx) |
(pow kx 2) |
(*.f64 kx kx) |
(pow kx 2) |
(*.f64 kx kx) |
kx |
(* kx (+ 1 (* -1/6 kx))) |
(fma.f64 kx (*.f64 kx #s(literal -1/6 binary64)) kx) |
(* kx (+ 1 (* -1/6 kx))) |
(fma.f64 kx (*.f64 kx #s(literal -1/6 binary64)) kx) |
(* kx (+ 1 (* -1/6 kx))) |
(fma.f64 kx (*.f64 kx #s(literal -1/6 binary64)) kx) |
(* -1/6 (pow kx 4)) |
(*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 4 binary64))) |
(* (pow kx 4) (- (/ 1 (pow kx 3)) 1/6)) |
(*.f64 (pow.f64 kx #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx))) #s(literal -1/6 binary64))) |
(* (pow kx 4) (- (/ 1 (pow kx 3)) 1/6)) |
(*.f64 (pow.f64 kx #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx))) #s(literal -1/6 binary64))) |
(* (pow kx 4) (- (/ 1 (pow kx 3)) 1/6)) |
(*.f64 (pow.f64 kx #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx))) #s(literal -1/6 binary64))) |
(* -1/6 (pow kx 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx))) |
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2))))) |
(neg.f64 (*.f64 (*.f64 kx (*.f64 kx kx)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 kx kx))))) |
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2))))) |
(neg.f64 (*.f64 (*.f64 kx (*.f64 kx kx)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 kx kx))))) |
(* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2))))) |
(neg.f64 (*.f64 (*.f64 kx (*.f64 kx kx)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 kx kx))))) |
Compiled 26 692 to 2 931 computations (89% saved)
77 alts after pruning (75 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 992 | 41 | 1 033 |
| Fresh | 18 | 34 | 52 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 014 | 77 | 1 091 |
| Status | Accuracy | Program |
|---|---|---|
| 2.2% | (fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) | |
| 2.1% | (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) | |
| 3.0% | (/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) | |
| 2.9% | (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) | |
| 3.9% | (/.f64 (/.f64 (sin.f64 th) ky) ky) | |
| 78.3% | (/.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))))))) | |
| 11.8% | (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) | |
| 2.8% | (/.f64 (*.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))) (*.f64 ky ky)) | |
| 23.4% | (/.f64 (*.f64 ky (sin.f64 th)) kx) | |
| 3.8% | (/.f64 (sin.f64 th) (*.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)))) | |
| 3.6% | (/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) | |
| ✓ | 3.9% | (/.f64 (sin.f64 th) (*.f64 ky ky)) |
| 4.3% | (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) | |
| ▶ | 3.4% | (/.f64 th (*.f64 ky (*.f64 ky ky))) |
| ▶ | 28.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th))) |
| 3.9% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) | |
| 28.5% | (*.f64 (/.f64 (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) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) | |
| 28.4% | (*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) | |
| 32.6% | (*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) | |
| 49.6% | (*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) | |
| 3.3% | (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) | |
| 28.5% | (*.f64 (/.f64 (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th)) | |
| 4.8% | (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th)) | |
| ▶ | 78.4% | (*.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)) |
| 19.1% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) | |
| 28.6% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64)))) ky) | |
| 69.7% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (sin.f64 kx))) (sin.f64 th)) | |
| 59.1% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx kx) kx))) (sin.f64 th)) | |
| 33.0% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) | |
| 50.2% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) | |
| 32.5% | (*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th)) | |
| 12.0% | (*.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)) | |
| ▶ | 40.0% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
| 27.7% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) | |
| 65.2% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)))))) (sin.f64 th)) | |
| 22.9% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (sin.f64 th)) | |
| 28.0% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (sin.f64 th)) | |
| 19.1% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)) | |
| 30.2% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 th)) | |
| 33.3% | (*.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)))) (sin.f64 th)) | |
| 78.3% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (sin.f64 th)) | |
| 32.6% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th)) | |
| 61.5% | (*.f64 (/.f64 (exp.f64 (log.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)) | |
| 24.4% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) | |
| 33.3% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.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))) (sin.f64 th)) | |
| 28.5% | (*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky))) (sin.f64 th)) | |
| 28.6% | (*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.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.f64 th)) | |
| 40.0% | (*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) | |
| ✓ | 78.5% | (*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) (sin.f64 th)) |
| 35.6% | (*.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 ky ky))) (sin.f64 ky))) (sin.f64 th)) | |
| 22.3% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 kx kx))) (sin.f64 ky))) (sin.f64 th)) | |
| 32.6% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (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))) (sin.f64 th)) | |
| 33.3% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky))) (sin.f64 th)) | |
| 12.0% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) | |
| 16.6% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)) | |
| 16.3% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) | |
| 16.4% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (*.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)))) | |
| 3.9% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) | |
| 24.3% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) | |
| 12.3% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) | |
| 10.7% | (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) | |
| 28.5% | (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) ky) (sin.f64 th)) | |
| 28.5% | (*.f64 (*.f64 (*.f64 ky (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 th)) | |
| 78.3% | (*.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)) | |
| 32.3% | (*.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))))) | |
| 32.5% | (*.f64 (*.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.f64 th)) | |
| 40.1% | (*.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 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)))))) | |
| 18.5% | (*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) | |
| ▶ | 13.8% | (*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
| 21.0% | (*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) | |
| 28.5% | (*.f64 (*.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.f64 th)) | |
| 28.5% | (*.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))))) | |
| 28.4% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) | |
| 16.6% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) | |
| 22.4% | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 kx kx))))) | |
| 78.3% | (*.f64 (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))))))) (sin.f64 th))) | |
| 16.4% | (*.f64 th (*.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 -1/6 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
Compiled 3 410 to 2 347 computations (31.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) |
| ✓ | cost-diff | 384 | (fma.f64 (-.f64 #s(literal 1 binary64) (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 kx kx))))) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) |
| ✓ | cost-diff | 128 | (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th)) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
| ✓ | cost-diff | 0 | (*.f64 ky ky) |
| ✓ | cost-diff | 0 | (*.f64 ky (*.f64 ky ky)) |
| ✓ | cost-diff | 0 | (/.f64 th (*.f64 ky (*.f64 ky ky))) |
| ✓ | 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))))) |
| 8 976× | lower-fma.f32 |
| 8 966× | lower-fma.f64 |
| 4 500× | lower-+.f32 |
| 4 492× | lower-+.f64 |
| 4 202× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 483 |
| 0 | 102 | 467 |
| 1 | 186 | 467 |
| 2 | 384 | 455 |
| 3 | 918 | 437 |
| 4 | 2299 | 437 |
| 5 | 4049 | 437 |
| 6 | 4934 | 437 |
| 7 | 5478 | 437 |
| 8 | 5804 | 437 |
| 9 | 5984 | 437 |
| 10 | 6018 | 437 |
| 0 | 8202 | 418 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
th |
(*.f64 ky (*.f64 ky ky)) |
ky |
(*.f64 ky ky) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
ky |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) |
(/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx))) |
#s(literal 1 binary64) |
(*.f64 kx (*.f64 kx kx)) |
kx |
(*.f64 kx kx) |
(fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 ky ky) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(sin.f64 th) |
th |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th))) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th)) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) |
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -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) |
ky |
(sin.f64 th) |
th |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) |
(sin.f64 ky) |
ky |
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (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 kx kx))))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 ky ky)) |
(+.f64 ky ky) |
#s(literal 1/2 binary64) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))) |
#s(literal -1/2 binary64) |
(cos.f64 (+.f64 kx kx)) |
(+.f64 kx kx) |
kx |
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) |
th |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
#s(literal -1/6 binary64) |
(*.f64 th th) |
| Outputs |
|---|
(*.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 th) (sin.f64 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)))) |
(/.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) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
th |
(*.f64 ky (*.f64 ky ky)) |
ky |
(*.f64 ky ky) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sin.f64 th) (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
ky |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) |
(/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx))) |
#s(literal 1 binary64) |
(*.f64 kx (*.f64 kx kx)) |
kx |
(*.f64 kx kx) |
(fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 ky ky) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(sin.f64 th) |
th |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th))) |
(/.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (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 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th)) |
(/.f64 (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) ky)) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))) ky) |
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 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 #s(literal 1 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)) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -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) |
ky |
(sin.f64 th) |
th |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) 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 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) |
(/.f64 (sin.f64 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)))) |
(sin.f64 ky) |
ky |
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))))) |
(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 ky ky))) #s(literal 1/2 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) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 ky ky)) |
(+.f64 ky ky) |
#s(literal 1/2 binary64) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) |
(fma.f64 (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))) |
(*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(cos.f64 (+.f64 kx kx)) |
(+.f64 kx kx) |
kx |
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) |
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th) |
th |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(*.f64 th (*.f64 th #s(literal -1/6 binary64))) |
#s(literal -1/6 binary64) |
(*.f64 th th) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 3.7% | (*.f64 th th) |
| ✓ | accuracy | 3.2% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
| ✓ | accuracy | 3.0% | (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))) |
| ✓ | accuracy | 2.8% | (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) |
| ✓ | accuracy | 4.3% | (cos.f64 (*.f64 kx #s(literal -2 binary64))) |
| ✓ | accuracy | 3.5% | (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th)) |
| ✓ | accuracy | 2.7% | (*.f64 kx #s(literal -2 binary64)) |
| ✓ | accuracy | 2.0% | (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 6.3% | (*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
| ✓ | accuracy | 4.1% | (*.f64 kx kx) |
| ✓ | accuracy | 3.4% | (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
| ✓ | accuracy | 2.3% | (*.f64 ky ky) |
| ✓ | accuracy | 4.0% | (*.f64 ky (*.f64 ky ky)) |
| ✓ | accuracy | 2.3% | (*.f64 ky ky) |
| ✓ | accuracy | 2.2% | (/.f64 th (*.f64 ky (*.f64 ky ky))) |
| ✓ | accuracy | 5.7% | (+.f64 kx kx) |
| ✓ | accuracy | 4.7% | (+.f64 ky ky) |
| ✓ | accuracy | 3.8% | (/.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))))))) |
| ✓ | accuracy | 1.8% | (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))))) |
| 181.0ms | 117× | 2 | valid |
| 67.0ms | 60× | 1 | valid |
| 41.0ms | 66× | 0 | valid |
| 37.0ms | 13× | 3 | valid |
Compiled 991 to 113 computations (88.6% saved)
ival-cos: 79.0ms (29.9% of total)ival-mult: 68.0ms (25.7% of total)adjust: 31.0ms (11.7% of total)ival-div: 24.0ms (9.1% of total)ival-add: 19.0ms (7.2% of total)ival-sqrt: 13.0ms (4.9% of total)ival-sin: 11.0ms (4.2% of total)const: 10.0ms (3.8% of total)ival-sub: 8.0ms (3% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<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 1/2 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 th (*.f64 ky (*.f64 ky ky)))> |
#<alt (*.f64 ky (*.f64 ky ky))> |
#<alt (*.f64 ky ky)> |
#<alt (*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th))> |
#<alt (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx))))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th)))> |
#<alt (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th))> |
#<alt (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))> |
#<alt (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky)> |
#<alt (fma.f64 (-.f64 #s(literal 1 binary64) (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 kx kx)))))> |
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))> |
#<alt (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))> |
#<alt (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))))))> |
#<alt (+.f64 ky ky)> |
#<alt (+.f64 kx kx)> |
#<alt (*.f64 kx kx)> |
#<alt (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64)))> |
#<alt (*.f64 kx #s(literal -2 binary64))> |
#<alt (cos.f64 (*.f64 kx #s(literal -2 binary64)))> |
#<alt (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)> |
#<alt (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))> |
#<alt (*.f64 th th)> |
| Outputs |
|---|
#<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 (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 (* (* 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 (+ (* -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))))))))))))> |
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#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))> |
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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))))))))))))))))))))> |
#<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 (* th (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* 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))))))))))))> |
#<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))))))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))> |
#<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)))))))))))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))> |
#<alt (+ (* -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))))))))> |
#<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))))))))))))> |
#<alt (* (sin th) (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))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))> |
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#<alt (+ (* -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)))))))> |
#<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)))))))))))> |
#<alt (* (sin th) (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 (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))> |
#<alt (/ th (pow ky 2))> |
#<alt (/ th (pow ky 2))> |
#<alt (/ th (pow ky 2))> |
#<alt (/ th (pow ky 2))> |
#<alt (/ th (pow ky 3))> |
#<alt (/ th (pow ky 3))> |
#<alt (/ th (pow ky 3))> |
#<alt (/ th (pow ky 3))> |
#<alt (/ th (pow ky 3))> |
#<alt (/ th (pow ky 3))> |
#<alt (/ th (pow ky 3))> |
#<alt (/ th (pow ky 3))> |
#<alt (/ th (pow ky 2))> |
#<alt (/ th (pow ky 2))> |
#<alt (/ th (pow ky 2))> |
#<alt (/ th (pow ky 2))> |
#<alt (/ th (pow ky 2))> |
#<alt (/ th (pow ky 2))> |
#<alt (/ th (pow ky 2))> |
#<alt (/ th (pow ky 2))> |
#<alt (/ th (pow ky 3))> |
#<alt (/ th (pow ky 3))> |
#<alt (/ th (pow ky 3))> |
#<alt (/ th (pow ky 3))> |
#<alt ky> |
#<alt ky> |
#<alt ky> |
#<alt ky> |
#<alt (pow ky 2)> |
#<alt (pow ky 2)> |
#<alt (pow ky 2)> |
#<alt (pow ky 2)> |
#<alt (pow ky 2)> |
#<alt (pow ky 2)> |
#<alt (pow ky 2)> |
#<alt (pow ky 2)> |
#<alt ky> |
#<alt ky> |
#<alt ky> |
#<alt ky> |
#<alt (pow ky 2)> |
#<alt (pow ky 2)> |
#<alt (pow ky 2)> |
#<alt (pow ky 2)> |
#<alt (pow ky 2)> |
#<alt (pow ky 2)> |
#<alt (pow ky 2)> |
#<alt (pow ky 2)> |
#<alt (/ (* ky (sin th)) (pow kx 2))> |
#<alt (/ (* ky (sin th)) (pow kx 2))> |
#<alt (* ky (+ (* -1/6 (/ (* (pow ky 9) (sin th)) (pow kx 2))) (/ (sin th) (pow kx 2))))> |
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#<alt (* -1/6 (/ (* (pow ky 16) (sin th)) (pow kx 2)))> |
#<alt (* (pow ky 16) (+ (* -1/6 (/ (sin th) (pow kx 2))) (* 1/120 (/ (sin th) (* (pow kx 2) (pow ky 5))))))> |
#<alt (* (pow ky 16) (+ (* -1/6 (/ (sin th) (pow kx 2))) (* 1/120 (/ (sin th) (* (pow kx 2) (pow ky 5))))))> |
#<alt (* (pow ky 16) (+ (* -1/6 (/ (sin th) (pow kx 2))) (+ (* 1/120 (/ (sin th) (* (pow kx 2) (pow ky 5)))) (/ (sin th) (* (pow kx 2) (pow ky 15))))))> |
#<alt (* -1/6 (* (sqrt (/ 1 (pow kx 5))) (* (pow ky 17) (sin th))))> |
#<alt (* -1 (* (pow ky 17) (+ (* 1/120 (* (sqrt (/ 1 (pow kx 5))) (/ (sin th) (pow ky 5)))) (* 1/6 (* (sqrt (/ 1 (pow kx 5))) (sin th))))))> |
#<alt (* -1 (* (pow ky 17) (+ (* 1/120 (* (sqrt (/ 1 (pow kx 5))) (/ (sin th) (pow ky 5)))) (* 1/6 (* (sqrt (/ 1 (pow kx 5))) (sin th))))))> |
#<alt (* -1 (* (pow ky 17) (+ (* -1 (/ (+ (* -1/120 (* (sqrt (/ 1 (pow kx 5))) (sin th))) (* (sqrt (/ 1 (pow kx 5))) (/ (sin th) (pow ky 11)))) (pow ky 5))) (* 1/6 (* (sqrt (/ 1 (pow kx 5))) (sin th))))))> |
#<alt (/ (* ky (* (sin th) (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6))))) (pow kx 2))> |
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#<alt (/ (* ky (* (sin th) (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6))))) (pow kx 2))> |
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#<alt (* (sqrt (/ 1 (pow kx 3))) (* ky (* (sin th) (+ 1 (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6))))))> |
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#<alt (* (sqrt (/ 1 (pow kx 3))) (* ky (* (sin th) (+ 1 (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6))))))> |
#<alt (* -1 (* (sqrt (/ 1 (pow kx 3))) (* ky (* (sin th) (* (pow (sqrt -1) 2) (+ 1 (* (pow ky 10) (- (* 1/120 (pow ky 10)) 1/6))))))))> |
#<alt (* -1 (* (sqrt (/ 1 (pow kx 3))) (* ky (* (sin th) (* (pow (sqrt -1) 2) (+ 1 (* (pow ky 10) (- (* 1/120 (pow ky 10)) 1/6))))))))> |
#<alt (* -1 (* (sqrt (/ 1 (pow kx 3))) (* ky (* (sin th) (* (pow (sqrt -1) 2) (+ 1 (* (pow ky 10) (- (* 1/120 (pow ky 10)) 1/6))))))))> |
#<alt (* -1 (* (sqrt (/ 1 (pow kx 3))) (* ky (* (sin th) (* (pow (sqrt -1) 2) (+ 1 (* (pow ky 10) (- (* 1/120 (pow ky 10)) 1/6))))))))> |
#<alt (/ (* ky (* th (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6))))) (pow kx 2))> |
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#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (* ky (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6)))) (pow kx 2))) (* 1/120 (/ (* ky (* (pow th 2) (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6))))) (pow kx 2))))) (/ (* ky (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6)))) (pow kx 2))))> |
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (* ky (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6)))) (pow kx 2))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (* (pow th 2) (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6))))) (pow kx 2))) (* 1/120 (/ (* ky (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6)))) (pow kx 2))))))) (/ (* ky (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6)))) (pow kx 2))))> |
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#<alt (/ 1 kx)> |
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#<alt (/ (+ (* ky (sin th)) (* (pow kx 2) (+ (* 1/12 (/ (* ky (sin th)) (pow (sqrt 1/2) 2))) (* (pow kx 2) (+ (* 1/2 (/ (* ky (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))) (pow (sqrt 1/2) 2))) (* 1/2 (/ (* (pow kx 2) (* ky (* (sin th) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))))) (pow (sqrt 1/2) 2)))))))) kx)> |
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#<alt (* th (+ (* -1/6 (* (/ (* ky (pow th 2)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))> |
#<alt (* th (+ (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (* ky (pow th 2)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))> |
#<alt (* th (+ (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/5040 (* (/ (* ky (pow th 2)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))))> |
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#<alt (* kx (+ (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (* ky (* (sin th) (sqrt 2))))) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (* ky (* (sin th) (sqrt 2))))) (* 1/2 (/ (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (* ky (* (sin th) (sqrt 2))))))))) (/ (* (sqrt 1/2) (sqrt 2)) (* ky (sin th)))))> |
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#<alt (/ (+ (* 1/6 (* (/ (* (pow th 2) (sqrt 1/2)) ky) (sqrt (- 1 (cos (* -2 kx)))))) (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx)))))) th)> |
#<alt (/ (+ (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) (* (pow th 2) (+ (* -1 (* (* (pow th 2) (+ (* -1/36 (/ (sqrt 1/2) ky)) (* 1/120 (/ (sqrt 1/2) ky)))) (sqrt (- 1 (cos (* -2 kx)))))) (* 1/6 (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))))))) th)> |
#<alt (/ (+ (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) (* (pow th 2) (+ (* 1/6 (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1 (* (* (pow th 2) (+ (* -1/5040 (/ (sqrt 1/2) ky)) (+ (* 1/720 (/ (sqrt 1/2) ky)) (* 1/6 (+ (* -1/36 (/ (sqrt 1/2) ky)) (* 1/120 (/ (sqrt 1/2) ky))))))) (sqrt (- 1 (cos (* -2 kx)))))) (* -1 (* (+ (* -1/36 (/ (sqrt 1/2) ky)) (* 1/120 (/ (sqrt 1/2) ky))) (sqrt (- 1 (cos (* -2 kx))))))))))) th)> |
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#<alt (pow kx 2)> |
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#<alt (* kx (+ (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (* ky (sqrt 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (* ky (sqrt 2)))) (* 1/2 (/ (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (* ky (sqrt 2)))))))) (/ (* (sqrt 1/2) (sqrt 2)) ky)))> |
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#<alt (+ 1/2 (* -1/2 (cos (* 2 kx))))> |
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#<alt (* 1/2 (- 1 (cos (* 2 ky))))> |
#<alt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 2))> |
#<alt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))))> |
#<alt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))> |
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))> |
#<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 (* (* ky (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))> |
#<alt (* ky (+ (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5)))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (+ th (* -1/6 (pow th 5))))) (* -1/6 (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5)))))))))> |
#<alt (* ky (+ (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5)))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (+ th (* -1/6 (pow th 5))))) (+ (* -1/6 (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5))))) (+ (* 1/12 (* (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (+ th (* -1/6 (pow th 5))))) (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (+ th (* -1/6 (pow th 5))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))))))))))))> |
#<alt (* ky (+ (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5)))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (+ th (* -1/6 (pow th 5))))) (+ (* -1/6 (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5))))) (+ (* 1/12 (* (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (+ th (* -1/6 (pow th 5))))) (+ (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (+ th (* -1/6 (pow th 5))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (+ th (* -1/6 (pow th 5))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4)))))))) (+ (* -1/12 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (+ th (* -1/6 (pow th 5))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))))) (+ (* -1/240 (* (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (+ th (* -1/6 (pow th 5))))) (* -1/5040 (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5))))))))))))))))))> |
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 7)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))> |
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 7)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))> |
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 7)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))> |
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 7)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))> |
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 7)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))> |
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 7)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))> |
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 7)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))> |
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 7)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))> |
#<alt (* (* (sin ky) (* (sqrt 2) (+ th (* -1/6 (pow th 5))))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))> |
#<alt (+ (* -2 (* (/ (* (pow kx 2) (* (sin ky) (+ th (* -1/6 (pow th 5))))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (* (sqrt 2) (+ th (* -1/6 (pow th 5))))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))> |
#<alt (+ (* (* (sin ky) (* (sqrt 2) (+ th (* -1/6 (pow th 5))))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (+ th (* -1/6 (pow th 5))) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))> |
#<alt (+ (* (* (sin ky) (* (sqrt 2) (+ th (* -1/6 (pow th 5))))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (+ th (* -1/6 (pow th 5))) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (* (+ th (* -1/6 (pow th 5))) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))> |
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))> |
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))> |
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))> |
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))> |
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))> |
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))> |
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))> |
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))> |
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 4) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 4) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 4) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))> |
#<alt (* -1/6 (* (* (pow th 7) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))> |
#<alt (* (pow th 7) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (/ (sin ky) (pow th 6)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))> |
#<alt (* (pow th 7) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (/ (sin ky) (pow th 6)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))> |
#<alt (* (pow th 7) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (/ (sin ky) (pow th 6)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))> |
#<alt (* 1/6 (* (* (pow th 6) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))> |
#<alt (* (pow th 6) (+ (* 1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (/ (sin ky) (pow th 5)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))> |
#<alt (* (pow th 6) (+ (* 1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (/ (sin ky) (pow th 5)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))> |
#<alt (* (pow th 6) (+ (* 1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (/ (sin ky) (pow th 5)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))> |
#<alt (* ky (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))> |
#<alt (* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))> |
#<alt (* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))))))))))))> |
#<alt (* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4))))))) (+ (* -1/12 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (+ (* -1/240 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* -1/5040 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))> |
#<alt (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))> |
#<alt (+ (* -2 (* (/ (* (pow kx 2) (sin ky)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))> |
#<alt (+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))> |
#<alt (+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 ky)> |
#<alt (* 2 kx)> |
#<alt (* 2 kx)> |
#<alt (* 2 kx)> |
#<alt (* 2 kx)> |
#<alt (* 2 kx)> |
#<alt (* 2 kx)> |
#<alt (* 2 kx)> |
#<alt (* 2 kx)> |
#<alt (* 2 kx)> |
#<alt (* 2 kx)> |
#<alt (* 2 kx)> |
#<alt (* 2 kx)> |
#<alt kx> |
#<alt kx> |
#<alt kx> |
#<alt kx> |
#<alt (pow kx 2)> |
#<alt (pow kx 2)> |
#<alt (pow kx 2)> |
#<alt (pow kx 2)> |
#<alt (pow kx 2)> |
#<alt (pow kx 2)> |
#<alt (pow kx 2)> |
#<alt (pow kx 2)> |
#<alt (* kx (* (sqrt 1/2) (sqrt 2)))> |
#<alt (* kx (+ (* -1/3 (/ (* (pow kx 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))))> |
#<alt (* kx (+ (* (sqrt 1/2) (sqrt 2)) (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))))> |
#<alt (* kx (+ (* (sqrt 1/2) (sqrt 2)) (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (sqrt 2))) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))))))> |
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))> |
#<alt (* -2 kx)> |
#<alt (* -2 kx)> |
#<alt (* -2 kx)> |
#<alt (* -2 kx)> |
#<alt kx> |
#<alt kx> |
#<alt kx> |
#<alt kx> |
#<alt (* -1 kx)> |
#<alt (* -1 kx)> |
#<alt (* -1 kx)> |
#<alt (* -1 kx)> |
#<alt 1> |
#<alt (+ 1 (* -2 (pow kx 2)))> |
#<alt (+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2)))> |
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2)))> |
#<alt (cos (* -2 kx))> |
#<alt (cos (* -2 kx))> |
#<alt (cos (* -2 kx))> |
#<alt (cos (* -2 kx))> |
#<alt (cos (* -2 kx))> |
#<alt (cos (* -2 kx))> |
#<alt (cos (* -2 kx))> |
#<alt (cos (* -2 kx))> |
#<alt th> |
#<alt (* th (+ 1 (* -1/6 th)))> |
#<alt (* th (+ 1 (* -1/6 th)))> |
#<alt (* th (+ 1 (* -1/6 th)))> |
#<alt (* -1/6 (pow th 4))> |
#<alt (* (pow th 4) (- (/ 1 (pow th 3)) 1/6))> |
#<alt (* (pow th 4) (- (/ 1 (pow th 3)) 1/6))> |
#<alt (* (pow th 4) (- (/ 1 (pow th 3)) 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 -1/2> |
#<alt (- (pow kx 2) 1/2)> |
#<alt (- (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) 1/2)> |
#<alt (- (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) 1/2)> |
#<alt (* -1/2 (cos (* 2 kx)))> |
#<alt (* -1/2 (cos (* 2 kx)))> |
#<alt (* -1/2 (cos (* 2 kx)))> |
#<alt (* -1/2 (cos (* 2 kx)))> |
#<alt (* -1/2 (cos (neg (* -2 kx))))> |
#<alt (* -1/2 (cos (neg (* -2 kx))))> |
#<alt (* -1/2 (cos (neg (* -2 kx))))> |
#<alt (* -1/2 (cos (neg (* -2 kx))))> |
#<alt th> |
#<alt th> |
#<alt th> |
#<alt th> |
#<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)> |
141 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | kx | @ | -inf | (* ky (* (sqrt (/ 1 (* kx (* kx kx)))) (+ (* ky (* ky (+ (* (* ky ky) 1/120) -1/6))) 1))) |
| 22.0ms | th | @ | 0 | (/ (sin th) (sqrt (+ (* (- 1 (cos (+ kx kx))) 1/2) (+ 1/2 (* -1/2 (cos (+ ky ky))))))) |
| 21.0ms | ky | @ | inf | (* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ 1/2 (* -1/2 (cos (+ kx kx))))))) (+ (* th (* -1/6 (* th th))) th)) |
| 18.0ms | ky | @ | 0 | (/ (/ (sqrt (* (- 1 (cos (* kx -2))) 1/2)) ky) (sin th)) |
| 9.0ms | kx | @ | 0 | (* (* ky (* (sqrt (/ 1 (* kx (* kx kx)))) (+ (* ky (* ky (+ (* (* ky ky) 1/120) -1/6))) 1))) (sin th)) |
Compiled 2 627 to 2 040 computations (22.3% saved)
| 1× | batch-egg-rewrite |
| 1 334× | lower-*.f32 |
| 1 304× | lower-*.f64 |
| 970× | lower-fma.f32 |
| 966× | lower-/.f32 |
| 962× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 321 |
| 0 | 102 | 309 |
| 1 | 383 | 294 |
| 0 | 3045 | 284 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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 (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 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 ky (*.f64 ky ky)) |
(*.f64 ky ky) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th))) |
(/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th)) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) |
(fma.f64 (-.f64 #s(literal 1 binary64) (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 kx kx))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) |
(+.f64 ky ky) |
(+.f64 kx kx) |
(*.f64 kx kx) |
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 kx #s(literal -2 binary64)) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))) |
(*.f64 th th) |
| Outputs |
|---|
(+.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 binary64) (cos.f64 (+.f64 kx kx)))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.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 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (-.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 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (-.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))))) |
(fma.f64 #s(literal 1/2 binary64) (-.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))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 #s(literal 1/2 binary64) (-.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) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 #s(literal 1 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 (fma.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) |
(fma.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 kx))))))) (/.f64 #s(literal 1 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 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) |
(fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (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)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.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 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 3 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)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (-.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 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (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)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.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 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #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 kx)))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 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 kx))))))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 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)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (-.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 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))) #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 kx kx))))) (/.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 kx)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) |
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(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th)) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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)))) (sin.f64 ky))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th)) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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)))))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 th (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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)))))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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))))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th))) |
(*.f64 (sin.f64 ky) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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))))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th)) |
(*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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 (sin.f64 ky) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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)))))) |
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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))))))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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)))) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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)))) (sin.f64 ky)) #s(literal 1 binary64))) |
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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)))) (sin.f64 ky)))) |
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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 (sin.f64 ky) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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))))) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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)))) (sin.f64 ky)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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))))) (sin.f64 ky)) |
(+.f64 kx kx) |
(+.f64 ky ky) |
(-.f64 (/.f64 (*.f64 ky ky) #s(literal 0 binary64)) (/.f64 (*.f64 ky ky) #s(literal 0 binary64))) |
(-.f64 (/.f64 (*.f64 kx kx) #s(literal 0 binary64)) (/.f64 (*.f64 kx kx) #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 kx kx)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 ky ky #s(literal 0 binary64)) (*.f64 (*.f64 ky ky) (+.f64 kx kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 kx kx #s(literal 0 binary64)) (*.f64 (*.f64 kx kx) (+.f64 kx kx)))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 ky ky) (+.f64 kx kx)) (fma.f64 ky ky #s(literal 0 binary64))) |
(/.f64 (*.f64 (*.f64 kx kx) (+.f64 kx kx)) (fma.f64 kx kx #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 ky ky) (+.f64 kx kx))) (neg.f64 (fma.f64 ky ky #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 kx kx) (+.f64 kx kx))) (neg.f64 (fma.f64 kx kx #s(literal 0 binary64)))) |
(*.f64 kx #s(literal 2 binary64)) |
(*.f64 ky #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) kx) |
(*.f64 #s(literal 2 binary64) ky) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) |
(*.f64 (*.f64 (*.f64 ky ky) (+.f64 kx kx)) (/.f64 #s(literal 1 binary64) (fma.f64 ky ky #s(literal 0 binary64)))) |
(*.f64 (*.f64 (*.f64 kx kx) (+.f64 kx kx)) (/.f64 #s(literal 1 binary64) (fma.f64 kx kx #s(literal 0 binary64)))) |
(+.f64 kx kx) |
(+.f64 ky ky) |
(-.f64 (/.f64 (*.f64 ky ky) #s(literal 0 binary64)) (/.f64 (*.f64 ky ky) #s(literal 0 binary64))) |
(-.f64 (/.f64 (*.f64 kx kx) #s(literal 0 binary64)) (/.f64 (*.f64 kx kx) #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 kx kx)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 ky ky #s(literal 0 binary64)) (*.f64 (*.f64 ky ky) (+.f64 kx kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 kx kx #s(literal 0 binary64)) (*.f64 (*.f64 kx kx) (+.f64 kx kx)))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 ky ky) (+.f64 kx kx)) (fma.f64 ky ky #s(literal 0 binary64))) |
(/.f64 (*.f64 (*.f64 kx kx) (+.f64 kx kx)) (fma.f64 kx kx #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 ky ky) (+.f64 kx kx))) (neg.f64 (fma.f64 ky ky #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 kx kx) (+.f64 kx kx))) (neg.f64 (fma.f64 kx kx #s(literal 0 binary64)))) |
(*.f64 kx #s(literal 2 binary64)) |
(*.f64 ky #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) kx) |
(*.f64 #s(literal 2 binary64) ky) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) |
(*.f64 (*.f64 (*.f64 ky ky) (+.f64 kx kx)) (/.f64 #s(literal 1 binary64) (fma.f64 ky ky #s(literal 0 binary64)))) |
(*.f64 (*.f64 (*.f64 kx kx) (+.f64 kx kx)) (/.f64 #s(literal 1 binary64) (fma.f64 kx kx #s(literal 0 binary64)))) |
(exp.f64 (*.f64 (log.f64 kx) #s(literal 2 binary64))) |
(pow.f64 kx #s(literal 2 binary64)) |
(*.f64 kx kx) |
(*.f64 (pow.f64 kx #s(literal 1 binary64)) (pow.f64 kx #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) #s(literal 1/2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.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))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) #s(literal 1/4 binary64))) |
(*.f64 kx #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) kx) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) |
(*.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1 binary64)) |
(+.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) |
(-.f64 (/.f64 (*.f64 th (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 (*.f64 th th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))) |
(fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) |
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th) |
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th) |
(fma.f64 (*.f64 th (*.f64 th th)) #s(literal -1/6 binary64) th) |
(fma.f64 (*.f64 th #s(literal -1/6 binary64)) (*.f64 th th) th) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 th (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))) |
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 th (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))) |
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (fma.f64 th th (-.f64 (*.f64 th (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))))) |
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th)))) (neg.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 th (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))) (neg.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))) |
(/.f64 (-.f64 (*.f64 th th) (*.f64 th (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) |
(*.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 th (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))) |
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))) |
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))) |
(*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) |
(pow.f64 th #s(literal 2 binary64)) |
(*.f64 th th) |
(*.f64 (pow.f64 th #s(literal 1 binary64)) (pow.f64 th #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 7 592× | lower-fma.f64 |
| 7 592× | lower-fma.f32 |
| 7 128× | lower-*.f64 |
| 7 128× | lower-*.f32 |
| 5 922× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1017 | 12702 |
| 1 | 3282 | 11950 |
| 0 | 8394 | 11166 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 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)))))) |
(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))))) |
(* (* 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))))))))) |
(/ th (pow ky 2)) |
(/ th (pow ky 2)) |
(/ th (pow ky 2)) |
(/ th (pow ky 2)) |
(/ th (pow ky 3)) |
(/ th (pow ky 3)) |
(/ th (pow ky 3)) |
(/ th (pow ky 3)) |
(/ th (pow ky 3)) |
(/ th (pow ky 3)) |
(/ th (pow ky 3)) |
(/ th (pow ky 3)) |
(/ th (pow ky 2)) |
(/ th (pow ky 2)) |
(/ th (pow ky 2)) |
(/ th (pow ky 2)) |
(/ th (pow ky 2)) |
(/ th (pow ky 2)) |
(/ th (pow ky 2)) |
(/ th (pow ky 2)) |
(/ th (pow ky 3)) |
(/ th (pow ky 3)) |
(/ th (pow ky 3)) |
(/ th (pow ky 3)) |
ky |
ky |
ky |
ky |
(pow ky 2) |
(pow ky 2) |
(pow ky 2) |
(pow ky 2) |
(pow ky 2) |
(pow ky 2) |
(pow ky 2) |
(pow ky 2) |
ky |
ky |
ky |
ky |
(pow ky 2) |
(pow ky 2) |
(pow ky 2) |
(pow ky 2) |
(pow ky 2) |
(pow ky 2) |
(pow ky 2) |
(pow ky 2) |
(/ (* ky (sin th)) (pow kx 2)) |
(/ (* ky (sin th)) (pow kx 2)) |
(* ky (+ (* -1/6 (/ (* (pow ky 9) (sin th)) (pow kx 2))) (/ (sin th) (pow kx 2)))) |
(* ky (+ (* -1/6 (/ (* (pow ky 9) (sin th)) (pow kx 2))) (/ (sin th) (pow kx 2)))) |
(* -1/6 (/ (* (pow ky 16) (sin th)) (pow kx 2))) |
(* (pow ky 16) (+ (* -1/6 (/ (sin th) (pow kx 2))) (* 1/120 (/ (sin th) (* (pow kx 2) (pow ky 5)))))) |
(* (pow ky 16) (+ (* -1/6 (/ (sin th) (pow kx 2))) (* 1/120 (/ (sin th) (* (pow kx 2) (pow ky 5)))))) |
(* (pow ky 16) (+ (* -1/6 (/ (sin th) (pow kx 2))) (+ (* 1/120 (/ (sin th) (* (pow kx 2) (pow ky 5)))) (/ (sin th) (* (pow kx 2) (pow ky 15)))))) |
(* -1/6 (* (sqrt (/ 1 (pow kx 5))) (* (pow ky 17) (sin th)))) |
(* -1 (* (pow ky 17) (+ (* 1/120 (* (sqrt (/ 1 (pow kx 5))) (/ (sin th) (pow ky 5)))) (* 1/6 (* (sqrt (/ 1 (pow kx 5))) (sin th)))))) |
(* -1 (* (pow ky 17) (+ (* 1/120 (* (sqrt (/ 1 (pow kx 5))) (/ (sin th) (pow ky 5)))) (* 1/6 (* (sqrt (/ 1 (pow kx 5))) (sin th)))))) |
(* -1 (* (pow ky 17) (+ (* -1 (/ (+ (* -1/120 (* (sqrt (/ 1 (pow kx 5))) (sin th))) (* (sqrt (/ 1 (pow kx 5))) (/ (sin th) (pow ky 11)))) (pow ky 5))) (* 1/6 (* (sqrt (/ 1 (pow kx 5))) (sin th)))))) |
(/ (* ky (* (sin th) (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6))))) (pow kx 2)) |
(/ (* ky (* (sin th) (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6))))) (pow kx 2)) |
(/ (* ky (* (sin th) (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6))))) (pow kx 2)) |
(/ (* ky (* (sin th) (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6))))) (pow kx 2)) |
(* (sqrt (/ 1 (pow kx 3))) (* ky (* (sin th) (+ 1 (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6)))))) |
(* (sqrt (/ 1 (pow kx 3))) (* ky (* (sin th) (+ 1 (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6)))))) |
(* (sqrt (/ 1 (pow kx 3))) (* ky (* (sin th) (+ 1 (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6)))))) |
(* (sqrt (/ 1 (pow kx 3))) (* ky (* (sin th) (+ 1 (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6)))))) |
(* -1 (* (sqrt (/ 1 (pow kx 3))) (* ky (* (sin th) (* (pow (sqrt -1) 2) (+ 1 (* (pow ky 10) (- (* 1/120 (pow ky 10)) 1/6)))))))) |
(* -1 (* (sqrt (/ 1 (pow kx 3))) (* ky (* (sin th) (* (pow (sqrt -1) 2) (+ 1 (* (pow ky 10) (- (* 1/120 (pow ky 10)) 1/6)))))))) |
(* -1 (* (sqrt (/ 1 (pow kx 3))) (* ky (* (sin th) (* (pow (sqrt -1) 2) (+ 1 (* (pow ky 10) (- (* 1/120 (pow ky 10)) 1/6)))))))) |
(* -1 (* (sqrt (/ 1 (pow kx 3))) (* ky (* (sin th) (* (pow (sqrt -1) 2) (+ 1 (* (pow ky 10) (- (* 1/120 (pow ky 10)) 1/6)))))))) |
(/ (* ky (* th (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6))))) (pow kx 2)) |
(* th (+ (* -1/6 (/ (* ky (* (pow th 2) (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6))))) (pow kx 2))) (/ (* ky (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6)))) (pow kx 2)))) |
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* ky (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6)))) (pow kx 2))) (* 1/120 (/ (* ky (* (pow th 2) (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6))))) (pow kx 2))))) (/ (* ky (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6)))) (pow kx 2)))) |
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* ky (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6)))) (pow kx 2))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (* (pow th 2) (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6))))) (pow kx 2))) (* 1/120 (/ (* ky (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6)))) (pow kx 2))))))) (/ (* ky (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6)))) (pow kx 2)))) |
(/ (* ky (* (sin th) (+ 1 (* (pow ky 10) (- (* 1/120 (pow ky 10)) 1/6))))) (pow kx 2)) |
(/ (* ky (* (sin th) (+ 1 (* (pow ky 10) (- (* 1/120 (pow ky 10)) 1/6))))) (pow kx 2)) |
(/ (* ky (* (sin th) (+ 1 (* (pow ky 10) (- (* 1/120 (pow ky 10)) 1/6))))) (pow kx 2)) |
(/ (* ky (* (sin th) (+ 1 (* (pow ky 10) (- (* 1/120 (pow ky 10)) 1/6))))) (pow kx 2)) |
(/ (* ky (* (sin th) (+ 1 (* (pow ky 11) (- (* 1/120 (pow ky 11)) 1/6))))) (pow kx 2)) |
(/ (* ky (* (sin th) (+ 1 (* (pow ky 11) (- (* 1/120 (pow ky 11)) 1/6))))) (pow kx 2)) |
(/ (* ky (* (sin th) (+ 1 (* (pow ky 11) (- (* 1/120 (pow ky 11)) 1/6))))) (pow kx 2)) |
(/ (* ky (* (sin th) (+ 1 (* (pow ky 11) (- (* 1/120 (pow ky 11)) 1/6))))) (pow kx 2)) |
(* (sqrt (/ 1 (pow kx 3))) ky) |
(* (sqrt (/ 1 (pow kx 3))) ky) |
(* ky (+ (sqrt (/ 1 (pow kx 3))) (* -1/6 (* (sqrt (/ 1 (pow kx 3))) (pow ky 7))))) |
(* ky (+ (sqrt (/ 1 (pow kx 3))) (* -1/6 (* (sqrt (/ 1 (pow kx 3))) (pow ky 7))))) |
(* -1/6 (* (sqrt (/ 1 (pow kx 3))) (pow ky 14))) |
(* (pow ky 14) (+ (* -1/6 (sqrt (/ 1 (pow kx 3)))) (* 1/120 (* (sqrt (/ 1 (pow kx 3))) (/ 1 (pow ky 5)))))) |
(* (pow ky 14) (+ (* -1/6 (sqrt (/ 1 (pow kx 3)))) (* 1/120 (* (sqrt (/ 1 (pow kx 3))) (/ 1 (pow ky 5)))))) |
(* (pow ky 14) (+ (* -1/6 (sqrt (/ 1 (pow kx 3)))) (+ (* 1/120 (* (sqrt (/ 1 (pow kx 3))) (/ 1 (pow ky 5)))) (* (sqrt (/ 1 (pow kx 3))) (/ 1 (pow ky 13)))))) |
(* -1/6 (/ (pow ky 15) (pow kx 2))) |
(* -1 (* (pow ky 15) (+ (* 1/120 (/ 1 (* (pow kx 2) (pow ky 5)))) (* 1/6 (/ 1 (pow kx 2)))))) |
(* -1 (* (pow ky 15) (+ (* 1/120 (/ 1 (* (pow kx 2) (pow ky 5)))) (* 1/6 (/ 1 (pow kx 2)))))) |
(* -1 (* (pow ky 15) (+ (* -1 (/ (- (/ 1 (* (pow kx 2) (pow ky 9))) (* 1/120 (/ 1 (pow kx 2)))) (pow ky 5))) (* 1/6 (/ 1 (pow kx 2)))))) |
(* (sqrt (/ 1 (pow kx 3))) (* ky (+ 1 (* (pow ky 7) (- (* 1/120 (pow ky 7)) 1/6))))) |
(* (sqrt (/ 1 (pow kx 3))) (* ky (+ 1 (* (pow ky 7) (- (* 1/120 (pow ky 7)) 1/6))))) |
(* (sqrt (/ 1 (pow kx 3))) (* ky (+ 1 (* (pow ky 7) (- (* 1/120 (pow ky 7)) 1/6))))) |
(* (sqrt (/ 1 (pow kx 3))) (* ky (+ 1 (* (pow ky 7) (- (* 1/120 (pow ky 7)) 1/6))))) |
(/ (* ky (+ 1 (* (pow ky 6) (- (* 1/120 (pow ky 6)) 1/6)))) kx) |
(/ (* ky (+ 1 (* (pow ky 6) (- (* 1/120 (pow ky 6)) 1/6)))) kx) |
(/ (* ky (+ 1 (* (pow ky 6) (- (* 1/120 (pow ky 6)) 1/6)))) kx) |
(/ (* ky (+ 1 (* (pow ky 6) (- (* 1/120 (pow ky 6)) 1/6)))) kx) |
(* -1 (/ (* ky (* (sqrt -1) (+ 1 (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6))))) kx)) |
(* -1 (/ (* ky (* (sqrt -1) (+ 1 (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6))))) kx)) |
(* -1 (/ (* ky (* (sqrt -1) (+ 1 (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6))))) kx)) |
(* -1 (/ (* ky (* (sqrt -1) (+ 1 (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6))))) kx)) |
(* (sqrt (/ 1 (pow kx 3))) (+ 1 (* (pow ky 7) (- (* 1/120 (pow ky 7)) 1/6)))) |
(* (sqrt (/ 1 (pow kx 3))) (+ 1 (* (pow ky 7) (- (* 1/120 (pow ky 7)) 1/6)))) |
(* (sqrt (/ 1 (pow kx 3))) (+ 1 (* (pow ky 7) (- (* 1/120 (pow ky 7)) 1/6)))) |
(* (sqrt (/ 1 (pow kx 3))) (+ 1 (* (pow ky 7) (- (* 1/120 (pow ky 7)) 1/6)))) |
(/ (+ 1 (* (pow ky 6) (- (* 1/120 (pow ky 6)) 1/6))) kx) |
(/ (+ 1 (* (pow ky 6) (- (* 1/120 (pow ky 6)) 1/6))) kx) |
(/ (+ 1 (* (pow ky 6) (- (* 1/120 (pow ky 6)) 1/6))) kx) |
(/ (+ 1 (* (pow ky 6) (- (* 1/120 (pow ky 6)) 1/6))) kx) |
(* -1 (/ (* (sqrt -1) (+ 1 (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6)))) kx)) |
(* -1 (/ (* (sqrt -1) (+ 1 (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6)))) kx)) |
(* -1 (/ (* (sqrt -1) (+ 1 (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6)))) kx)) |
(* -1 (/ (* (sqrt -1) (+ 1 (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6)))) kx)) |
(sqrt (/ 1 (pow kx 3))) |
(sqrt (/ 1 (pow kx 3))) |
(+ (sqrt (/ 1 (pow kx 3))) (* -1/6 (* (sqrt (/ 1 (pow kx 3))) (pow ky 7)))) |
(+ (sqrt (/ 1 (pow kx 3))) (* -1/6 (* (sqrt (/ 1 (pow kx 3))) (pow ky 7)))) |
(* -1/6 (* (sqrt (/ 1 (pow kx 3))) (pow ky 13))) |
(* (pow ky 13) (+ (* -1/6 (sqrt (/ 1 (pow kx 3)))) (* 1/120 (* (sqrt (/ 1 (pow kx 3))) (/ 1 (pow ky 5)))))) |
(* (pow ky 13) (+ (* -1/6 (sqrt (/ 1 (pow kx 3)))) (* 1/120 (* (sqrt (/ 1 (pow kx 3))) (/ 1 (pow ky 5)))))) |
(* (pow ky 13) (+ (* -1/6 (sqrt (/ 1 (pow kx 3)))) (+ (* 1/120 (* (sqrt (/ 1 (pow kx 3))) (/ 1 (pow ky 5)))) (* (sqrt (/ 1 (pow kx 3))) (/ 1 (pow ky 13)))))) |
(* 1/6 (* (sqrt (/ 1 (pow kx 3))) (pow ky 13))) |
(* -1 (* (pow ky 13) (+ (* -1/6 (sqrt (/ 1 (pow kx 3)))) (* -1/120 (* (sqrt (/ 1 (pow kx 3))) (/ 1 (pow ky 5))))))) |
(* -1 (* (pow ky 13) (+ (* -1/6 (sqrt (/ 1 (pow kx 3)))) (* -1/120 (* (sqrt (/ 1 (pow kx 3))) (/ 1 (pow ky 5))))))) |
(* -1 (* (pow ky 13) (+ (* -1 (/ (+ (* 1/120 (sqrt (/ 1 (pow kx 3)))) (* (sqrt (/ 1 (pow kx 3))) (/ 1 (pow ky 8)))) (pow ky 5))) (* -1/6 (sqrt (/ 1 (pow kx 3))))))) |
(/ 1 kx) |
(/ 1 kx) |
(/ 1 kx) |
(/ 1 kx) |
(sqrt (/ 1 kx)) |
(sqrt (/ 1 kx)) |
(sqrt (/ 1 kx)) |
(sqrt (/ 1 kx)) |
(* (sqrt (/ 1 kx)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 kx)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 kx)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 kx)) (pow (sqrt -1) 2)) |
(/ (* ky (sin th)) kx) |
(/ (+ (* 1/12 (/ (* (pow kx 2) (* ky (sin th))) (pow (sqrt 1/2) 2))) (* ky (sin th))) kx) |
(/ (+ (* ky (sin th)) (* (pow kx 2) (+ (* 1/12 (/ (* ky (sin th)) (pow (sqrt 1/2) 2))) (* 1/2 (/ (* (pow kx 2) (* ky (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (pow (sqrt 1/2) 2)))))) kx) |
(/ (+ (* ky (sin th)) (* (pow kx 2) (+ (* 1/12 (/ (* ky (sin th)) (pow (sqrt 1/2) 2))) (* (pow kx 2) (+ (* 1/2 (/ (* ky (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))) (pow (sqrt 1/2) 2))) (* 1/2 (/ (* (pow kx 2) (* ky (* (sin th) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))))) (pow (sqrt 1/2) 2)))))))) kx) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* th (+ (* -1/6 (* (/ (* ky (pow th 2)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))) |
(* th (+ (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (* ky (pow th 2)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))))) |
(* th (+ (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/5040 (* (/ (* ky (pow th 2)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(/ (* kx (* (sqrt 1/2) (sqrt 2))) (* ky (sin th))) |
(* kx (+ (* -1/3 (/ (* (pow kx 2) (sqrt 1/2)) (* ky (* (sin th) (sqrt 2))))) (/ (* (sqrt 1/2) (sqrt 2)) (* ky (sin th))))) |
(* kx (+ (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (* ky (* (sin th) (sqrt 2))))) (* 1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))))) (* ky (* (sin th) (sqrt 2))))))) (/ (* (sqrt 1/2) (sqrt 2)) (* ky (sin th))))) |
(* kx (+ (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (* ky (* (sin th) (sqrt 2))))) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (* ky (* (sin th) (sqrt 2))))) (* 1/2 (/ (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (* ky (* (sin th) (sqrt 2))))))))) (/ (* (sqrt 1/2) (sqrt 2)) (* ky (sin th))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky th)) (sqrt (- 1 (cos (* -2 kx))))) |
(/ (+ (* 1/6 (* (/ (* (pow th 2) (sqrt 1/2)) ky) (sqrt (- 1 (cos (* -2 kx)))))) (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx)))))) th) |
(/ (+ (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) (* (pow th 2) (+ (* -1 (* (* (pow th 2) (+ (* -1/36 (/ (sqrt 1/2) ky)) (* 1/120 (/ (sqrt 1/2) ky)))) (sqrt (- 1 (cos (* -2 kx)))))) (* 1/6 (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))))))) th) |
(/ (+ (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) (* (pow th 2) (+ (* 1/6 (* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1 (* (* (pow th 2) (+ (* -1/5040 (/ (sqrt 1/2) ky)) (+ (* 1/720 (/ (sqrt 1/2) ky)) (* 1/6 (+ (* -1/36 (/ (sqrt 1/2) ky)) (* 1/120 (/ (sqrt 1/2) ky))))))) (sqrt (- 1 (cos (* -2 kx)))))) (* -1 (* (+ (* -1/36 (/ (sqrt 1/2) ky)) (* 1/120 (/ (sqrt 1/2) ky))) (sqrt (- 1 (cos (* -2 kx))))))))))) th) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) (* ky (sin th))) (sqrt (- 1 (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 (cos (* -2 kx)))) |
(* 1/2 (- 1 (cos (* -2 kx)))) |
(* 1/2 (- 1 (cos (* -2 kx)))) |
(* 1/2 (- 1 (cos (* -2 kx)))) |
(* 1/2 (- 1 (cos (* -2 kx)))) |
(* 1/2 (- 1 (cos (* -2 kx)))) |
(* 1/2 (- 1 (cos (* -2 kx)))) |
(* 1/2 (- 1 (cos (* -2 kx)))) |
(/ (* kx (* (sqrt 1/2) (sqrt 2))) ky) |
(* kx (+ (* -1/3 (/ (* (pow kx 2) (sqrt 1/2)) (* ky (sqrt 2)))) (/ (* (sqrt 1/2) (sqrt 2)) ky))) |
(* kx (+ (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (* ky (sqrt 2)))) (* 1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))))) (* ky (sqrt 2)))))) (/ (* (sqrt 1/2) (sqrt 2)) ky))) |
(* kx (+ (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (* ky (sqrt 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (* ky (sqrt 2)))) (* 1/2 (/ (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (* ky (sqrt 2)))))))) (/ (* (sqrt 1/2) (sqrt 2)) ky))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(+ 1/2 (* -1/2 (cos (* 2 kx)))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))))) |
(+ 1/2 (+ (* -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 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))) |
(* 1/2 (- 1 (cos (* 2 ky)))) |
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 2)) |
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))) |
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(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))))) |
(* (* ky (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) |
(* ky (+ (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5)))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (+ th (* -1/6 (pow th 5))))) (* -1/6 (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5))))))))) |
(* ky (+ (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5)))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (+ th (* -1/6 (pow th 5))))) (+ (* -1/6 (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5))))) (+ (* 1/12 (* (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (+ th (* -1/6 (pow th 5))))) (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (+ th (* -1/6 (pow th 5))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))))))))))))) |
(* ky (+ (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5)))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (+ th (* -1/6 (pow th 5))))) (+ (* -1/6 (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5))))) (+ (* 1/12 (* (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (+ th (* -1/6 (pow th 5))))) (+ (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (+ th (* -1/6 (pow th 5))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (+ th (* -1/6 (pow th 5))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4)))))))) (+ (* -1/12 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (+ th (* -1/6 (pow th 5))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))))) (+ (* -1/240 (* (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (+ th (* -1/6 (pow th 5))))) (* -1/5040 (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5)))))))))))))))))) |
(* (* (sin ky) (+ th (* -1/6 (pow th 7)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (+ th (* -1/6 (pow th 7)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (+ th (* -1/6 (pow th 7)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (+ th (* -1/6 (pow th 7)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (+ th (* -1/6 (pow th 7)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(* (* (sin ky) (+ th (* -1/6 (pow th 7)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(* (* (sin ky) (+ th (* -1/6 (pow th 7)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(* (* (sin ky) (+ th (* -1/6 (pow th 7)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(* (* (sin ky) (* (sqrt 2) (+ th (* -1/6 (pow th 5))))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) |
(+ (* -2 (* (/ (* (pow kx 2) (* (sin ky) (+ th (* -1/6 (pow th 5))))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (* (sqrt 2) (+ th (* -1/6 (pow th 5))))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(+ (* (* (sin ky) (* (sqrt 2) (+ th (* -1/6 (pow th 5))))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (+ th (* -1/6 (pow th 5))) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky))))))))) |
(+ (* (* (sin ky) (* (sqrt 2) (+ th (* -1/6 (pow th 5))))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (+ th (* -1/6 (pow th 5))) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (* (+ th (* -1/6 (pow th 5))) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky))))))))))) |
(* (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* th (+ (* -1/6 (* (* (pow th 4) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))) |
(* th (+ (* -1/6 (* (* (pow th 4) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))) |
(* th (+ (* -1/6 (* (* (pow th 4) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))) |
(* -1/6 (* (* (pow th 7) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) |
(* (pow th 7) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (/ (sin ky) (pow th 6)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))) |
(* (pow th 7) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (/ (sin ky) (pow th 6)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))) |
(* (pow th 7) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (/ (sin ky) (pow th 6)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))) |
(* 1/6 (* (* (pow th 6) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) |
(* (pow th 6) (+ (* 1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (/ (sin ky) (pow th 5)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))) |
(* (pow th 6) (+ (* 1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (/ (sin ky) (pow th 5)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))) |
(* (pow th 6) (+ (* 1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (/ (sin ky) (pow th 5)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))) |
(* ky (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) |
(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))) |
(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))))))))))) |
(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4))))))) (+ (* -1/12 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (+ (* -1/240 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* -1/5040 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) |
(+ (* -2 (* (/ (* (pow kx 2) (sin ky)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky))))))))) |
(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky))))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 ky) |
(* 2 kx) |
(* 2 kx) |
(* 2 kx) |
(* 2 kx) |
(* 2 kx) |
(* 2 kx) |
(* 2 kx) |
(* 2 kx) |
(* 2 kx) |
(* 2 kx) |
(* 2 kx) |
(* 2 kx) |
kx |
kx |
kx |
kx |
(pow kx 2) |
(pow kx 2) |
(pow kx 2) |
(pow kx 2) |
(pow kx 2) |
(pow kx 2) |
(pow kx 2) |
(pow kx 2) |
(* kx (* (sqrt 1/2) (sqrt 2))) |
(* kx (+ (* -1/3 (/ (* (pow kx 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))) |
(* kx (+ (* (sqrt 1/2) (sqrt 2)) (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))) |
(* kx (+ (* (sqrt 1/2) (sqrt 2)) (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (sqrt 2))) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))) |
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx))))) |
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx))))) |
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx))))) |
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx))))) |
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx))))) |
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx))))) |
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx))))) |
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx))))) |
(* -2 kx) |
(* -2 kx) |
(* -2 kx) |
(* -2 kx) |
kx |
kx |
kx |
kx |
(* -1 kx) |
(* -1 kx) |
(* -1 kx) |
(* -1 kx) |
1 |
(+ 1 (* -2 (pow kx 2))) |
(+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))) |
(cos (* -2 kx)) |
(cos (* -2 kx)) |
(cos (* -2 kx)) |
(cos (* -2 kx)) |
(cos (* -2 kx)) |
(cos (* -2 kx)) |
(cos (* -2 kx)) |
(cos (* -2 kx)) |
th |
(* th (+ 1 (* -1/6 th))) |
(* th (+ 1 (* -1/6 th))) |
(* th (+ 1 (* -1/6 th))) |
(* -1/6 (pow th 4)) |
(* (pow th 4) (- (/ 1 (pow th 3)) 1/6)) |
(* (pow th 4) (- (/ 1 (pow th 3)) 1/6)) |
(* (pow th 4) (- (/ 1 (pow th 3)) 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))))) |
-1/2 |
(- (pow kx 2) 1/2) |
(- (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) 1/2) |
(- (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) 1/2) |
(* -1/2 (cos (* 2 kx))) |
(* -1/2 (cos (* 2 kx))) |
(* -1/2 (cos (* 2 kx))) |
(* -1/2 (cos (* 2 kx))) |
(* -1/2 (cos (neg (* -2 kx)))) |
(* -1/2 (cos (neg (* -2 kx)))) |
(* -1/2 (cos (neg (* -2 kx)))) |
(* -1/2 (cos (neg (* -2 kx)))) |
th |
th |
th |
th |
(pow th 2) |
(pow th 2) |
(pow th 2) |
(pow th 2) |
(pow th 2) |
(pow th 2) |
(pow th 2) |
(pow th 2) |
| Outputs |
|---|
(+ 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 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))) |
(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))) |
(* 1/2 (- 1 (cos (* 2 kx)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) |
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)) |
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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))) |
(+ 1/2 (+ (* -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)))))) |
(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))) |
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))) |
(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 #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)) |
(* (* 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))))))))) |
(*.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) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.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) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.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) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.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) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.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) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.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) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.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) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
(*.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) (sin.f64 th))) |
(* (* (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))))) (* 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))))))))) |
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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 (neg (* -2 kx)))))))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))) |
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(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
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(* 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))))))))))) |
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(* 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)))))))))))))) |
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(* 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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(* (* (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 (neg (* -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 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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(* (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 (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
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(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
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(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
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(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))) |
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(/ th (pow ky 2)) |
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(/ th (pow ky 3)) |
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ky |
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(* ky (+ (* -1/6 (/ (* (pow ky 9) (sin th)) (pow kx 2))) (/ (sin th) (pow kx 2)))) |
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(* ky (+ (* -1/6 (/ (* (pow ky 9) (sin th)) (pow kx 2))) (/ (sin th) (pow kx 2)))) |
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(* -1/6 (/ (* (pow ky 16) (sin th)) (pow kx 2))) |
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(* (pow ky 16) (+ (* -1/6 (/ (sin th) (pow kx 2))) (* 1/120 (/ (sin th) (* (pow kx 2) (pow ky 5)))))) |
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(* (pow ky 16) (+ (* -1/6 (/ (sin th) (pow kx 2))) (* 1/120 (/ (sin th) (* (pow kx 2) (pow ky 5)))))) |
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(* (pow ky 16) (+ (* -1/6 (/ (sin th) (pow kx 2))) (+ (* 1/120 (/ (sin th) (* (pow kx 2) (pow ky 5)))) (/ (sin th) (* (pow kx 2) (pow ky 15)))))) |
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(* -1/6 (* (sqrt (/ 1 (pow kx 5))) (* (pow ky 17) (sin th)))) |
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(* -1 (* (pow ky 17) (+ (* 1/120 (* (sqrt (/ 1 (pow kx 5))) (/ (sin th) (pow ky 5)))) (* 1/6 (* (sqrt (/ 1 (pow kx 5))) (sin th)))))) |
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(* -1 (* (pow ky 17) (+ (* 1/120 (* (sqrt (/ 1 (pow kx 5))) (/ (sin th) (pow ky 5)))) (* 1/6 (* (sqrt (/ 1 (pow kx 5))) (sin th)))))) |
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(* -1 (* (pow ky 17) (+ (* -1 (/ (+ (* -1/120 (* (sqrt (/ 1 (pow kx 5))) (sin th))) (* (sqrt (/ 1 (pow kx 5))) (/ (sin th) (pow ky 11)))) (pow ky 5))) (* 1/6 (* (sqrt (/ 1 (pow kx 5))) (sin th)))))) |
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(/ (* ky (* (sin th) (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6))))) (pow kx 2)) |
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(/ (* ky (* (sin th) (+ 1 (* (pow ky 9) (- (* 1/120 (pow ky 9)) 1/6))))) (pow kx 2)) |
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(* (sqrt (/ 1 (pow kx 3))) (* ky (* (sin th) (+ 1 (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6)))))) |
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(* (sqrt (/ 1 (pow kx 3))) (* ky (* (sin th) (+ 1 (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6)))))) |
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(* (sqrt (/ 1 (pow kx 3))) (* ky (* (sin th) (+ 1 (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6)))))) |
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(* (sqrt (/ 1 (pow kx 3))) (* ky (* (sin th) (+ 1 (* (pow ky 8) (- (* 1/120 (pow ky 8)) 1/6)))))) |
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(* -1 (* (sqrt (/ 1 (pow kx 3))) (* ky (* (sin th) (* (pow (sqrt -1) 2) (+ 1 (* (pow ky 10) (- (* 1/120 (pow ky 10)) 1/6)))))))) |
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(* -1 (* (sqrt (/ 1 (pow kx 3))) (* ky (* (sin th) (* (pow (sqrt -1) 2) (+ 1 (* (pow ky 10) (- (* 1/120 (pow ky 10)) 1/6)))))))) |
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(fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx))))) (pow.f64 ky #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx))))) |
(+ (sqrt (/ 1 (pow kx 3))) (* -1/6 (* (sqrt (/ 1 (pow kx 3))) (pow ky 7)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx))))) (pow.f64 ky #s(literal 7 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx))))) |
(* -1/6 (* (sqrt (/ 1 (pow kx 3))) (pow ky 13))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (pow.f64 ky #s(literal 13 binary64)))) |
(* (pow ky 13) (+ (* -1/6 (sqrt (/ 1 (pow kx 3)))) (* 1/120 (* (sqrt (/ 1 (pow kx 3))) (/ 1 (pow ky 5)))))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (pow.f64 ky #s(literal 5 binary64))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))))) (pow.f64 ky #s(literal 13 binary64))) |
(* (pow ky 13) (+ (* -1/6 (sqrt (/ 1 (pow kx 3)))) (* 1/120 (* (sqrt (/ 1 (pow kx 3))) (/ 1 (pow ky 5)))))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (pow.f64 ky #s(literal 5 binary64))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))))) (pow.f64 ky #s(literal 13 binary64))) |
(* (pow ky 13) (+ (* -1/6 (sqrt (/ 1 (pow kx 3)))) (+ (* 1/120 (* (sqrt (/ 1 (pow kx 3))) (/ 1 (pow ky 5)))) (* (sqrt (/ 1 (pow kx 3))) (/ 1 (pow ky 13)))))) |
(*.f64 (pow.f64 ky #s(literal 13 binary64)) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (pow.f64 ky #s(literal 5 binary64))) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (pow.f64 ky #s(literal 13 binary64)))))) |
(* 1/6 (* (sqrt (/ 1 (pow kx 3))) (pow ky 13))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (pow.f64 ky #s(literal 13 binary64)))) |
(* -1 (* (pow ky 13) (+ (* -1/6 (sqrt (/ 1 (pow kx 3)))) (* -1/120 (* (sqrt (/ 1 (pow kx 3))) (/ 1 (pow ky 5))))))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (pow.f64 ky #s(literal 5 binary64))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))))) (neg.f64 (pow.f64 ky #s(literal 13 binary64)))) |
(* -1 (* (pow ky 13) (+ (* -1/6 (sqrt (/ 1 (pow kx 3)))) (* -1/120 (* (sqrt (/ 1 (pow kx 3))) (/ 1 (pow ky 5))))))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (pow.f64 ky #s(literal 5 binary64))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))))) (neg.f64 (pow.f64 ky #s(literal 13 binary64)))) |
(* -1 (* (pow ky 13) (+ (* -1 (/ (+ (* 1/120 (sqrt (/ 1 (pow kx 3)))) (* (sqrt (/ 1 (pow kx 3))) (/ 1 (pow ky 8)))) (pow ky 5))) (* -1/6 (sqrt (/ 1 (pow kx 3))))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 8 binary64))))) (neg.f64 (pow.f64 ky #s(literal 5 binary64))))) (neg.f64 (pow.f64 ky #s(literal 13 binary64)))) |
(/ 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) |
(sqrt (/ 1 kx)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) |
(sqrt (/ 1 kx)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) |
(sqrt (/ 1 kx)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) |
(sqrt (/ 1 kx)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) |
(* (sqrt (/ 1 kx)) (pow (sqrt -1) 2)) |
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) |
(* (sqrt (/ 1 kx)) (pow (sqrt -1) 2)) |
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) |
(* (sqrt (/ 1 kx)) (pow (sqrt -1) 2)) |
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) |
(* (sqrt (/ 1 kx)) (pow (sqrt -1) 2)) |
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) |
(/ (* ky (sin th)) kx) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(/ (+ (* 1/12 (/ (* (pow kx 2) (* ky (sin th))) (pow (sqrt 1/2) 2))) (* ky (sin th))) kx) |
(/.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 kx kx) (/.f64 (*.f64 ky (sin.f64 th)) #s(literal 1/2 binary64))) (*.f64 ky (sin.f64 th))) kx) |
(/ (+ (* ky (sin th)) (* (pow kx 2) (+ (* 1/12 (/ (* ky (sin th)) (pow (sqrt 1/2) 2))) (* 1/2 (/ (* (pow kx 2) (* ky (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (pow (sqrt 1/2) 2)))))) kx) |
(/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) #s(literal 7/360 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 ky (sin.f64 th)) #s(literal 1/2 binary64)))) (*.f64 ky (sin.f64 th))) kx) |
(/ (+ (* ky (sin th)) (* (pow kx 2) (+ (* 1/12 (/ (* ky (sin th)) (pow (sqrt 1/2) 2))) (* (pow kx 2) (+ (* 1/2 (/ (* ky (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))) (pow (sqrt 1/2) 2))) (* 1/2 (/ (* (pow kx 2) (* ky (* (sin th) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))))) (pow (sqrt 1/2) 2)))))))) kx) |
(/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (*.f64 #s(literal 1/2 binary64) (fma.f64 ky (/.f64 (*.f64 (sin.f64 th) #s(literal 7/360 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 kx kx) (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) #s(literal 31/15120 binary64)) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 ky (sin.f64 th)) #s(literal 1/2 binary64)))) (*.f64 ky (sin.f64 th))) kx) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(* th (+ (* -1/6 (* (/ (* ky (pow th 2)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))) |
(*.f64 th (*.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 -1/6 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(* th (+ (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (* ky (pow th 2)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (*.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 -1/6 binary64) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 th th))) (sqrt.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 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(* th (+ (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/5040 (* (/ (* ky (pow th 2)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))))))) |
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (*.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 -1/5040 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/120 binary64) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) ky) (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) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) |
(*.f64 (/.f64 (*.f64 ky (sin.f64 th)) (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))))))) |
(/ (* kx (* (sqrt 1/2) (sqrt 2))) (* ky (sin th))) |
(/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th))) |
(* kx (+ (* -1/3 (/ (* (pow kx 2) (sqrt 1/2)) (* ky (* (sin th) (sqrt 2))))) (/ (* (sqrt 1/2) (sqrt 2)) (* ky (sin th))))) |
(*.f64 kx (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 kx kx) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sin.f64 th))))) |
(* kx (+ (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (* ky (* (sin th) (sqrt 2))))) (* 1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))))) (* ky (* (sin th) (sqrt 2))))))) (/ (* (sqrt 1/2) (sqrt 2)) (* ky (sin th))))) |
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(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(* (/ (sqrt 1/2) ky) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) |
(+ 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))) (pow ky 2))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -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))) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/3 binary64) (*.f64 ky ky) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -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))) (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)) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 (cos (* 2 ky)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) |
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 2)) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (*.f64 kx kx)) |
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (*.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)))) |
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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))) |
(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)) |
(* (* ky (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) |
(*.f64 (*.f64 ky (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 5 binary64)) 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 (+ (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5)))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (+ th (* -1/6 (pow th 5))))) (* -1/6 (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 5 binary64)) th) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 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))))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 5 binary64)) 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 (+ (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5)))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (+ th (* -1/6 (pow th 5))))) (+ (* -1/6 (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5))))) (+ (* 1/12 (* (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (+ th (* -1/6 (pow th 5))))) (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (+ th (* -1/6 (pow th 5))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))))))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 5 binary64)) th) (fma.f64 #s(literal 1/120 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)))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (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 -1/6 binary64) (pow.f64 th #s(literal 5 binary64)) th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #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 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 5 binary64)) th) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 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)))))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 5 binary64)) 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 (+ (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5)))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (+ th (* -1/6 (pow th 5))))) (+ (* -1/6 (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5))))) (+ (* 1/12 (* (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (+ th (* -1/6 (pow th 5))))) (+ (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (+ th (* -1/6 (pow th 5))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (+ th (* -1/6 (pow th 5))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4)))))))) (+ (* -1/12 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (+ th (* -1/6 (pow th 5))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))))) (+ (* -1/240 (* (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (+ th (* -1/6 (pow th 5))))) (* -1/5040 (* (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ th (* -1/6 (pow th 5)))))))))))))))))) |
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(* (* (sin ky) (+ th (* -1/6 (pow th 7)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 7 binary64)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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) (+ th (* -1/6 (pow th 7)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 7 binary64)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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) (+ th (* -1/6 (pow th 7)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 7 binary64)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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) (+ th (* -1/6 (pow th 7)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 7 binary64)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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) (+ th (* -1/6 (pow th 7)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 7 binary64)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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) (+ th (* -1/6 (pow th 7)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 7 binary64)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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) (+ th (* -1/6 (pow th 7)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 7 binary64)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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) (+ th (* -1/6 (pow th 7)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 7 binary64)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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) (* (sqrt 2) (+ th (* -1/6 (pow th 5))))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) |
(*.f64 (*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 5 binary64)) th))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) |
(+ (* -2 (* (/ (* (pow kx 2) (* (sin ky) (+ th (* -1/6 (pow th 5))))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (* (sqrt 2) (+ th (* -1/6 (pow th 5))))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 kx kx) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 5 binary64)) th))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))))) (*.f64 (*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 5 binary64)) th))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))))) |
(+ (* (* (sin ky) (* (sqrt 2) (+ th (* -1/6 (pow th 5))))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (+ th (* -1/6 (pow th 5))) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky))))))))) |
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(+ (* (* (sin ky) (* (sqrt 2) (+ th (* -1/6 (pow th 5))))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (+ th (* -1/6 (pow th 5))) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (* (+ th (* -1/6 (pow th 5))) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky))))))))))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 5 binary64)) th)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #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 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (+.f64 (/.f64 #s(literal 8/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 8/45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64)))))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 5 binary64)) th)) (+.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 5 binary64)) th)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 5 binary64)) th))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))))) |
(* (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 5 binary64)) th))) |
(* (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 5 binary64)) th))) |
(* (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 5 binary64)) th))) |
(* (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 5 binary64)) th))) |
(* (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 5 binary64)) th))) |
(* (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 5 binary64)) th))) |
(* (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 5 binary64)) th))) |
(* (* (sin ky) (+ th (* -1/6 (pow th 5)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 5 binary64)) th))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 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 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 (+ (* -1/6 (* (* (pow th 4) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))) |
(*.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 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 -1/6 binary64) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 4 binary64))) (sin.f64 ky)))) |
(* th (+ (* -1/6 (* (* (pow th 4) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))) |
(*.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 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 -1/6 binary64) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 4 binary64))) (sin.f64 ky)))) |
(* th (+ (* -1/6 (* (* (pow th 4) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))) |
(*.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 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 -1/6 binary64) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 4 binary64))) (sin.f64 ky)))) |
(* -1/6 (* (* (pow th 7) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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)))))) |
(* (pow th 7) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (/ (sin ky) (pow th 6)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))) |
(*.f64 (pow.f64 th #s(literal 7 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 -1/6 binary64) (sin.f64 ky) (/.f64 (sin.f64 ky) (pow.f64 th #s(literal 6 binary64)))))) |
(* (pow th 7) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (/ (sin ky) (pow th 6)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))) |
(*.f64 (pow.f64 th #s(literal 7 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 -1/6 binary64) (sin.f64 ky) (/.f64 (sin.f64 ky) (pow.f64 th #s(literal 6 binary64)))))) |
(* (pow th 7) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (/ (sin ky) (pow th 6)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))) |
(*.f64 (pow.f64 th #s(literal 7 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 -1/6 binary64) (sin.f64 ky) (/.f64 (sin.f64 ky) (pow.f64 th #s(literal 6 binary64)))))) |
(* 1/6 (* (* (pow th 6) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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)))))) |
(* (pow th 6) (+ (* 1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (/ (sin ky) (pow th 5)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))) |
(*.f64 (pow.f64 th #s(literal 6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 1/6 binary64) (sin.f64 ky) (/.f64 (sin.f64 ky) (pow.f64 th #s(literal 5 binary64)))))) |
(* (pow th 6) (+ (* 1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (/ (sin ky) (pow th 5)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))) |
(*.f64 (pow.f64 th #s(literal 6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 1/6 binary64) (sin.f64 ky) (/.f64 (sin.f64 ky) (pow.f64 th #s(literal 5 binary64)))))) |
(* (pow th 6) (+ (* 1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (/ (sin ky) (pow th 5)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))) |
(*.f64 (pow.f64 th #s(literal 6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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 1/6 binary64) (sin.f64 ky) (/.f64 (sin.f64 ky) (pow.f64 th #s(literal 5 binary64)))))) |
(* ky (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) |
(*.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))))) |
(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 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)))))) |
(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))))))))))) |
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/12 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (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 #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 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #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 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/120 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))))))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 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)))))) |
(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4))))))) (+ (* -1/12 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (+ (* -1/240 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* -1/5040 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))))) |
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(* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) |
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(+ (* -2 (* (/ (* (pow kx 2) (sin ky)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky))))))))) |
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(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky))))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))))) |
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(* 2 ky) |
(*.f64 #s(literal 2 binary64) ky) |
(* 2 ky) |
(*.f64 #s(literal 2 binary64) ky) |
(* 2 ky) |
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(* 2 ky) |
(*.f64 #s(literal 2 binary64) ky) |
(* 2 ky) |
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(* 2 ky) |
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(* 2 ky) |
(*.f64 #s(literal 2 binary64) ky) |
(* 2 ky) |
(*.f64 #s(literal 2 binary64) ky) |
(* 2 ky) |
(*.f64 #s(literal 2 binary64) ky) |
(* 2 ky) |
(*.f64 #s(literal 2 binary64) ky) |
(* 2 ky) |
(*.f64 #s(literal 2 binary64) ky) |
(* 2 ky) |
(*.f64 #s(literal 2 binary64) ky) |
(* 2 kx) |
(*.f64 #s(literal 2 binary64) kx) |
(* 2 kx) |
(*.f64 #s(literal 2 binary64) kx) |
(* 2 kx) |
(*.f64 #s(literal 2 binary64) kx) |
(* 2 kx) |
(*.f64 #s(literal 2 binary64) kx) |
(* 2 kx) |
(*.f64 #s(literal 2 binary64) kx) |
(* 2 kx) |
(*.f64 #s(literal 2 binary64) kx) |
(* 2 kx) |
(*.f64 #s(literal 2 binary64) kx) |
(* 2 kx) |
(*.f64 #s(literal 2 binary64) kx) |
(* 2 kx) |
(*.f64 #s(literal 2 binary64) kx) |
(* 2 kx) |
(*.f64 #s(literal 2 binary64) kx) |
(* 2 kx) |
(*.f64 #s(literal 2 binary64) kx) |
(* 2 kx) |
(*.f64 #s(literal 2 binary64) kx) |
kx |
kx |
kx |
kx |
(pow kx 2) |
(*.f64 kx kx) |
(pow kx 2) |
(*.f64 kx kx) |
(pow kx 2) |
(*.f64 kx kx) |
(pow kx 2) |
(*.f64 kx kx) |
(pow kx 2) |
(*.f64 kx kx) |
(pow kx 2) |
(*.f64 kx kx) |
(pow kx 2) |
(*.f64 kx kx) |
(pow kx 2) |
(*.f64 kx kx) |
(* kx (* (sqrt 1/2) (sqrt 2))) |
(*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(* kx (+ (* -1/3 (/ (* (pow kx 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))) |
(*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(* kx (+ (* (sqrt 1/2) (sqrt 2)) (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))) |
(*.f64 kx (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/30 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(* kx (+ (* (sqrt 1/2) (sqrt 2)) (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (sqrt 2))) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))) |
(*.f64 kx (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/30 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/1260 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) |
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) |
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) |
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) |
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) |
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) |
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) |
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx))))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) |
(* -2 kx) |
(*.f64 kx #s(literal -2 binary64)) |
(* -2 kx) |
(*.f64 kx #s(literal -2 binary64)) |
(* -2 kx) |
(*.f64 kx #s(literal -2 binary64)) |
(* -2 kx) |
(*.f64 kx #s(literal -2 binary64)) |
kx |
kx |
kx |
kx |
(* -1 kx) |
(neg.f64 kx) |
(* -1 kx) |
(neg.f64 kx) |
(* -1 kx) |
(neg.f64 kx) |
(* -1 kx) |
(neg.f64 kx) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (pow kx 2))) |
(fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))) |
(fma.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)) #s(literal 1 binary64)) |
(cos (* -2 kx)) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(cos (* -2 kx)) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(cos (* -2 kx)) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(cos (* -2 kx)) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(cos (* -2 kx)) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(cos (* -2 kx)) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(cos (* -2 kx)) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
(cos (* -2 kx)) |
(cos.f64 (*.f64 kx #s(literal -2 binary64))) |
th |
(* th (+ 1 (* -1/6 th))) |
(fma.f64 th (*.f64 th #s(literal -1/6 binary64)) th) |
(* th (+ 1 (* -1/6 th))) |
(fma.f64 th (*.f64 th #s(literal -1/6 binary64)) th) |
(* th (+ 1 (* -1/6 th))) |
(fma.f64 th (*.f64 th #s(literal -1/6 binary64)) th) |
(* -1/6 (pow th 4)) |
(*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 4 binary64))) |
(* (pow th 4) (- (/ 1 (pow th 3)) 1/6)) |
(*.f64 (pow.f64 th #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th th))) #s(literal -1/6 binary64))) |
(* (pow th 4) (- (/ 1 (pow th 3)) 1/6)) |
(*.f64 (pow.f64 th #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th th))) #s(literal -1/6 binary64))) |
(* (pow th 4) (- (/ 1 (pow th 3)) 1/6)) |
(*.f64 (pow.f64 th #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (*.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))))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (pow kx 2) 1/2) |
(fma.f64 kx kx #s(literal -1/2 binary64)) |
(- (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) 1/2) |
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
(- (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) 1/2) |
(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)) |
(* -1/2 (cos (* 2 kx))) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -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))) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) |
(* -1/2 (cos (* 2 kx))) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) |
(* -1/2 (cos (neg (* -2 kx)))) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) |
(* -1/2 (cos (neg (* -2 kx)))) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) |
(* -1/2 (cos (neg (* -2 kx)))) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) |
(* -1/2 (cos (neg (* -2 kx)))) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) |
th |
th |
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) |
Compiled 31 027 to 2 678 computations (91.4% saved)
105 alts after pruning (100 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 005 | 40 | 1 045 |
| Fresh | 10 | 60 | 70 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 017 | 105 | 1 122 |
| Status | Accuracy | Program |
|---|---|---|
| 2.2% | (fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) | |
| 2.1% | (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) | |
| 3.0% | (/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) | |
| 2.9% | (/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) | |
| 3.4% | (/.f64 (/.f64 (/.f64 th ky) ky) ky) | |
| 3.9% | (/.f64 (/.f64 (sin.f64 th) ky) ky) | |
| 3.4% | (/.f64 (/.f64 th (*.f64 ky ky)) ky) | |
| 19.0% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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))))) | |
| 78.3% | (/.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))))))) | |
| 11.8% | (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) | |
| 2.8% | (/.f64 (*.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))) (*.f64 ky ky)) | |
| 14.8% | (/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) | |
| 23.4% | (/.f64 (*.f64 ky (sin.f64 th)) kx) | |
| 3.8% | (/.f64 (sin.f64 th) (*.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)))) | |
| 3.6% | (/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) | |
| ✓ | 3.9% | (/.f64 (sin.f64 th) (*.f64 ky ky)) |
| 4.3% | (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) | |
| ✓ | 3.4% | (/.f64 th (*.f64 ky (*.f64 ky ky))) |
| 3.5% | (/.f64 th (*.f64 ky ky)) | |
| 24.4% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) | |
| 24.2% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) ky) (sin.f64 th))) | |
| 28.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (/.f64 (*.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 #s(literal -2 binary64))))))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) ky) (sin.f64 th))) | |
| ✓ | 28.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th))) |
| 11.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) ky) (sin.f64 th))) | |
| 21.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) | |
| 23.3% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) | |
| 16.4% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 th th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) th)) | |
| 3.9% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) | |
| 28.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky (sin.f64 th))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) | |
| 16.2% | (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky th)))) | |
| 3.4% | (/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) | |
| 23.8% | (*.f64 (/.f64 (fma.f64 ky (*.f64 (pow.f64 ky #s(literal 6 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 6 binary64)) #s(literal -1/6 binary64))) ky) kx) (sin.f64 th)) | |
| 28.5% | (*.f64 (/.f64 (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) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) | |
| 28.4% | (*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) | |
| 32.6% | (*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) | |
| 49.6% | (*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) | |
| 3.3% | (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) | |
| 28.5% | (*.f64 (/.f64 (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th)) | |
| 4.8% | (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th)) | |
| ✓ | 78.4% | (*.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)) |
| 35.6% | (*.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 ky ky)))) (sin.f64 ky)) | |
| 32.6% | (*.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)) | |
| 28.6% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64)))) ky) | |
| 33.3% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky)) | |
| 69.7% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (sin.f64 kx))) (sin.f64 th)) | |
| 59.1% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx kx) kx))) (sin.f64 th)) | |
| 33.0% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) | |
| 50.2% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) | |
| 32.5% | (*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th)) | |
| 12.0% | (*.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)) | |
| 40.0% | (*.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 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) | |
| 39.6% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) th)) | |
| 25.6% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))) | |
| 17.6% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) | |
| 27.6% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) | |
| 17.6% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) | |
| 27.7% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) | |
| 65.2% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)))))) (sin.f64 th)) | |
| 28.0% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (sin.f64 th)) | |
| 19.1% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)) | |
| 18.8% | (*.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)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) | |
| 33.3% | (*.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)))) (sin.f64 th)) | |
| 78.3% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (sin.f64 th)) | |
| 15.9% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) | |
| 32.6% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th)) | |
| 61.5% | (*.f64 (/.f64 (exp.f64 (log.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)) | |
| 28.5% | (*.f64 (/.f64 ky (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th)) | |
| 24.4% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) | |
| 33.3% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.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))) (sin.f64 th)) | |
| 28.5% | (*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky))) (sin.f64 th)) | |
| 28.6% | (*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.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.f64 th)) | |
| 40.0% | (*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) | |
| ✓ | 78.5% | (*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) (sin.f64 th)) |
| 33.3% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky))) (sin.f64 th)) | |
| 12.0% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) | |
| 16.6% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)) | |
| 16.3% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) | |
| 16.4% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (*.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)))) | |
| 3.4% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) | |
| 3.9% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) | |
| 24.3% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) | |
| 12.3% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) | |
| 10.7% | (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) | |
| 33.3% | (*.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)) | |
| 28.5% | (*.f64 (*.f64 (*.f64 ky (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 th)) | |
| 28.4% | (*.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))))))) | |
| 78.3% | (*.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)) | |
| 15.8% | (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) | |
| 13.8% | (*.f64 (*.f64 (sin.f64 th) (/.f64 (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 kx (*.f64 kx kx))))) ky) | |
| 32.5% | (*.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)) | |
| 32.3% | (*.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))))) | |
| 32.5% | (*.f64 (*.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.f64 th)) | |
| 40.2% | (*.f64 (*.f64 th (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.f64 ky)) | |
| 40.1% | (*.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 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)))))) | |
| 13.9% | (*.f64 (*.f64 ky (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (sqrt.f64 (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) | |
| 23.8% | (*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) | |
| 13.9% | (*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) | |
| 18.5% | (*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) | |
| 15.3% | (*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) | |
| 16.3% | (*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) | |
| 28.5% | (*.f64 (*.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.f64 th)) | |
| 28.5% | (*.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))))) | |
| 16.6% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) | |
| 22.4% | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 kx kx))))) | |
| 16.4% | (*.f64 th (*.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 -1/6 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
Compiled 5 545 to 2 252 computations (59.4% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
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(*.f64 (*.f64 th (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.f64 ky)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.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))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) th)) |
(*.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 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.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))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.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)) (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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (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)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky))) (sin.f64 th)) |
(*.f64 (/.f64 (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) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (/.f64 (*.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 #s(literal -2 binary64))))))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) ky) (sin.f64 th))) |
(*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.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.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx kx) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (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 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)) |
(*.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 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 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 ky ky)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 kx kx))))))) (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 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 (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))))))) (sin.f64 th))) |
(*.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) (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 #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 ky) (/.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))))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.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) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -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)))) ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) (sqrt.f64 (sin.f64 kx)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (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 (exp.f64 (log.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 (/.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))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.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 12 binary64)) (pow.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) (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))))))) #s(literal 3 binary64))))) (sqrt.f64 (fma.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) (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 (*.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 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
9 calls:
| 128.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 86.0ms | (*.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)) |
| 80.0ms | kx |
| 58.0ms | ky |
| 57.0ms | th |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | kx |
| 99.7% | 1 | ky |
| 99.7% | 1 | th |
| 99.7% | 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)) |
| 99.7% | 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))))) |
| 99.7% | 1 | (sin.f64 ky) |
| 99.7% | 1 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 99.7% | 1 | (sin.f64 kx) |
| 99.7% | 1 | (sin.f64 th) |
Compiled 69 to 51 computations (26.1% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
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(/.f64 (sin.f64 th) (*.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)))) |
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(*.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 ky ky))) (sin.f64 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 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)))))) |
(*.f64 (*.f64 th (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.f64 ky)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.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))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) th)) |
(*.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 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.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))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.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)) (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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (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)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky))) (sin.f64 th)) |
(*.f64 (/.f64 (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) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (/.f64 (*.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 #s(literal -2 binary64))))))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) ky) (sin.f64 th))) |
(*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.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.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx kx) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (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 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)) |
(*.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 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 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 ky ky)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 kx kx))))))) (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 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 (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))))))) (sin.f64 th))) |
(*.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) (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 #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 ky) (/.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))))))))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (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)) (sin.f64 th)) |
9 calls:
| 87.0ms | (sin.f64 ky) |
| 82.0ms | th |
| 80.0ms | (*.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)) |
| 73.0ms | (sin.f64 kx) |
| 68.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 2 | ky |
| 88.6% | 2 | th |
| 88.6% | 3 | (sin.f64 th) |
| 99.6% | 2 | kx |
| 88.9% | 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)) |
| 99.6% | 4 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 99.5% | 3 | (sin.f64 ky) |
| 99.6% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 99.6% | 3 | (sin.f64 kx) |
Compiled 69 to 51 computations (26.1% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) |
(*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky th)))) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (/.f64 (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 kx (*.f64 kx kx))))) ky) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
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(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.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)) (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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (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)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky))) (sin.f64 th)) |
(*.f64 (/.f64 (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) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (/.f64 (*.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 #s(literal -2 binary64))))))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) ky) (sin.f64 th))) |
(*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.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.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx kx) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (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 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)) |
(*.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 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 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 ky ky)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 kx kx))))))) (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 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)))))))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (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)))))))) |
2 calls:
| 80.0ms | kx |
| 79.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 2 | kx |
| 99.6% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
Compiled 11 to 9 computations (18.2% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) |
(*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky th)))) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (/.f64 (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 kx (*.f64 kx kx))))) ky) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (sqrt.f64 (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)) |
(*.f64 th (*.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 -1/6 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (*.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 th th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) ky) (sin.f64 th))) |
(/.f64 th (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (fma.f64 (*.f64 kx (*.f64 kx kx)) (fma.f64 (sqrt.f64 (*.f64 kx (*.f64 kx kx))) #s(literal 17/240 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) #s(literal 1/4 binary64))) (sqrt.f64 kx)) (*.f64 kx kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 ky (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64)))) ky) |
(/.f64 (*.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))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.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 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.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (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)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) |
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(*.f64 (*.f64 (*.f64 ky (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 th)) |
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(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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 kx kx))))))) (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) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
2 calls:
| 119.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 71.0ms | kx |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 2 | kx |
| 99.6% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
Compiled 11 to 9 computations (18.2% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) |
(*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky th)))) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (/.f64 (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 kx (*.f64 kx kx))))) ky) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (sqrt.f64 (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)) |
(*.f64 th (*.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 -1/6 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (*.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 th th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) ky) (sin.f64 th))) |
(/.f64 th (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (fma.f64 (*.f64 kx (*.f64 kx kx)) (fma.f64 (sqrt.f64 (*.f64 kx (*.f64 kx kx))) #s(literal 17/240 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) #s(literal 1/4 binary64))) (sqrt.f64 kx)) (*.f64 kx kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 ky (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64)))) ky) |
(/.f64 (*.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))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.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 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.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (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)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.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 (*.f64 (*.f64 ky (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 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) ky) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky (sin.f64 th))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (pow.f64 (sin.f64 ky) #s(literal -3 binary64)) (sin.f64 th)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(/.f64 (*.f64 ky (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) |
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) |
(/.f64 (sin.f64 th) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (sin.f64 ky))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sin.f64 th)) |
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (sin.f64 ky)) |
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (*.f64 (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 th))) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (pow.f64 ky #s(literal 6 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 6 binary64)) #s(literal -1/6 binary64))) ky) kx) (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)))) (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)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky)) |
(*.f64 (*.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.f64 th)) |
(*.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) (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 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 kx kx))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (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 ky ky)))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (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))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 ky) (*.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 ky #s(literal -2 binary64))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) |
(*.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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 kx kx))) (sin.f64 ky))) (sin.f64 th)) |
(*.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 ky ky))) (sin.f64 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 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)))))) |
(*.f64 (*.f64 th (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.f64 ky)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.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))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) th)) |
(*.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 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.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))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.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)) (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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (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)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky))) (sin.f64 th)) |
(*.f64 (/.f64 (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) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (/.f64 (*.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 #s(literal -2 binary64))))))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) ky) (sin.f64 th))) |
(*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.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.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx kx) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (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 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)) |
(*.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 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 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 ky ky)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (sin.f64 th)) |
2 calls:
| 49.0ms | kx |
| 48.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 2 | kx |
| 99.6% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
Compiled 11 to 9 computations (18.2% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) |
(*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky th)))) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (/.f64 (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 kx (*.f64 kx kx))))) ky) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
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(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.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)) (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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (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)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky))) (sin.f64 th)) |
(*.f64 (/.f64 (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) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (/.f64 (*.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 #s(literal -2 binary64))))))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) ky) (sin.f64 th))) |
(*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.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.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx kx) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (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 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)) |
(*.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 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 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 ky ky)))))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 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 ky ky)))))) (sin.f64 th)) |
3 calls:
| 70.0ms | kx |
| 64.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 39.0ms | ky |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 2 | ky |
| 99.5% | 2 | kx |
| 99.5% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) |
(*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky th)))) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (/.f64 (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 kx (*.f64 kx kx))))) ky) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (sqrt.f64 (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)) |
(*.f64 th (*.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 -1/6 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (*.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 th th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) ky) (sin.f64 th))) |
(/.f64 th (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (fma.f64 (*.f64 kx (*.f64 kx kx)) (fma.f64 (sqrt.f64 (*.f64 kx (*.f64 kx kx))) #s(literal 17/240 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) #s(literal 1/4 binary64))) (sqrt.f64 kx)) (*.f64 kx kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 ky (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64)))) ky) |
(/.f64 (*.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))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.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 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.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (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)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.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 (*.f64 (*.f64 ky (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 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) ky) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky (sin.f64 th))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (pow.f64 (sin.f64 ky) #s(literal -3 binary64)) (sin.f64 th)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(/.f64 (*.f64 ky (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) |
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) |
(/.f64 (sin.f64 th) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (sin.f64 ky))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sin.f64 th)) |
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (sin.f64 ky)) |
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (*.f64 (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 th))) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (pow.f64 ky #s(literal 6 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 6 binary64)) #s(literal -1/6 binary64))) ky) kx) (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)))) (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)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky)) |
(*.f64 (*.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.f64 th)) |
(*.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) (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 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 kx kx))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (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 ky ky)))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (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))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 ky) (*.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 ky #s(literal -2 binary64))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) |
(*.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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 kx kx))) (sin.f64 ky))) (sin.f64 th)) |
(*.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 ky ky))) (sin.f64 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 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)))))) |
(*.f64 (*.f64 th (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.f64 ky)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.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))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) th)) |
(*.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 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.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))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.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)) (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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (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)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky))) (sin.f64 th)) |
(*.f64 (/.f64 (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) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (/.f64 (*.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 #s(literal -2 binary64))))))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) ky) (sin.f64 th))) |
(*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.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.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx kx) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (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 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)) |
(*.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 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.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))))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx kx) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (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 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)))))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx kx) kx))) (sin.f64 th)) |
9 calls:
| 66.0ms | th |
| 64.0ms | ky |
| 51.0ms | (sin.f64 ky) |
| 50.0ms | (/.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))))) |
| 42.0ms | (sin.f64 kx) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.9% | 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)) |
| 78.7% | 3 | (sin.f64 th) |
| 76.4% | 2 | th |
| 87.6% | 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))))) |
| 79.8% | 3 | (sin.f64 ky) |
| 80.1% | 3 | (sin.f64 kx) |
| 79.8% | 2 | ky |
| 80.2% | 2 | kx |
| 80.1% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
Compiled 69 to 51 computations (26.1% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
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(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 ky) (*.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 ky #s(literal -2 binary64))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) |
(*.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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 kx kx))) (sin.f64 ky))) (sin.f64 th)) |
(*.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 ky ky))) (sin.f64 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 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)))))) |
(*.f64 (*.f64 th (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.f64 ky)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.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))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) th)) |
(*.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 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.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))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.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)) (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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (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)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky))) (sin.f64 th)) |
(*.f64 (/.f64 (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) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (/.f64 (*.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 #s(literal -2 binary64))))))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) ky) (sin.f64 th))) |
(*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.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.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx kx) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.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))) (sin.f64 th)) |
2 calls:
| 38.0ms | kx |
| 35.0ms | (/.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 |
|---|---|---|
| 80.2% | 2 | kx |
| 78.1% | 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 20 to 14 computations (30% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) |
(*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky th)))) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (/.f64 (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 kx (*.f64 kx kx))))) ky) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (sqrt.f64 (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)) |
(*.f64 th (*.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 -1/6 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (*.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 th th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) ky) (sin.f64 th))) |
(/.f64 th (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (fma.f64 (*.f64 kx (*.f64 kx kx)) (fma.f64 (sqrt.f64 (*.f64 kx (*.f64 kx kx))) #s(literal 17/240 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) #s(literal 1/4 binary64))) (sqrt.f64 kx)) (*.f64 kx kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 ky (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64)))) ky) |
(/.f64 (*.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))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.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 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.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (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)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.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 (*.f64 (*.f64 ky (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 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) ky) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky (sin.f64 th))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (pow.f64 (sin.f64 ky) #s(literal -3 binary64)) (sin.f64 th)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(/.f64 (*.f64 ky (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) |
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) |
(/.f64 (sin.f64 th) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (sin.f64 ky))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sin.f64 th)) |
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (sin.f64 ky)) |
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (*.f64 (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 th))) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (pow.f64 ky #s(literal 6 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 6 binary64)) #s(literal -1/6 binary64))) ky) kx) (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)))) (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)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky)) |
(*.f64 (*.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.f64 th)) |
(*.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) (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 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 kx kx))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (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 ky ky)))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (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))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 ky) (*.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 ky #s(literal -2 binary64))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) |
(*.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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 kx kx))) (sin.f64 ky))) (sin.f64 th)) |
(*.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 ky ky))) (sin.f64 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 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)))))) |
(*.f64 (*.f64 th (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.f64 ky)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.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))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) th)) |
(*.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 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.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))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.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)) (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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (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)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky))) (sin.f64 th)) |
(*.f64 (/.f64 (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) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (/.f64 (*.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 #s(literal -2 binary64))))))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) ky) (sin.f64 th))) |
(*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.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.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx kx) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx kx) kx))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.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))) (sin.f64 th)) |
2 calls:
| 36.0ms | kx |
| 34.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.0% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 80.0% | 2 | kx |
Compiled 11 to 9 computations (18.2% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
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(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) |
(*.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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 kx kx))) (sin.f64 ky))) (sin.f64 th)) |
(*.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 ky ky))) (sin.f64 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 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)))))) |
(*.f64 (*.f64 th (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.f64 ky)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.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))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) th)) |
(*.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 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.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))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.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)) (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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (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)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky))) (sin.f64 th)) |
(*.f64 (/.f64 (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) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (/.f64 (*.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 #s(literal -2 binary64))))))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) ky) (sin.f64 th))) |
(*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.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.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.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)) (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 #s(literal 1 binary64) (/.f64 (*.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))) (sin.f64 th)) |
9 calls:
| 68.0ms | (*.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)) |
| 58.0ms | kx |
| 47.0ms | th |
| 45.0ms | (/.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))))) |
| 42.0ms | (sin.f64 ky) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.1% | 6 | (*.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)) |
| 72.7% | 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))))) |
| 60.5% | 2 | th |
| 63.5% | 4 | (sin.f64 th) |
| 69.1% | 4 | (sin.f64 ky) |
| 68.7% | 3 | (sin.f64 kx) |
| 69.1% | 3 | ky |
| 68.7% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 68.7% | 2 | kx |
Compiled 69 to 51 computations (26.1% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) |
(*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky th)))) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (/.f64 (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 kx (*.f64 kx kx))))) ky) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (sqrt.f64 (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)) |
(*.f64 th (*.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 -1/6 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (*.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 th th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) ky) (sin.f64 th))) |
(/.f64 th (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (fma.f64 (*.f64 kx (*.f64 kx kx)) (fma.f64 (sqrt.f64 (*.f64 kx (*.f64 kx kx))) #s(literal 17/240 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) #s(literal 1/4 binary64))) (sqrt.f64 kx)) (*.f64 kx kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 ky (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64)))) ky) |
(/.f64 (*.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))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.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 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.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (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)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.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 (*.f64 (*.f64 ky (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 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) ky) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky (sin.f64 th))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (pow.f64 (sin.f64 ky) #s(literal -3 binary64)) (sin.f64 th)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(/.f64 (*.f64 ky (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) |
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) |
(/.f64 (sin.f64 th) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (sin.f64 ky))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sin.f64 th)) |
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (sin.f64 ky)) |
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (*.f64 (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 th))) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (pow.f64 ky #s(literal 6 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 6 binary64)) #s(literal -1/6 binary64))) ky) kx) (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)))) (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)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky)) |
(*.f64 (*.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.f64 th)) |
(*.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) (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 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 kx kx))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (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 ky ky)))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (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))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 ky) (*.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 ky #s(literal -2 binary64))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) |
(*.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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 kx kx))) (sin.f64 ky))) (sin.f64 th)) |
(*.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 ky ky))) (sin.f64 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 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)))))) |
(*.f64 (*.f64 th (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.f64 ky)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.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))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) th)) |
(*.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 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.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) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.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))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.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))) (sin.f64 th)) |
2 calls:
| 36.0ms | kx |
| 32.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.6% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 68.6% | 2 | kx |
Compiled 11 to 9 computations (18.2% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) |
(*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky th)))) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (/.f64 (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 kx (*.f64 kx kx))))) ky) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (sqrt.f64 (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)) |
(*.f64 th (*.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 -1/6 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (*.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 th th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) ky) (sin.f64 th))) |
(/.f64 th (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (fma.f64 (*.f64 kx (*.f64 kx kx)) (fma.f64 (sqrt.f64 (*.f64 kx (*.f64 kx kx))) #s(literal 17/240 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) #s(literal 1/4 binary64))) (sqrt.f64 kx)) (*.f64 kx kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 ky (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64)))) ky) |
(/.f64 (*.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))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.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 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.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (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)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.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 (*.f64 (*.f64 ky (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 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) ky) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky (sin.f64 th))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (pow.f64 (sin.f64 ky) #s(literal -3 binary64)) (sin.f64 th)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(/.f64 (*.f64 ky (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) |
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) |
(/.f64 (sin.f64 th) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (sin.f64 ky))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sin.f64 th)) |
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (sin.f64 ky)) |
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (*.f64 (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 th))) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (pow.f64 ky #s(literal 6 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 6 binary64)) #s(literal -1/6 binary64))) ky) kx) (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)))) (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)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky)) |
(*.f64 (*.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.f64 th)) |
(*.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) (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 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 kx kx))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (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 ky ky)))) (sin.f64 ky)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (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))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 ky) (*.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 ky #s(literal -2 binary64))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) |
(*.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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 kx kx))) (sin.f64 ky))) (sin.f64 th)) |
(*.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 ky ky))) (sin.f64 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 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)))))) |
(*.f64 (*.f64 th (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.f64 ky)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky)) |
1 calls:
| 32.0ms | kx |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.6% | 2 | kx |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) |
(*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky th)))) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (/.f64 (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 kx (*.f64 kx kx))))) ky) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (sqrt.f64 (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)) |
(*.f64 th (*.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 -1/6 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (*.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 th th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) ky) (sin.f64 th))) |
(/.f64 th (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (fma.f64 (*.f64 kx (*.f64 kx kx)) (fma.f64 (sqrt.f64 (*.f64 kx (*.f64 kx kx))) #s(literal 17/240 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) #s(literal 1/4 binary64))) (sqrt.f64 kx)) (*.f64 kx kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 ky (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64)))) ky) |
(/.f64 (*.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))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.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 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.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (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)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.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 (*.f64 (*.f64 ky (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 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) ky) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky (sin.f64 th))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (pow.f64 (sin.f64 ky) #s(literal -3 binary64)) (sin.f64 th)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(/.f64 (*.f64 ky (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) |
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) |
(/.f64 (sin.f64 th) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (sin.f64 ky))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sin.f64 th)) |
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (sin.f64 ky)) |
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (*.f64 (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 th))) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (pow.f64 ky #s(literal 6 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 6 binary64)) #s(literal -1/6 binary64))) ky) kx) (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)))) (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)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky)) |
(*.f64 (*.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.f64 th)) |
(*.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) (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 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 kx kx))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 ky (*.f64 (pow.f64 ky #s(literal 6 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 6 binary64)) #s(literal -1/6 binary64))) ky) kx) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky (sin.f64 th))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (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))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th)) |
6 calls:
| 29.0ms | (sin.f64 kx) |
| 27.0ms | kx |
| 27.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 26.0ms | (sin.f64 ky) |
| 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 |
|---|---|---|
| 65.4% | 6 | (sin.f64 ky) |
| 62.1% | 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))))) |
| 61.5% | 4 | (sin.f64 kx) |
| 65.4% | 5 | ky |
| 61.5% | 3 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 61.5% | 3 | kx |
Compiled 41 to 31 computations (24.4% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) |
(*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky th)))) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (/.f64 (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 kx (*.f64 kx kx))))) ky) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (sqrt.f64 (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)) |
(*.f64 th (*.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 -1/6 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (*.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 th th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) ky) (sin.f64 th))) |
(/.f64 th (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (fma.f64 (*.f64 kx (*.f64 kx kx)) (fma.f64 (sqrt.f64 (*.f64 kx (*.f64 kx kx))) #s(literal 17/240 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) #s(literal 1/4 binary64))) (sqrt.f64 kx)) (*.f64 kx kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 ky (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64)))) ky) |
(/.f64 (*.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))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.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 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.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (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)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.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 (*.f64 (*.f64 ky (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 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) ky) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky (sin.f64 th))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (pow.f64 (sin.f64 ky) #s(literal -3 binary64)) (sin.f64 th)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(/.f64 (*.f64 ky (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) |
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) |
(/.f64 (sin.f64 th) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (sin.f64 ky))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sin.f64 th)) |
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (sin.f64 ky)) |
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (*.f64 (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 th))) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (pow.f64 ky #s(literal 6 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 6 binary64)) #s(literal -1/6 binary64))) ky) kx) (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)))) (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)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky)) |
(*.f64 (*.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.f64 th)) |
(*.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) (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 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (*.f64 kx kx))))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 ky (*.f64 (pow.f64 ky #s(literal 6 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 6 binary64)) #s(literal -1/6 binary64))) ky) kx) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky (sin.f64 th))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th)) |
1 calls:
| 30.0ms | ky |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.4% | 5 | ky |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) |
(*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky th)))) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (/.f64 (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 kx (*.f64 kx kx))))) ky) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (sqrt.f64 (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)) |
(*.f64 th (*.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 -1/6 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (*.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 th th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) ky) (sin.f64 th))) |
(/.f64 th (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (fma.f64 (*.f64 kx (*.f64 kx kx)) (fma.f64 (sqrt.f64 (*.f64 kx (*.f64 kx kx))) #s(literal 17/240 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) #s(literal 1/4 binary64))) (sqrt.f64 kx)) (*.f64 kx kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 ky (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64)))) ky) |
(/.f64 (*.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))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.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 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.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (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)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.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 (*.f64 (*.f64 ky (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 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) ky) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky (sin.f64 th))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (pow.f64 (sin.f64 ky) #s(literal -3 binary64)) (sin.f64 th)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(/.f64 (*.f64 ky (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) |
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) |
(/.f64 (sin.f64 th) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (sin.f64 ky))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sin.f64 th)) |
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (sin.f64 ky)) |
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (*.f64 (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 th))) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (pow.f64 ky #s(literal 6 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 6 binary64)) #s(literal -1/6 binary64))) ky) kx) (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)))) (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)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 ky (*.f64 (pow.f64 ky #s(literal 6 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 6 binary64)) #s(literal -1/6 binary64))) ky) kx) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky (sin.f64 th))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 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)) |
1 calls:
| 25.0ms | ky |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.3% | 5 | ky |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) |
(*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky th)))) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (/.f64 (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 kx (*.f64 kx kx))))) ky) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (sqrt.f64 (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)) |
(*.f64 th (*.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 -1/6 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (*.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 th th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) ky) (sin.f64 th))) |
(/.f64 th (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (fma.f64 (*.f64 kx (*.f64 kx kx)) (fma.f64 (sqrt.f64 (*.f64 kx (*.f64 kx kx))) #s(literal 17/240 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) #s(literal 1/4 binary64))) (sqrt.f64 kx)) (*.f64 kx kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 ky (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64)))) ky) |
(/.f64 (*.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))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.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 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.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (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)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.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 (*.f64 (*.f64 ky (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 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) ky) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky (sin.f64 th))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (pow.f64 (sin.f64 ky) #s(literal -3 binary64)) (sin.f64 th)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(/.f64 (*.f64 ky (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) |
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) |
(/.f64 (sin.f64 th) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (sin.f64 ky))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sin.f64 th)) |
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (sin.f64 ky)) |
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (*.f64 (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 th))) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (pow.f64 ky #s(literal 6 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 6 binary64)) #s(literal -1/6 binary64))) ky) kx) (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)))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) 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)))) (sin.f64 th)) |
9 calls:
| 39.0ms | (sin.f64 ky) |
| 30.0ms | ky |
| 30.0ms | (sin.f64 th) |
| 29.0ms | kx |
| 25.0ms | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.9% | 4 | (sin.f64 kx) |
| 38.6% | 3 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 47.6% | 4 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 48.9% | 6 | (sin.f64 ky) |
| 49.2% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 51.0% | 3 | kx |
| 43.5% | 3 | (sin.f64 th) |
| 43.4% | 2 | th |
| 49.1% | 5 | ky |
Compiled 69 to 51 computations (26.1% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) |
(*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky th)))) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (/.f64 (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 kx (*.f64 kx kx))))) ky) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (sqrt.f64 (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)) |
(*.f64 th (*.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 -1/6 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (*.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 th th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) ky) (sin.f64 th))) |
(/.f64 th (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (fma.f64 (*.f64 kx (*.f64 kx kx)) (fma.f64 (sqrt.f64 (*.f64 kx (*.f64 kx kx))) #s(literal 17/240 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) #s(literal 1/4 binary64))) (sqrt.f64 kx)) (*.f64 kx kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 ky (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64)))) ky) |
(/.f64 (*.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))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.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 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.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (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)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.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 (*.f64 (*.f64 ky (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 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) ky) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky (sin.f64 th))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (pow.f64 (sin.f64 ky) #s(literal -3 binary64)) (sin.f64 th)) |
(/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(/.f64 (*.f64 ky (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) |
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) |
(/.f64 (sin.f64 th) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (sin.f64 ky))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sin.f64 th)) |
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (sin.f64 ky)) |
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (*.f64 (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 th))) |
(*.f64 (/.f64 (fma.f64 ky (*.f64 (pow.f64 ky #s(literal 6 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 6 binary64)) #s(literal -1/6 binary64))) ky) kx) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) 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))))) |
3 calls:
| 48.0ms | (sin.f64 kx) |
| 25.0ms | kx |
| 23.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.5% | 4 | (sin.f64 kx) |
| 44.8% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 46.6% | 3 | kx |
Compiled 16 to 13 computations (18.8% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) |
(*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky th)))) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (/.f64 (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 kx (*.f64 kx kx))))) ky) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (sqrt.f64 (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)) |
(*.f64 th (*.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 -1/6 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (*.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 th th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) ky) (sin.f64 th))) |
(/.f64 th (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (fma.f64 (*.f64 kx (*.f64 kx kx)) (fma.f64 (sqrt.f64 (*.f64 kx (*.f64 kx kx))) #s(literal 17/240 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) #s(literal 1/4 binary64))) (sqrt.f64 kx)) (*.f64 kx kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 ky (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64)))) ky) |
(/.f64 (*.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))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.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 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.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (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)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.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 (*.f64 (*.f64 ky (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 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) ky) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky (sin.f64 th))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) 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))))) |
1 calls:
| 61.0ms | kx |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.6% | 3 | kx |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) |
(*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky th)))) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (/.f64 (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 kx (*.f64 kx kx))))) ky) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (sqrt.f64 (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)) |
(*.f64 th (*.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 -1/6 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (*.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 th th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) ky) (sin.f64 th))) |
(/.f64 th (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (fma.f64 (*.f64 kx (*.f64 kx kx)) (fma.f64 (sqrt.f64 (*.f64 kx (*.f64 kx kx))) #s(literal 17/240 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) #s(literal 1/4 binary64))) (sqrt.f64 kx)) (*.f64 kx kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 ky (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64)))) ky) |
(/.f64 (*.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))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.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 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.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (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)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.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 (*.f64 (*.f64 ky (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 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) ky) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky (sin.f64 th))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) 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))))) |
1 calls:
| 19.0ms | kx |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.6% | 3 | kx |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) |
(*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky th)))) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (/.f64 (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 kx (*.f64 kx kx))))) ky) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (sqrt.f64 (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)) |
(*.f64 th (*.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 -1/6 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (*.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 th th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) ky) (sin.f64 th))) |
(/.f64 th (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (fma.f64 (*.f64 kx (*.f64 kx kx)) (fma.f64 (sqrt.f64 (*.f64 kx (*.f64 kx kx))) #s(literal 17/240 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) #s(literal 1/4 binary64))) (sqrt.f64 kx)) (*.f64 kx kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 ky (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64)))) ky) |
(/.f64 (*.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))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.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 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.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (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)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.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 (*.f64 (*.f64 ky (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 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) ky) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky (sin.f64 th))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) 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))))) |
1 calls:
| 30.0ms | kx |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.5% | 3 | kx |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) |
(*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky th)))) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (/.f64 (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 kx (*.f64 kx kx))))) ky) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (sqrt.f64 (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)) |
(*.f64 th (*.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 -1/6 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (*.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 th th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) ky) (sin.f64 th))) |
(/.f64 th (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (fma.f64 (*.f64 kx (*.f64 kx kx)) (fma.f64 (sqrt.f64 (*.f64 kx (*.f64 kx kx))) #s(literal 17/240 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) #s(literal 1/4 binary64))) (sqrt.f64 kx)) (*.f64 kx kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 ky (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64)))) ky) |
(/.f64 (*.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))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.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 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.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (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)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.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 (*.f64 (*.f64 ky (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 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))) ky) (sin.f64 th))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.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))))) |
3 calls:
| 29.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 24.0ms | kx |
| 16.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.7% | 4 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 44.4% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 44.4% | 2 | kx |
Compiled 27 to 20 computations (25.9% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) |
(*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky th)))) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (/.f64 (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 kx (*.f64 kx kx))))) ky) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (sqrt.f64 (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)) |
(*.f64 th (*.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 -1/6 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (*.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 th th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) ky) (sin.f64 th))) |
(/.f64 th (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (fma.f64 (*.f64 kx (*.f64 kx kx)) (fma.f64 (sqrt.f64 (*.f64 kx (*.f64 kx kx))) #s(literal 17/240 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) #s(literal 1/4 binary64))) (sqrt.f64 kx)) (*.f64 kx kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 ky (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64)))) ky) |
(/.f64 (*.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))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.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 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.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (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))))) |
8 calls:
| 46.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 39.0ms | (/.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))))) |
| 33.0ms | ky |
| 31.0ms | th |
| 16.0ms | (sin.f64 kx) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.3% | 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))))) |
| 30.2% | 2 | (sin.f64 th) |
| 40.8% | 4 | (sin.f64 ky) |
| 40.9% | 3 | (sin.f64 kx) |
| 30.7% | 2 | th |
| 40.8% | 3 | ky |
| 40.9% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 40.9% | 2 | kx |
Compiled 50 to 38 computations (24% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) |
(*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky th)))) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (/.f64 (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 kx (*.f64 kx kx))))) ky) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (sqrt.f64 (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)) |
(*.f64 th (*.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 -1/6 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (*.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 th th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) ky) (sin.f64 th))) |
(/.f64 th (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (fma.f64 (*.f64 kx (*.f64 kx kx)) (fma.f64 (sqrt.f64 (*.f64 kx (*.f64 kx kx))) #s(literal 17/240 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) #s(literal 1/4 binary64))) (sqrt.f64 kx)) (*.f64 kx kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 ky (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64)))) ky) |
(/.f64 (*.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))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64)))) ky) |
2 calls:
| 50.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 15.0ms | kx |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.9% | 2 | kx |
| 40.9% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
Compiled 11 to 9 computations (18.2% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) |
(*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky th)))) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (/.f64 (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 kx (*.f64 kx kx))))) ky) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (sqrt.f64 (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)) |
(*.f64 th (*.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 -1/6 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (*.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 th th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) ky) (sin.f64 th))) |
(/.f64 th (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (fma.f64 (*.f64 kx (*.f64 kx kx)) (fma.f64 (sqrt.f64 (*.f64 kx (*.f64 kx kx))) #s(literal 17/240 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) #s(literal 1/4 binary64))) (sqrt.f64 kx)) (*.f64 kx kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 ky (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) |
(*.f64 (/.f64 ky (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th)) |
2 calls:
| 27.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 14.0ms | kx |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.9% | 2 | kx |
| 40.9% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
Compiled 11 to 9 computations (18.2% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) |
(*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky th)))) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (/.f64 (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 kx (*.f64 kx kx))))) ky) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (sqrt.f64 (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)) |
(*.f64 th (*.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 -1/6 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (*.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 th th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) ky) (sin.f64 th))) |
(/.f64 th (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (fma.f64 (*.f64 kx (*.f64 kx kx)) (fma.f64 (sqrt.f64 (*.f64 kx (*.f64 kx kx))) #s(literal 17/240 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) #s(literal 1/4 binary64))) (sqrt.f64 kx)) (*.f64 kx kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) |
7 calls:
| 33.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 22.0ms | ky |
| 19.0ms | (*.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)) |
| 14.0ms | (sin.f64 kx) |
| 14.0ms | kx |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.8% | 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)) |
| 33.3% | 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))))) |
| 35.3% | 4 | (sin.f64 ky) |
| 35.3% | 3 | ky |
| 29.4% | 3 | (sin.f64 kx) |
| 29.2% | 2 | kx |
| 29.2% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
Compiled 60 to 44 computations (26.7% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) |
(*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky th)))) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (/.f64 (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 kx (*.f64 kx kx))))) ky) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (sqrt.f64 (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)) |
(*.f64 th (*.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 -1/6 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (*.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 th th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) ky) (sin.f64 th))) |
(/.f64 th (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
6 calls:
| 18.0ms | (sin.f64 th) |
| 16.0ms | (sin.f64 ky) |
| 13.0ms | ky |
| 13.0ms | th |
| 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 |
|---|---|---|
| 29.2% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 24.4% | 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))))) |
| 24.4% | 1 | (sin.f64 th) |
| 24.4% | 1 | th |
| 26.4% | 2 | (sin.f64 ky) |
| 28.1% | 3 | ky |
Compiled 41 to 31 computations (24.4% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) |
(*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky th)))) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (/.f64 (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 kx (*.f64 kx kx))))) ky) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 kx kx) #s(literal -2 binary64) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx kx)))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (sqrt.f64 (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)) |
(*.f64 th (*.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 -1/6 binary64) (/.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) (*.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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 th th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky))) th)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
1 calls:
| 39.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.2% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) |
(*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky th)))) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) kx))) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (/.f64 (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 kx (*.f64 kx kx))))) ky) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) |
2 calls:
| 21.0ms | kx |
| 9.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.2% | 2 | kx |
| 29.2% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
Compiled 11 to 9 computations (18.2% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) |
(*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
(*.f64 (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) kx)) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) |
2 calls:
| 19.0ms | kx |
| 8.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.9% | 2 | kx |
| 28.9% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
Compiled 11 to 9 computations (18.2% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
9 calls:
| 44.0ms | (sin.f64 th) |
| 29.0ms | ky |
| 26.0ms | kx |
| 8.0ms | (sin.f64 kx) |
| 8.0ms | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 24.4% | 1 | th |
| 24.4% | 1 | (sin.f64 th) |
| 24.4% | 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))))) |
| 24.4% | 1 | (sin.f64 ky) |
| 24.4% | 1 | ky |
| 24.4% | 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)) |
| 24.4% | 1 | (sin.f64 kx) |
| 24.4% | 1 | kx |
| 24.4% | 1 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
Compiled 69 to 51 computations (26.1% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 kx kx)) ky) (sin.f64 th))) |
| Outputs |
|---|
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
9 calls:
| 34.0ms | (/.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))))) |
| 28.0ms | ky |
| 7.0ms | th |
| 7.0ms | (sin.f64 th) |
| 7.0ms | kx |
| Accuracy | Segments | Branch |
|---|---|---|
| 23.8% | 1 | th |
| 23.8% | 1 | ky |
| 23.8% | 1 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 23.8% | 1 | (sin.f64 kx) |
| 23.8% | 1 | kx |
| 23.8% | 1 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 23.8% | 1 | (sin.f64 th) |
| 23.8% | 1 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 23.8% | 1 | (sin.f64 ky) |
Compiled 69 to 51 computations (26.1% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx kx)) |
(/.f64 (/.f64 (sin.f64 th) ky) ky) |
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 th th) (*.f64 ky (*.f64 ky ky))) (/.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky ky)))) (/.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky))))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) #s(literal 1 binary64)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.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)))) |
| Outputs |
|---|
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
9 calls:
| 10.0ms | (sin.f64 th) |
| 8.0ms | (sin.f64 ky) |
| 8.0ms | (*.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)) |
| 7.0ms | ky |
| 7.0ms | (sin.f64 kx) |
| Accuracy | Segments | Branch |
|---|---|---|
| 23.4% | 1 | ky |
| 23.4% | 1 | th |
| 23.4% | 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)) |
| 23.4% | 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))))) |
| 23.4% | 1 | (sin.f64 kx) |
| 23.4% | 1 | (sin.f64 th) |
| 23.4% | 1 | kx |
| 23.4% | 1 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 23.4% | 1 | (sin.f64 ky) |
Compiled 69 to 51 computations (26.1% saved)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 ky ky)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
9 calls:
| 7.0ms | (sin.f64 kx) |
| 5.0ms | kx |
| 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) |
| 4.0ms | (sin.f64 ky) |
| Accuracy | Segments | Branch |
|---|---|---|
| 10.7% | 1 | th |
| 10.7% | 1 | ky |
| 10.7% | 1 | (sin.f64 kx) |
| 10.7% | 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)) |
| 10.7% | 1 | (sin.f64 th) |
| 10.7% | 1 | kx |
| 10.7% | 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))))) |
| 10.7% | 1 | (sin.f64 ky) |
| 10.7% | 1 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
Compiled 69 to 51 computations (26.1% saved)
Total -1.1b remaining (-1.8%)
Threshold costs -1.1b (-1.8%)
| Inputs |
|---|
(/.f64 th (*.f64 ky ky)) |
(/.f64 th (*.f64 ky (*.f64 ky ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky ky))) th) |
(/.f64 (/.f64 th (*.f64 ky ky)) ky) |
(/.f64 #s(literal 1 binary64) (*.f64 ky (/.f64 (*.f64 ky ky) th))) |
(/.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.f64 ky ky)) |
(/.f64 (/.f64 (/.f64 th ky) ky) ky) |
(/.f64 (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th) (*.f64 ky ky)) |
(/.f64 (*.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))) (*.f64 ky ky)) |
(fma.f64 th (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 ky (*.f64 ky ky))) (/.f64 th (*.f64 ky (*.f64 ky ky)))) |
| Outputs |
|---|
(/.f64 th (*.f64 ky ky)) |
9 calls:
| 4.0ms | ky |
| 4.0ms | (/.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))))) |
| 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 kx) |
| 4.0ms | (sin.f64 ky) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.5% | 1 | th |
| 3.5% | 1 | (sin.f64 th) |
| 3.5% | 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)) |
| 3.5% | 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))))) |
| 3.5% | 1 | (sin.f64 ky) |
| 3.5% | 1 | (sin.f64 kx) |
| 3.5% | 1 | kx |
| 3.5% | 1 | ky |
| 3.5% | 1 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
Compiled 69 to 51 computations (26.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.243114456508889e-13 | 0.0025803574176822518 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.243114456508889e-13 | 0.0025803574176822518 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.243114456508889e-13 | 0.0025803574176822518 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.243114456508889e-13 | 0.0025803574176822518 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.243114456508889e-13 | 0.0025803574176822518 |
Compiled 22 to 19 computations (13.6% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9981109276908842 | 1.0 |
| 0.0ms | 1.2503053105519425e-7 | 0.08599149493097788 |
| 0.0ms | -0.018913240480215306 | 4.994202266733659e-305 |
| 0.0ms | -1.0 | -0.9875803597252832 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 0.8512555857573924 | 45.180192495812925 |
| 19.0ms | 112× | 0 | valid |
Compiled 323 to 235 computations (27.2% saved)
ival-sin: 11.0ms (70.5% of total)ival-pow2: 2.0ms (12.8% of total)ival-div: 1.0ms (6.4% of total)ival-mult: 1.0ms (6.4% of total)ival-sqrt: 1.0ms (6.4% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.8512555857573924 | 45.180192495812925 |
Compiled 309 to 221 computations (28.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.8512555857573924 | 45.180192495812925 |
Compiled 421 to 305 computations (27.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.8512555857573924 | 45.180192495812925 |
Compiled 330 to 256 computations (22.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.8512555857573924 | 45.180192495812925 |
Compiled 309 to 242 computations (21.7% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 8.338717523447561e-8 | 1.7342752419538567 |
| 42.0ms | 2.589955788462903e-94 | 3.854655170316984e-91 |
| 17.0ms | 1.7414348096725085e-161 | 9.573365328112992e-160 |
| 21.0ms | 3.5712564856678443e-184 | 4.6627724256825094e-182 |
| 74.0ms | 496× | 0 | valid |
Compiled 1 313 to 995 computations (24.2% saved)
ival-sin: 24.0ms (49.7% of total)ival-pow2: 9.0ms (18.7% of total)ival-sqrt: 7.0ms (14.5% of total)ival-div: 3.0ms (6.2% of total)ival-mult: 3.0ms (6.2% of total)ival-add: 2.0ms (4.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 8.338717523447561e-8 | 1.7342752419538567 |
| 1.0ms | 2.589955788462903e-94 | 3.854655170316984e-91 |
| 1.0ms | 1.7414348096725085e-161 | 9.573365328112992e-160 |
| 1.0ms | 3.5712564856678443e-184 | 4.6627724256825094e-182 |
| 18.0ms | 128× | 0 | valid |
Compiled 1 313 to 1 012 computations (22.9% saved)
ival-sin: 7.0ms (47.5% of total)ival-pow2: 5.0ms (33.9% of total)ival-div: 1.0ms (6.8% of total)ival-add: 1.0ms (6.8% of total)ival-mult: 1.0ms (6.8% of total)ival-sqrt: 1.0ms (6.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.338717523447561e-8 | 1.7342752419538567 |
| 1.0ms | 2.589955788462903e-94 | 3.854655170316984e-91 |
| 1.0ms | 1.7414348096725085e-161 | 9.573365328112992e-160 |
| 1.0ms | 3.5712564856678443e-184 | 4.6627724256825094e-182 |
Compiled 1 304 to 1 003 computations (23.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.8512555857573924 | 45.180192495812925 |
| 8.0ms | 3.886175688471652e-201 | 5.448140973508261e-201 |
| 6.0ms | 48× | 0 | valid |
Compiled 661 to 428 computations (35.2% saved)
ival-sin: 2.0ms (44.9% of total)ival-pow2: 1.0ms (22.5% 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)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.8512555857573924 | 45.180192495812925 |
| 1.0ms | 3.886175688471652e-201 | 5.448140973508261e-201 |
Compiled 668 to 435 computations (34.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.8512555857573924 | 45.180192495812925 |
| 1.0ms | 3.886175688471652e-201 | 5.448140973508261e-201 |
Compiled 618 to 415 computations (32.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.8512555857573924 | 45.180192495812925 |
| 0.0ms | 3.886175688471652e-201 | 5.448140973508261e-201 |
Compiled 568 to 395 computations (30.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.8512555857573924 | 45.180192495812925 |
| 0.0ms | 3.886175688471652e-201 | 5.448140973508261e-201 |
Compiled 498 to 365 computations (26.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.8512555857573924 | 45.180192495812925 |
Compiled 302 to 235 computations (22.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 7.901338150282006e-7 | 0.8512555857573924 |
| 19.0ms | 144× | 0 | valid |
Compiled 472 to 351 computations (25.6% saved)
ival-sin: 7.0ms (52.7% of total)ival-pow2: 3.0ms (22.6% of total)ival-div: 1.0ms (7.5% of total)ival-add: 1.0ms (7.5% of total)ival-mult: 1.0ms (7.5% of total)ival-sqrt: 1.0ms (7.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.243114456508889e-13 | 0.0025803574176822518 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.243114456508889e-13 | 0.0025803574176822518 |
Compiled 22 to 19 computations (13.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 1.93899171380535e-22 | 3.378667094237667e-15 |
| 0.0ms | 3.854655170316984e-91 | 3.864251793272886e-91 |
| 21.0ms | 144× | 0 | valid |
Compiled 301 to 243 computations (19.3% saved)
ival-sin: 8.0ms (55.1% of total)ival-pow2: 3.0ms (20.7% of total)ival-div: 1.0ms (6.9% of total)ival-add: 1.0ms (6.9% of total)ival-mult: 1.0ms (6.9% of total)ival-sqrt: 1.0ms (6.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.009192093932883286 | 0.010073888079587848 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.009192093932883286 | 0.010073888079587848 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.009192093932883286 | 0.010073888079587848 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.009192093932883286 | 0.010073888079587848 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | egg-herbie |
| 154× | *-commutative_binary64 |
| 32× | +-commutative_binary64 |
| 26× | sub-neg_binary64 |
| 14× | neg-sub0_binary64 |
| 14× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 286 | 1724 |
| 1 | 380 | 1724 |
| 2 | 408 | 1724 |
| 3 | 422 | 1724 |
| 4 | 429 | 1724 |
| 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 4951760157141521/4951760157141521099596496896 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (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)) (sin.f64 th))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (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))))))))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (sin.f64 th))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 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 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 -1 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx kx) 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 -5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) 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 944473296573929/4722366482869645213696 binary64)) (*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.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 2247546001011543/2251799813685248 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 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)))))) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx kx) kx))) (sin.f64 th)))))) |
(if (<=.f64 kx #s(literal 7746191359077253/9007199254740992 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.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))) (sin.f64 th))) |
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(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64)))))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64)))))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) (*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(/.f64 th (*.f64 ky ky)) |
| 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 4951760157141521/4951760157141521099596496896 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (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)) (sin.f64 th))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx)))) (*.f64 (sin.f64 th) (*.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)))))))))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (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))))))))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx)))) (*.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 (sin.f64 ky) (sin.f64 th)))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx)))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64)))))))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (sin.f64 th))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx)))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 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 ky ky)))))) (sin.f64 th))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx)))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 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 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 -1 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx kx) 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 -5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) 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 944473296573929/4722366482869645213696 binary64)) (*.f64 (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.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 2247546001011543/2251799813685248 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 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)))))) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx kx) 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 -1 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx kx) 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 -5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) 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 944473296573929/4722366482869645213696 binary64)) (*.f64 (sin.f64 th) (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 ky) (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 2247546001011543/2251799813685248 binary64)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 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)))))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx kx) kx)))))))) |
(if (<=.f64 kx #s(literal 7746191359077253/9007199254740992 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.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))) (sin.f64 th))) |
(if (<=.f64 kx #s(literal 7746191359077253/9007199254740992 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx)))) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (*.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))))) |
(if (<=.f64 kx #s(literal 7746191359077253/9007199254740992 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx kx) kx))) (sin.f64 th)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.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))) (sin.f64 th))) |
(if (<=.f64 kx #s(literal 7746191359077253/9007199254740992 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx kx) kx)))) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (*.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))))) |
(if (<=.f64 kx #s(literal 7746191359077253/9007199254740992 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.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)) (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 #s(literal 1 binary64) (/.f64 (*.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))) (sin.f64 th))) |
(if (<=.f64 kx #s(literal 7746191359077253/9007199254740992 binary64)) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.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)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)))) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (*.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))))) |
(if (<=.f64 kx #s(literal 7746191359077253/9007199254740992 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) (*.f64 kx kx)))) (sin.f64 th)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.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))) (sin.f64 th))) |
(if (<=.f64 kx #s(literal 7746191359077253/9007199254740992 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx))))) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (*.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))))) |
(if (<=.f64 kx #s(literal 7746191359077253/9007199254740992 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) (*.f64 kx kx)))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))) |
(if (<=.f64 kx #s(literal 7746191359077253/9007199254740992 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx kx))))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) |
(if (<=.f64 ky #s(literal 8372115032861669/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 binary64)) (*.f64 (/.f64 (fma.f64 ky (*.f64 (pow.f64 ky #s(literal 6 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 6 binary64)) #s(literal -1/6 binary64))) ky) kx) (sin.f64 th)) (if (<=.f64 ky #s(literal 8864321588796067/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 ky (sin.f64 th))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (if (<=.f64 ky #s(literal 8513466862555145/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (sin.f64 th)) (if (<=.f64 ky #s(literal 5534023222112865/1152921504606846976 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64))))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th)))))) |
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(if (<=.f64 kx #s(literal 1723641332219371/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (sin.f64 th)) (if (<=.f64 kx #s(literal 7746191359077253/9007199254740992 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) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) 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))))))) |
(if (<=.f64 kx #s(literal 1723641332219371/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx))))) (if (<=.f64 kx #s(literal 7746191359077253/9007199254740992 binary64)) (*.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 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 kx #s(literal 1723641332219371/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx)))) (sin.f64 th)) (if (<=.f64 kx #s(literal 7746191359077253/9007199254740992 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) (*.f64 kx kx)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) 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))))))) |
(if (<=.f64 kx #s(literal 1723641332219371/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx kx))))) (if (<=.f64 kx #s(literal 7746191359077253/9007199254740992 binary64)) (*.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 kx 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))))))) |
(if (<=.f64 kx #s(literal 7746191359077253/9007199254740992 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.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)))))) |
(if (<=.f64 kx #s(literal 7746191359077253/9007199254740992 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 kx 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)))))) |
(if (<=.f64 kx #s(literal 3112888062438487/1152921504606846976 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (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)))))) |
(if (<=.f64 kx #s(literal 3112888062438487/1152921504606846976 binary64)) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky)))))) (*.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 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64)))) ky)) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky)))))) (*.f64 ky (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) (*.f64 (/.f64 ky (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky)))))) (*.f64 (sin.f64 th) (/.f64 ky (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) |
(if (<=.f64 ky #s(literal 7082323726177341/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) (if (<=.f64 ky #s(literal 237684487542793/79228162514264337593543950336 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))) |
(if (<=.f64 ky #s(literal 7082323726177341/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (*.f64 (sin.f64 th) (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) (if (<=.f64 ky #s(literal 237684487542793/79228162514264337593543950336 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64)))))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) ky)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64)))))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky) (sin.f64 th))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64)))))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64)))) ky) (sin.f64 th))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64)))))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64)))))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64)))) ky))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (/.f64 th (sqrt.f64 #s(literal 1/2 binary64)))))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) (*.f64 (*.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))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))) |
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64)))) ky))) (*.f64 (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th) (*.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 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) ky)) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64)))) ky))) |
(*.f64 (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (sin.f64 th)) |
(*.f64 (sin.f64 th) (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) kx)) |
(/.f64 th (*.f64 ky ky)) |
| 16 720× | lower-fma.f64 |
| 16 720× | lower-fma.f32 |
| 9 006× | lower-fma.f64 |
| 9 006× | lower-fma.f32 |
| 8 356× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 282 |
| 0 | 85 | 282 |
| 1 | 316 | 253 |
| 0 | 2384 | 249 |
| 0 | 1362 | 12790 |
| 1 | 4056 | 12039 |
| 0 | 8492 | 11343 |
| 0 | 1017 | 12702 |
| 1 | 3282 | 11950 |
| 0 | 8394 | 11166 |
| 0 | 47 | 287 |
| 0 | 91 | 275 |
| 1 | 360 | 235 |
| 0 | 2962 | 235 |
| 0 | 53 | 321 |
| 0 | 102 | 309 |
| 1 | 383 | 294 |
| 0 | 3045 | 284 |
| 0 | 282 | 2048 |
| 1 | 747 | 1936 |
| 2 | 2304 | 1876 |
| 3 | 3544 | 1851 |
| 4 | 6452 | 1851 |
| 5 | 6922 | 1851 |
| 6 | 7386 | 1851 |
| 7 | 7838 | 1851 |
| 0 | 8008 | 1790 |
| 0 | 1296 | 13298 |
| 1 | 3966 | 12677 |
| 0 | 8264 | 11810 |
| 0 | 13 | 54 |
| 0 | 22 | 54 |
| 1 | 62 | 54 |
| 2 | 338 | 54 |
| 3 | 2902 | 54 |
| 0 | 8284 | 37 |
| 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× | 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 |
Compiled 5 128 to 2 747 computations (46.4% saved)
(negabs ky)
(negabs th)
(abs kx)
Compiled 3 828 to 808 computations (78.9% saved)
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